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145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z",[465,494],{"id":495,"d":496},"MJX-1-TEX-N-2E","M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z",[498,499,503],"g",{"stroke":500,"fill":500,"stroke-width":501,"transform":502},"currentColor","0","scale(1,-1)",[498,504,506,535,543,560,565,590],{"dataMmlNode":505},"math",[498,507,509,522],{"dataMmlNode":508},"msub",[498,510,512,517],{"dataMmlNode":511},"mn",[513,514],"use",{"dataC":515,"xLinkHref":516},"31","#MJX-1-TEX-N-31",[513,518],{"dataC":519,"xLinkHref":520,"transform":521},"34","#MJX-1-TEX-N-34","translate(500,0)",[498,523,527],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},"TeXAtom","translate(1033,-150) scale(0.707)","ORD",[498,528,529,531],{"dataMmlNode":511},[513,530],{"dataC":515,"xLinkHref":516},[513,532],{"dataC":533,"xLinkHref":534,"transform":521},"36","#MJX-1-TEX-N-36",[498,536,539],{"dataMmlNode":537,"transform":538},"mo","translate(1790.1,0)",[513,540],{"dataC":541,"xLinkHref":542},"2C","#MJX-1-TEX-N-2C",[498,544,546,554],{"dataMmlNode":508,"transform":545},"translate(2234.8,0)",[498,547,548,552],{"dataMmlNode":511},[513,549],{"dataC":550,"xLinkHref":551},"32","#MJX-1-TEX-N-32",[513,553],{"dataC":533,"xLinkHref":534,"transform":521},[498,555,556],{"dataMmlNode":511,"transform":525},[513,557],{"dataC":558,"xLinkHref":559},"38","#MJX-1-TEX-N-38",[498,561,563],{"dataMmlNode":537,"transform":562},"translate(3671.3,0)",[513,564],{"dataC":541,"xLinkHref":542},[498,566,568,585],{"dataMmlNode":508,"transform":567},"translate(4116,0)",[498,569,570,572,574,579,582],{"dataMmlNode":511},[513,571],{"dataC":515,"xLinkHref":516},[513,573],{"dataC":515,"xLinkHref":516,"transform":521},[513,575],{"dataC":576,"xLinkHref":577,"transform":578},"30","#MJX-1-TEX-N-30","translate(1000,0)",[513,580],{"dataC":576,"xLinkHref":577,"transform":581},"translate(1500,0)",[513,583],{"dataC":576,"xLinkHref":577,"transform":584},"translate(2000,0)",[498,586,588],{"dataMmlNode":511,"transform":587},"translate(2533,-150) scale(0.707)",[513,589],{"dataC":550,"xLinkHref":551},[498,591,593],{"dataMmlNode":537,"transform":592},"translate(7052.5,0)",[513,594],{"dataC":595,"xLinkHref":596},"2E","#MJX-1-TEX-N-2E",[441,598,600],{"id":599},"решение","Решение:",[402,602,603,604],{},"Число 14 находится в шестнадцатеричной системе. Об этом говорит маленький индекс возле числа.\nПереведём его в нашу родную десятичную систему.\n",[445,605,607],{"className":606,"jax":449},[448],[451,608,613,642],{"style":609,"xmlns":454,"width":610,"height":611,"role":457,"focusable":458,"viewBox":612,"xmlnsXLink":460},"vertical-align: -0.375ex;","29.936ex","2.329ex","0 -864 13231.8 1029.5",[462,614,615,618,621,624,628,632,635,639],{},[465,616],{"id":617,"d":468},"MJX-2-TEX-N-31",[465,619],{"id":620,"d":472},"MJX-2-TEX-N-34",[465,622],{"id":623,"d":476},"MJX-2-TEX-N-36",[465,625],{"id":626,"d":627},"MJX-2-TEX-N-3D","M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z",[465,629],{"id":630,"d":631},"MJX-2-TEX-N-2217","M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z",[465,633],{"id":634,"d":492},"MJX-2-TEX-N-30",[465,636],{"id":637,"d":638},"MJX-2-TEX-N-2B","M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z",[465,640],{"id":641,"d":484},"MJX-2-TEX-N-32",[498,643,644],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,645,646,665,672,677,684,700,707,712,717,730,735],{"dataMmlNode":505},[498,647,648,656],{"dataMmlNode":508},[498,649,650,653],{"dataMmlNode":511},[513,651],{"dataC":515,"xLinkHref":652},"#MJX-2-TEX-N-31",[513,654],{"dataC":519,"xLinkHref":655,"transform":521},"#MJX-2-TEX-N-34",[498,657,658],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,659,660,662],{"dataMmlNode":511},[513,661],{"dataC":515,"xLinkHref":652},[513,663],{"dataC":533,"xLinkHref":664,"transform":521},"#MJX-2-TEX-N-36",[498,666,668],{"dataMmlNode":537,"transform":667},"translate(2067.9,0)",[513,669],{"dataC":670,"xLinkHref":671},"3D","#MJX-2-TEX-N-3D",[498,673,675],{"dataMmlNode":511,"transform":674},"translate(3123.7,0)",[513,676],{"dataC":519,"xLinkHref":655},[498,678,680],{"dataMmlNode":537,"transform":679},"translate(3845.9,0)",[513,681],{"dataC":682,"xLinkHref":683},"2217","#MJX-2-TEX-N-2217",[498,685,688,694],{"dataMmlNode":686,"transform":687},"msup","translate(4568.1,0)",[498,689,690,692],{"dataMmlNode":511},[513,691],{"dataC":515,"xLinkHref":652},[513,693],{"dataC":533,"xLinkHref":664,"transform":521},[498,695,697],{"dataMmlNode":511,"transform":696},"translate(1033,393.1) scale(0.707)",[513,698],{"dataC":576,"xLinkHref":699},"#MJX-2-TEX-N-30",[498,701,703],{"dataMmlNode":537,"transform":702},"translate(6226.9,0)",[513,704],{"dataC":705,"xLinkHref":706},"2B","#MJX-2-TEX-N-2B",[498,708,710],{"dataMmlNode":511,"transform":709},"translate(7227.1,0)",[513,711],{"dataC":515,"xLinkHref":652},[498,713,715],{"dataMmlNode":537,"transform":714},"translate(7949.3,0)",[513,716],{"dataC":682,"xLinkHref":683},[498,718,720,726],{"dataMmlNode":686,"transform":719},"translate(8671.5,0)",[498,721,722,724],{"dataMmlNode":511},[513,723],{"dataC":515,"xLinkHref":652},[513,725],{"dataC":533,"xLinkHref":664,"transform":521},[498,727,728],{"dataMmlNode":511,"transform":696},[513,729],{"dataC":515,"xLinkHref":652},[498,731,733],{"dataMmlNode":537,"transform":732},"translate(10385.9,0)",[513,734],{"dataC":670,"xLinkHref":671},[498,736,738,745],{"dataMmlNode":508,"transform":737},"translate(11441.7,0)",[498,739,740,743],{"dataMmlNode":511},[513,741],{"dataC":550,"xLinkHref":742},"#MJX-2-TEX-N-32",[513,744],{"dataC":576,"xLinkHref":699,"transform":521},[498,746,747],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,748,749,751],{"dataMmlNode":511},[513,750],{"dataC":515,"xLinkHref":652},[513,752],{"dataC":576,"xLinkHref":699,"transform":521},[402,754,755],{},"Берём поочередно цифры, начиная с младшего разряда. Первую правую цифру умножаем на 16 в нулевой степени, вторую цифру на 16 в первой степени и т.д.\nУмножаем на 16, потому что переводим из шестнадцатеричной системы. Степень потихоньку увеличивается на 1.\nНеобходимо помнить, что любое число в нулевой степени это единица!",[402,757,758],{},"Остаётся только посчитать полученный пример. Получается число 20 в десятичной системе.",[402,760,761,762],{},"Переведём число 26 из восьмеричной системы в нашу родную десятичную систему. Делаем аналогично предыдущему примеру.\n",[445,763,765],{"className":764,"jax":449},[448],[451,766,770,796],{"style":609,"xmlns":454,"width":767,"height":768,"role":457,"focusable":458,"viewBox":769,"xmlnsXLink":460},"26.874ex","2.261ex","0 -833.9 11878.2 999.5",[462,771,772,775,778,781,784,787,790,793],{},[465,773],{"id":774,"d":484},"MJX-3-TEX-N-32",[465,776],{"id":777,"d":476},"MJX-3-TEX-N-36",[465,779],{"id":780,"d":488},"MJX-3-TEX-N-38",[465,782],{"id":783,"d":627},"MJX-3-TEX-N-3D",[465,785],{"id":786,"d":631},"MJX-3-TEX-N-2217",[465,788],{"id":789,"d":492},"MJX-3-TEX-N-30",[465,791],{"id":792,"d":638},"MJX-3-TEX-N-2B",[465,794],{"id":795,"d":468},"MJX-3-TEX-N-31",[498,797,798],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,799,800,815,821,826,832,845,851,856,861,873,878],{"dataMmlNode":505},[498,801,802,810],{"dataMmlNode":508},[498,803,804,807],{"dataMmlNode":511},[513,805],{"dataC":550,"xLinkHref":806},"#MJX-3-TEX-N-32",[513,808],{"dataC":533,"xLinkHref":809,"transform":521},"#MJX-3-TEX-N-36",[498,811,812],{"dataMmlNode":511,"transform":525},[513,813],{"dataC":558,"xLinkHref":814},"#MJX-3-TEX-N-38",[498,816,818],{"dataMmlNode":537,"transform":817},"translate(1714.3,0)",[513,819],{"dataC":670,"xLinkHref":820},"#MJX-3-TEX-N-3D",[498,822,824],{"dataMmlNode":511,"transform":823},"translate(2770.1,0)",[513,825],{"dataC":533,"xLinkHref":809},[498,827,829],{"dataMmlNode":537,"transform":828},"translate(3492.3,0)",[513,830],{"dataC":682,"xLinkHref":831},"#MJX-3-TEX-N-2217",[498,833,835,839],{"dataMmlNode":686,"transform":834},"translate(4214.6,0)",[498,836,837],{"dataMmlNode":511},[513,838],{"dataC":558,"xLinkHref":814},[498,840,842],{"dataMmlNode":511,"transform":841},"translate(533,363) scale(0.707)",[513,843],{"dataC":576,"xLinkHref":844},"#MJX-3-TEX-N-30",[498,846,848],{"dataMmlNode":537,"transform":847},"translate(5373.3,0)",[513,849],{"dataC":705,"xLinkHref":850},"#MJX-3-TEX-N-2B",[498,852,854],{"dataMmlNode":511,"transform":853},"translate(6373.6,0)",[513,855],{"dataC":550,"xLinkHref":806},[498,857,859],{"dataMmlNode":537,"transform":858},"translate(7095.8,0)",[513,860],{"dataC":682,"xLinkHref":831},[498,862,864,868],{"dataMmlNode":686,"transform":863},"translate(7818,0)",[498,865,866],{"dataMmlNode":511},[513,867],{"dataC":558,"xLinkHref":814},[498,869,870],{"dataMmlNode":511,"transform":841},[513,871],{"dataC":515,"xLinkHref":872},"#MJX-3-TEX-N-31",[498,874,876],{"dataMmlNode":537,"transform":875},"translate(9032.3,0)",[513,877],{"dataC":670,"xLinkHref":820},[498,879,881,887],{"dataMmlNode":508,"transform":880},"translate(10088.1,0)",[498,882,883,885],{"dataMmlNode":511},[513,884],{"dataC":550,"xLinkHref":806},[513,886],{"dataC":550,"xLinkHref":806,"transform":521},[498,888,889],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,890,891,893],{"dataMmlNode":511},[513,892],{"dataC":515,"xLinkHref":872},[513,894],{"dataC":576,"xLinkHref":844,"transform":521},[402,896,897,898,1116],{},"Аналогично переведём число и из двоичной системы.\n",[445,899,901],{"className":900,"jax":449},[448],[451,902,906,933],{"style":609,"xmlns":454,"width":903,"height":904,"role":457,"focusable":458,"viewBox":905,"xmlnsXLink":460},"54.725ex","2.279ex","0 -841.7 24188.5 1007.3",[462,907,908,911,914,917,920,923,926,930],{},[465,909],{"id":910,"d":468},"MJX-4-TEX-N-31",[465,912],{"id":913,"d":492},"MJX-4-TEX-N-30",[465,915],{"id":916,"d":484},"MJX-4-TEX-N-32",[465,918],{"id":919,"d":627},"MJX-4-TEX-N-3D",[465,921],{"id":922,"d":631},"MJX-4-TEX-N-2217",[465,924],{"id":925,"d":638},"MJX-4-TEX-N-2B",[465,927],{"id":928,"d":929},"MJX-4-TEX-N-33","M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z",[465,931],{"id":932,"d":472},"MJX-4-TEX-N-34",[498,934,935],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,936,937,958,964,969,975,986,992,997,1002,1013,1018,1023,1028,1039,1044,1049,1054,1067,1072,1077,1082,1094,1099],{"dataMmlNode":505},[498,938,939,953],{"dataMmlNode":508},[498,940,941,944,946,949,951],{"dataMmlNode":511},[513,942],{"dataC":515,"xLinkHref":943},"#MJX-4-TEX-N-31",[513,945],{"dataC":515,"xLinkHref":943,"transform":521},[513,947],{"dataC":576,"xLinkHref":948,"transform":578},"#MJX-4-TEX-N-30",[513,950],{"dataC":576,"xLinkHref":948,"transform":581},[513,952],{"dataC":576,"xLinkHref":948,"transform":584},[498,954,955],{"dataMmlNode":511,"transform":587},[513,956],{"dataC":550,"xLinkHref":957},"#MJX-4-TEX-N-32",[498,959,961],{"dataMmlNode":537,"transform":960},"translate(3214.3,0)",[513,962],{"dataC":670,"xLinkHref":963},"#MJX-4-TEX-N-3D",[498,965,967],{"dataMmlNode":511,"transform":966},"translate(4270.1,0)",[513,968],{"dataC":576,"xLinkHref":948},[498,970,972],{"dataMmlNode":537,"transform":971},"translate(4992.3,0)",[513,973],{"dataC":682,"xLinkHref":974},"#MJX-4-TEX-N-2217",[498,976,978,982],{"dataMmlNode":686,"transform":977},"translate(5714.6,0)",[498,979,980],{"dataMmlNode":511},[513,981],{"dataC":550,"xLinkHref":957},[498,983,984],{"dataMmlNode":511,"transform":841},[513,985],{"dataC":576,"xLinkHref":948},[498,987,989],{"dataMmlNode":537,"transform":988},"translate(6873.3,0)",[513,990],{"dataC":705,"xLinkHref":991},"#MJX-4-TEX-N-2B",[498,993,995],{"dataMmlNode":511,"transform":994},"translate(7873.6,0)",[513,996],{"dataC":576,"xLinkHref":948},[498,998,1000],{"dataMmlNode":537,"transform":999},"translate(8595.8,0)",[513,1001],{"dataC":682,"xLinkHref":974},[498,1003,1005,1009],{"dataMmlNode":686,"transform":1004},"translate(9318,0)",[498,1006,1007],{"dataMmlNode":511},[513,1008],{"dataC":550,"xLinkHref":957},[498,1010,1011],{"dataMmlNode":511,"transform":841},[513,1012],{"dataC":515,"xLinkHref":943},[498,1014,1016],{"dataMmlNode":537,"transform":1015},"translate(10476.8,0)",[513,1017],{"dataC":705,"xLinkHref":991},[498,1019,1021],{"dataMmlNode":511,"transform":1020},"translate(11477,0)",[513,1022],{"dataC":576,"xLinkHref":948},[498,1024,1026],{"dataMmlNode":537,"transform":1025},"translate(12199.2,0)",[513,1027],{"dataC":682,"xLinkHref":974},[498,1029,1031,1035],{"dataMmlNode":686,"transform":1030},"translate(12921.4,0)",[498,1032,1033],{"dataMmlNode":511},[513,1034],{"dataC":550,"xLinkHref":957},[498,1036,1037],{"dataMmlNode":511,"transform":841},[513,1038],{"dataC":550,"xLinkHref":957},[498,1040,1042],{"dataMmlNode":537,"transform":1041},"translate(14080.2,0)",[513,1043],{"dataC":705,"xLinkHref":991},[498,1045,1047],{"dataMmlNode":511,"transform":1046},"translate(15080.4,0)",[513,1048],{"dataC":515,"xLinkHref":943},[498,1050,1052],{"dataMmlNode":537,"transform":1051},"translate(15802.7,0)",[513,1053],{"dataC":682,"xLinkHref":974},[498,1055,1057,1061],{"dataMmlNode":686,"transform":1056},"translate(16524.9,0)",[498,1058,1059],{"dataMmlNode":511},[513,1060],{"dataC":550,"xLinkHref":957},[498,1062,1063],{"dataMmlNode":511,"transform":841},[513,1064],{"dataC":1065,"xLinkHref":1066},"33","#MJX-4-TEX-N-33",[498,1068,1070],{"dataMmlNode":537,"transform":1069},"translate(17683.7,0)",[513,1071],{"dataC":705,"xLinkHref":991},[498,1073,1075],{"dataMmlNode":511,"transform":1074},"translate(18683.9,0)",[513,1076],{"dataC":515,"xLinkHref":943},[498,1078,1080],{"dataMmlNode":537,"transform":1079},"translate(19406.1,0)",[513,1081],{"dataC":682,"xLinkHref":974},[498,1083,1085,1089],{"dataMmlNode":686,"transform":1084},"translate(20128.3,0)",[498,1086,1087],{"dataMmlNode":511},[513,1088],{"dataC":550,"xLinkHref":957},[498,1090,1091],{"dataMmlNode":511,"transform":841},[513,1092],{"dataC":519,"xLinkHref":1093},"#MJX-4-TEX-N-34",[498,1095,1097],{"dataMmlNode":537,"transform":1096},"translate(21342.7,0)",[513,1098],{"dataC":670,"xLinkHref":963},[498,1100,1102,1108],{"dataMmlNode":508,"transform":1101},"translate(22398.4,0)",[498,1103,1104,1106],{"dataMmlNode":511},[513,1105],{"dataC":550,"xLinkHref":957},[513,1107],{"dataC":519,"xLinkHref":1093,"transform":521},[498,1109,1110],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,1111,1112,1114],{"dataMmlNode":511},[513,1113],{"dataC":515,"xLinkHref":943},[513,1115],{"dataC":576,"xLinkHref":948,"transform":521},"\nНаибольшее из трёх чисел это 24.",[402,1118,1119],{},[406,1120,1121],{},"Ответ: 24",[433,1123,1125],{"id":1124},"задача-2-классическая-закрепление","Задача 2 (Классическая, закрепление)",[402,1127,439],{},[441,1129,1131],{"id":1130},"_1",[445,1132,1134],{"className":1133,"jax":449},[448],[451,1135,1139,1169],{"style":453,"xmlns":454,"width":1136,"height":1137,"role":457,"focusable":458,"viewBox":1138,"xmlnsXLink":460},"17.327ex","1.984ex","0 -683 7658.5 877",[462,1140,1141,1144,1148,1151,1154,1157,1160,1163,1166],{},[465,1142],{"id":1143,"d":468},"MJX-5-TEX-N-31",[465,1145],{"id":1146,"d":1147},"MJX-5-TEX-I-1D437","M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z",[465,1149],{"id":1150,"d":476},"MJX-5-TEX-N-36",[465,1152],{"id":1153,"d":480},"MJX-5-TEX-N-2C",[465,1155],{"id":1156,"d":929},"MJX-5-TEX-N-33",[465,1158],{"id":1159,"d":488},"MJX-5-TEX-N-38",[465,1161],{"id":1162,"d":492},"MJX-5-TEX-N-30",[465,1164],{"id":1165,"d":484},"MJX-5-TEX-N-32",[465,1167],{"id":1168,"d":496},"MJX-5-TEX-N-2E",[498,1170,1171],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,1172,1173,1178,1197,1203,1218,1223,1244],{"dataMmlNode":505},[498,1174,1175],{"dataMmlNode":511},[513,1176],{"dataC":515,"xLinkHref":1177},"#MJX-5-TEX-N-31",[498,1179,1180,1187],{"dataMmlNode":508,"transform":521},[498,1181,1183],{"dataMmlNode":1182},"mi",[513,1184],{"dataC":1185,"xLinkHref":1186},"1D437","#MJX-5-TEX-I-1D437",[498,1188,1190],{"dataMmlNode":524,"transform":1189,"dataMjxTexclass":526},"translate(861,-150) scale(0.707)",[498,1191,1192,1194],{"dataMmlNode":511},[513,1193],{"dataC":515,"xLinkHref":1177},[513,1195],{"dataC":533,"xLinkHref":1196,"transform":521},"#MJX-5-TEX-N-36",[498,1198,1200],{"dataMmlNode":537,"transform":1199},"translate(2118.1,0)",[513,1201],{"dataC":541,"xLinkHref":1202},"#MJX-5-TEX-N-2C",[498,1204,1206,1213],{"dataMmlNode":508,"transform":1205},"translate(2562.8,0)",[498,1207,1208,1211],{"dataMmlNode":511},[513,1209],{"dataC":1065,"xLinkHref":1210},"#MJX-5-TEX-N-33",[513,1212],{"dataC":533,"xLinkHref":1196,"transform":521},[498,1214,1215],{"dataMmlNode":511,"transform":525},[513,1216],{"dataC":558,"xLinkHref":1217},"#MJX-5-TEX-N-38",[498,1219,1221],{"dataMmlNode":537,"transform":1220},"translate(3999.3,0)",[513,1222],{"dataC":541,"xLinkHref":1202},[498,1224,1226,1239],{"dataMmlNode":508,"transform":1225},"translate(4444,0)",[498,1227,1228,1230,1232,1235,1237],{"dataMmlNode":511},[513,1229],{"dataC":515,"xLinkHref":1177},[513,1231],{"dataC":515,"xLinkHref":1177,"transform":521},[513,1233],{"dataC":576,"xLinkHref":1234,"transform":578},"#MJX-5-TEX-N-30",[513,1236],{"dataC":515,"xLinkHref":1177,"transform":581},[513,1238],{"dataC":515,"xLinkHref":1177,"transform":584},[498,1240,1241],{"dataMmlNode":511,"transform":587},[513,1242],{"dataC":550,"xLinkHref":1243},"#MJX-5-TEX-N-32",[498,1245,1247],{"dataMmlNode":537,"transform":1246},"translate(7380.5,0)",[513,1248],{"dataC":595,"xLinkHref":1249},"#MJX-5-TEX-N-2E",[441,1251,600],{"id":1252},"решение-1",[402,1254,1255],{},"В шестнадцатеричной системе буквы при переводе в десятичную систему нужно превратить в числа: A = 10, B = 11, C = 12, D = 13, E = 14, F = 15.",[402,1257,1258,1259],{},"Переведём первое число:\n",[445,1260,1262],{"className":1261,"jax":449},[448],[451,1263,1266,1299],{"style":609,"xmlns":454,"width":1264,"height":611,"role":457,"focusable":458,"viewBox":1265,"xmlnsXLink":460},"31.809ex","0 -864 14059.8 1029.5",[462,1267,1268,1271,1274,1277,1280,1283,1286,1289,1292,1295],{},[465,1269],{"id":1270,"d":468},"MJX-6-TEX-N-31",[465,1272],{"id":1273,"d":1147},"MJX-6-TEX-I-1D437",[465,1275],{"id":1276,"d":476},"MJX-6-TEX-N-36",[465,1278],{"id":1279,"d":627},"MJX-6-TEX-N-3D",[465,1281],{"id":1282,"d":929},"MJX-6-TEX-N-33",[465,1284],{"id":1285,"d":631},"MJX-6-TEX-N-2217",[465,1287],{"id":1288,"d":492},"MJX-6-TEX-N-30",[465,1290],{"id":1291,"d":638},"MJX-6-TEX-N-2B",[465,1293],{"id":1294,"d":484},"MJX-6-TEX-N-32",[465,1296],{"id":1297,"d":1298},"MJX-6-TEX-N-39","M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z",[498,1300,1301],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,1302,1303,1308,1324,1330,1338,1344,1358,1364,1369,1374,1387,1392],{"dataMmlNode":505},[498,1304,1305],{"dataMmlNode":511},[513,1306],{"dataC":515,"xLinkHref":1307},"#MJX-6-TEX-N-31",[498,1309,1310,1315],{"dataMmlNode":508,"transform":521},[498,1311,1312],{"dataMmlNode":1182},[513,1313],{"dataC":1185,"xLinkHref":1314},"#MJX-6-TEX-I-1D437",[498,1316,1317],{"dataMmlNode":524,"transform":1189,"dataMjxTexclass":526},[498,1318,1319,1321],{"dataMmlNode":511},[513,1320],{"dataC":515,"xLinkHref":1307},[513,1322],{"dataC":533,"xLinkHref":1323,"transform":521},"#MJX-6-TEX-N-36",[498,1325,1327],{"dataMmlNode":537,"transform":1326},"translate(2395.9,0)",[513,1328],{"dataC":670,"xLinkHref":1329},"#MJX-6-TEX-N-3D",[498,1331,1333,1335],{"dataMmlNode":511,"transform":1332},"translate(3451.7,0)",[513,1334],{"dataC":515,"xLinkHref":1307},[513,1336],{"dataC":1065,"xLinkHref":1337,"transform":521},"#MJX-6-TEX-N-33",[498,1339,1341],{"dataMmlNode":537,"transform":1340},"translate(4673.9,0)",[513,1342],{"dataC":682,"xLinkHref":1343},"#MJX-6-TEX-N-2217",[498,1345,1347,1353],{"dataMmlNode":686,"transform":1346},"translate(5396.1,0)",[498,1348,1349,1351],{"dataMmlNode":511},[513,1350],{"dataC":515,"xLinkHref":1307},[513,1352],{"dataC":533,"xLinkHref":1323,"transform":521},[498,1354,1355],{"dataMmlNode":511,"transform":696},[513,1356],{"dataC":576,"xLinkHref":1357},"#MJX-6-TEX-N-30",[498,1359,1361],{"dataMmlNode":537,"transform":1360},"translate(7054.9,0)",[513,1362],{"dataC":705,"xLinkHref":1363},"#MJX-6-TEX-N-2B",[498,1365,1367],{"dataMmlNode":511,"transform":1366},"translate(8055.1,0)",[513,1368],{"dataC":515,"xLinkHref":1307},[498,1370,1372],{"dataMmlNode":537,"transform":1371},"translate(8777.3,0)",[513,1373],{"dataC":682,"xLinkHref":1343},[498,1375,1377,1383],{"dataMmlNode":686,"transform":1376},"translate(9499.5,0)",[498,1378,1379,1381],{"dataMmlNode":511},[513,1380],{"dataC":515,"xLinkHref":1307},[513,1382],{"dataC":533,"xLinkHref":1323,"transform":521},[498,1384,1385],{"dataMmlNode":511,"transform":696},[513,1386],{"dataC":515,"xLinkHref":1307},[498,1388,1390],{"dataMmlNode":537,"transform":1389},"translate(11213.9,0)",[513,1391],{"dataC":670,"xLinkHref":1329},[498,1393,1395,1404],{"dataMmlNode":508,"transform":1394},"translate(12269.7,0)",[498,1396,1397,1400],{"dataMmlNode":511},[513,1398],{"dataC":550,"xLinkHref":1399},"#MJX-6-TEX-N-32",[513,1401],{"dataC":1402,"xLinkHref":1403,"transform":521},"39","#MJX-6-TEX-N-39",[498,1405,1406],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,1407,1408,1410],{"dataMmlNode":511},[513,1409],{"dataC":515,"xLinkHref":1307},[513,1411],{"dataC":576,"xLinkHref":1357,"transform":521},[402,1413,1414,1415],{},"Переведём второе число:\n",[445,1416,1418],{"className":1417,"jax":449},[448],[451,1419,1420,1446],{"style":609,"xmlns":454,"width":767,"height":768,"role":457,"focusable":458,"viewBox":769,"xmlnsXLink":460},[462,1421,1422,1425,1428,1431,1434,1437,1440,1443],{},[465,1423],{"id":1424,"d":929},"MJX-7-TEX-N-33",[465,1426],{"id":1427,"d":476},"MJX-7-TEX-N-36",[465,1429],{"id":1430,"d":488},"MJX-7-TEX-N-38",[465,1432],{"id":1433,"d":627},"MJX-7-TEX-N-3D",[465,1435],{"id":1436,"d":631},"MJX-7-TEX-N-2217",[465,1438],{"id":1439,"d":492},"MJX-7-TEX-N-30",[465,1441],{"id":1442,"d":638},"MJX-7-TEX-N-2B",[465,1444],{"id":1445,"d":468},"MJX-7-TEX-N-31",[498,1447,1448],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,1449,1450,1465,1470,1474,1479,1490,1495,1499,1503,1514,1518],{"dataMmlNode":505},[498,1451,1452,1460],{"dataMmlNode":508},[498,1453,1454,1457],{"dataMmlNode":511},[513,1455],{"dataC":1065,"xLinkHref":1456},"#MJX-7-TEX-N-33",[513,1458],{"dataC":533,"xLinkHref":1459,"transform":521},"#MJX-7-TEX-N-36",[498,1461,1462],{"dataMmlNode":511,"transform":525},[513,1463],{"dataC":558,"xLinkHref":1464},"#MJX-7-TEX-N-38",[498,1466,1467],{"dataMmlNode":537,"transform":817},[513,1468],{"dataC":670,"xLinkHref":1469},"#MJX-7-TEX-N-3D",[498,1471,1472],{"dataMmlNode":511,"transform":823},[513,1473],{"dataC":533,"xLinkHref":1459},[498,1475,1476],{"dataMmlNode":537,"transform":828},[513,1477],{"dataC":682,"xLinkHref":1478},"#MJX-7-TEX-N-2217",[498,1480,1481,1485],{"dataMmlNode":686,"transform":834},[498,1482,1483],{"dataMmlNode":511},[513,1484],{"dataC":558,"xLinkHref":1464},[498,1486,1487],{"dataMmlNode":511,"transform":841},[513,1488],{"dataC":576,"xLinkHref":1489},"#MJX-7-TEX-N-30",[498,1491,1492],{"dataMmlNode":537,"transform":847},[513,1493],{"dataC":705,"xLinkHref":1494},"#MJX-7-TEX-N-2B",[498,1496,1497],{"dataMmlNode":511,"transform":853},[513,1498],{"dataC":1065,"xLinkHref":1456},[498,1500,1501],{"dataMmlNode":537,"transform":858},[513,1502],{"dataC":682,"xLinkHref":1478},[498,1504,1505,1509],{"dataMmlNode":686,"transform":863},[498,1506,1507],{"dataMmlNode":511},[513,1508],{"dataC":558,"xLinkHref":1464},[498,1510,1511],{"dataMmlNode":511,"transform":841},[513,1512],{"dataC":515,"xLinkHref":1513},"#MJX-7-TEX-N-31",[498,1515,1516],{"dataMmlNode":537,"transform":875},[513,1517],{"dataC":670,"xLinkHref":1469},[498,1519,1520,1526],{"dataMmlNode":508,"transform":880},[498,1521,1522,1524],{"dataMmlNode":511},[513,1523],{"dataC":1065,"xLinkHref":1456},[513,1525],{"dataC":576,"xLinkHref":1489,"transform":521},[498,1527,1528],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,1529,1530,1532],{"dataMmlNode":511},[513,1531],{"dataC":515,"xLinkHref":1513},[513,1533],{"dataC":576,"xLinkHref":1489,"transform":521},[402,1535,1536,1537],{},"Переведём третье число:\n",[445,1538,1540],{"className":1539,"jax":449},[448],[451,1541,1542,1572],{"style":609,"xmlns":454,"width":903,"height":904,"role":457,"focusable":458,"viewBox":905,"xmlnsXLink":460},[462,1543,1544,1547,1550,1553,1556,1559,1562,1565,1568],{},[465,1545],{"id":1546,"d":468},"MJX-8-TEX-N-31",[465,1548],{"id":1549,"d":492},"MJX-8-TEX-N-30",[465,1551],{"id":1552,"d":484},"MJX-8-TEX-N-32",[465,1554],{"id":1555,"d":627},"MJX-8-TEX-N-3D",[465,1557],{"id":1558,"d":631},"MJX-8-TEX-N-2217",[465,1560],{"id":1561,"d":638},"MJX-8-TEX-N-2B",[465,1563],{"id":1564,"d":929},"MJX-8-TEX-N-33",[465,1566],{"id":1567,"d":472},"MJX-8-TEX-N-34",[465,1569],{"id":1570,"d":1571},"MJX-8-TEX-N-37","M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z",[498,1573,1574],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,1575,1576,1597,1602,1606,1611,1621,1626,1630,1634,1644,1648,1652,1656,1666,1670,1674,1678,1689,1693,1697,1701,1712,1716],{"dataMmlNode":505},[498,1577,1578,1592],{"dataMmlNode":508},[498,1579,1580,1583,1585,1588,1590],{"dataMmlNode":511},[513,1581],{"dataC":515,"xLinkHref":1582},"#MJX-8-TEX-N-31",[513,1584],{"dataC":515,"xLinkHref":1582,"transform":521},[513,1586],{"dataC":576,"xLinkHref":1587,"transform":578},"#MJX-8-TEX-N-30",[513,1589],{"dataC":515,"xLinkHref":1582,"transform":581},[513,1591],{"dataC":515,"xLinkHref":1582,"transform":584},[498,1593,1594],{"dataMmlNode":511,"transform":587},[513,1595],{"dataC":550,"xLinkHref":1596},"#MJX-8-TEX-N-32",[498,1598,1599],{"dataMmlNode":537,"transform":960},[513,1600],{"dataC":670,"xLinkHref":1601},"#MJX-8-TEX-N-3D",[498,1603,1604],{"dataMmlNode":511,"transform":966},[513,1605],{"dataC":515,"xLinkHref":1582},[498,1607,1608],{"dataMmlNode":537,"transform":971},[513,1609],{"dataC":682,"xLinkHref":1610},"#MJX-8-TEX-N-2217",[498,1612,1613,1617],{"dataMmlNode":686,"transform":977},[498,1614,1615],{"dataMmlNode":511},[513,1616],{"dataC":550,"xLinkHref":1596},[498,1618,1619],{"dataMmlNode":511,"transform":841},[513,1620],{"dataC":576,"xLinkHref":1587},[498,1622,1623],{"dataMmlNode":537,"transform":988},[513,1624],{"dataC":705,"xLinkHref":1625},"#MJX-8-TEX-N-2B",[498,1627,1628],{"dataMmlNode":511,"transform":994},[513,1629],{"dataC":515,"xLinkHref":1582},[498,1631,1632],{"dataMmlNode":537,"transform":999},[513,1633],{"dataC":682,"xLinkHref":1610},[498,1635,1636,1640],{"dataMmlNode":686,"transform":1004},[498,1637,1638],{"dataMmlNode":511},[513,1639],{"dataC":550,"xLinkHref":1596},[498,1641,1642],{"dataMmlNode":511,"transform":841},[513,1643],{"dataC":515,"xLinkHref":1582},[498,1645,1646],{"dataMmlNode":537,"transform":1015},[513,1647],{"dataC":705,"xLinkHref":1625},[498,1649,1650],{"dataMmlNode":511,"transform":1020},[513,1651],{"dataC":576,"xLinkHref":1587},[498,1653,1654],{"dataMmlNode":537,"transform":1025},[513,1655],{"dataC":682,"xLinkHref":1610},[498,1657,1658,1662],{"dataMmlNode":686,"transform":1030},[498,1659,1660],{"dataMmlNode":511},[513,1661],{"dataC":550,"xLinkHref":1596},[498,1663,1664],{"dataMmlNode":511,"transform":841},[513,1665],{"dataC":550,"xLinkHref":1596},[498,1667,1668],{"dataMmlNode":537,"transform":1041},[513,1669],{"dataC":705,"xLinkHref":1625},[498,1671,1672],{"dataMmlNode":511,"transform":1046},[513,1673],{"dataC":515,"xLinkHref":1582},[498,1675,1676],{"dataMmlNode":537,"transform":1051},[513,1677],{"dataC":682,"xLinkHref":1610},[498,1679,1680,1684],{"dataMmlNode":686,"transform":1056},[498,1681,1682],{"dataMmlNode":511},[513,1683],{"dataC":550,"xLinkHref":1596},[498,1685,1686],{"dataMmlNode":511,"transform":841},[513,1687],{"dataC":1065,"xLinkHref":1688},"#MJX-8-TEX-N-33",[498,1690,1691],{"dataMmlNode":537,"transform":1069},[513,1692],{"dataC":705,"xLinkHref":1625},[498,1694,1695],{"dataMmlNode":511,"transform":1074},[513,1696],{"dataC":515,"xLinkHref":1582},[498,1698,1699],{"dataMmlNode":537,"transform":1079},[513,1700],{"dataC":682,"xLinkHref":1610},[498,1702,1703,1707],{"dataMmlNode":686,"transform":1084},[498,1704,1705],{"dataMmlNode":511},[513,1706],{"dataC":550,"xLinkHref":1596},[498,1708,1709],{"dataMmlNode":511,"transform":841},[513,1710],{"dataC":519,"xLinkHref":1711},"#MJX-8-TEX-N-34",[498,1713,1714],{"dataMmlNode":537,"transform":1096},[513,1715],{"dataC":670,"xLinkHref":1601},[498,1717,1718,1726],{"dataMmlNode":508,"transform":1101},[498,1719,1720,1722],{"dataMmlNode":511},[513,1721],{"dataC":550,"xLinkHref":1596},[513,1723],{"dataC":1724,"xLinkHref":1725,"transform":521},"37","#MJX-8-TEX-N-37",[498,1727,1728],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,1729,1730,1732],{"dataMmlNode":511},[513,1731],{"dataC":515,"xLinkHref":1582},[513,1733],{"dataC":576,"xLinkHref":1587,"transform":521},[402,1735,1736],{},"Наибольшее число получилось — 30.",[402,1738,1739],{},[406,1740,1741],{},"Ответ: 30",[433,1743,1745],{"id":1744},"задача-3-из-десятичной-в-двоичную","Задача 3 (Из десятичной в двоичную)",[402,1747,1748,1749],{},"Среди приведённых ниже трёх чисел, записанных в десятичной системе счисления, найдите число, в двоичной записи которого наименьшее количество единиц.\nВ ответе запишите количество единиц в двоичной записи этого числа.\n",[445,1750,1752],{"className":1751,"jax":449},[448],[451,1753,1757,1781],{"style":453,"xmlns":454,"width":1754,"height":1755,"role":457,"focusable":458,"viewBox":1756,"xmlnsXLink":460},"14.162ex","1.968ex","0 -676 6259.7 870",[462,1758,1759,1763,1766,1769,1772,1775,1778],{},[465,1760],{"id":1761,"d":1762},"MJX-9-TEX-N-35","M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z",[465,1764],{"id":1765,"d":1298},"MJX-9-TEX-N-39",[465,1767],{"id":1768,"d":468},"MJX-9-TEX-N-31",[465,1770],{"id":1771,"d":492},"MJX-9-TEX-N-30",[465,1773],{"id":1774,"d":480},"MJX-9-TEX-N-2C",[465,1776],{"id":1777,"d":1571},"MJX-9-TEX-N-37",[465,1779],{"id":1780,"d":488},"MJX-9-TEX-N-38",[498,1782,1783],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,1784,1785,1806,1811,1828,1833],{"dataMmlNode":505},[498,1786,1787,1796],{"dataMmlNode":508},[498,1788,1789,1793],{"dataMmlNode":511},[513,1790],{"dataC":1791,"xLinkHref":1792},"35","#MJX-9-TEX-N-35",[513,1794],{"dataC":1402,"xLinkHref":1795,"transform":521},"#MJX-9-TEX-N-39",[498,1797,1798],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,1799,1800,1803],{"dataMmlNode":511},[513,1801],{"dataC":515,"xLinkHref":1802},"#MJX-9-TEX-N-31",[513,1804],{"dataC":576,"xLinkHref":1805,"transform":521},"#MJX-9-TEX-N-30",[498,1807,1808],{"dataMmlNode":537,"transform":538},[513,1809],{"dataC":541,"xLinkHref":1810},"#MJX-9-TEX-N-2C",[498,1812,1813,1820],{"dataMmlNode":508,"transform":545},[498,1814,1815,1818],{"dataMmlNode":511},[513,1816],{"dataC":1724,"xLinkHref":1817},"#MJX-9-TEX-N-37",[513,1819],{"dataC":515,"xLinkHref":1802,"transform":521},[498,1821,1822],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,1823,1824,1826],{"dataMmlNode":511},[513,1825],{"dataC":515,"xLinkHref":1802},[513,1827],{"dataC":576,"xLinkHref":1805,"transform":521},[498,1829,1831],{"dataMmlNode":537,"transform":1830},"translate(4024.9,0)",[513,1832],{"dataC":541,"xLinkHref":1810},[498,1834,1836,1843],{"dataMmlNode":508,"transform":1835},"translate(4469.5,0)",[498,1837,1838,1841],{"dataMmlNode":511},[513,1839],{"dataC":558,"xLinkHref":1840},"#MJX-9-TEX-N-38",[513,1842],{"dataC":515,"xLinkHref":1802,"transform":521},[498,1844,1845],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,1846,1847,1849],{"dataMmlNode":511},[513,1848],{"dataC":515,"xLinkHref":1802},[513,1850],{"dataC":576,"xLinkHref":1805,"transform":521},[441,1852,600],{"id":1853},"решение-2",[402,1855,1856],{},"Нужно каждое число перевести в двоичную систему счисления.",[402,1858,1859],{},"Переведём число 59 в двоичную систему:",[402,1861,1862],{},[457,1863],{"alt":1864,"src":1865},"Задача 3 Решение","\u002Fimages\u002Fblog\u002Foge\u002Ftask10\u002Fimg1.png",[402,1867,1868],{},"Получается 59 = 111011. Здесь мы делим уголком на 2 (на основание системы, куда переводим) с остатком.\nПродолжаем делить, пока не получим 1. Затем остатки записываем задом наперёд. Получается число в двоичной системе счисления.\nПоследнее число 1 (единицу) тоже берём.",[402,1870,1871],{},"Переведём число 71 в двоичную систему:",[402,1873,1874],{},[457,1875],{"alt":1864,"src":1876},"\u002Fimages\u002Fblog\u002Foge\u002Ftask10\u002Fimg2.png",[402,1878,1879],{},"Получается 71 = 1000111.",[402,1881,1882],{},"Переведём число 81 в двоичную систему:",[402,1884,1885],{},[457,1886],{"alt":1864,"src":1887},"\u002Fimages\u002Fblog\u002Foge\u002Ftask10\u002Fimg3.png",[402,1889,1890],{},"Получается 81 = 1010001.",[402,1892,1893],{},"Найдём количество единиц для каждого числа, записанного в двоичной системе:",[402,1895,1896],{},"111011, Кол. ед.: 5;",[402,1898,1899],{},"1000111, Кол ед.: 4;",[402,1901,1902],{},"1010001, Кол ед.: 3;",[402,1904,1905],{},[406,1906,1907],{},"Ответ: 3",[433,1909,1911],{"id":1910},"задача-4-из-десятичной-в-восьмеричную","Задача 4 (Из десятичной в восьмеричную)",[402,1913,1914,1915],{},"Среди приведённых ниже трёх чисел, записанных в десятичной системе счисления, найдите число, сумма цифр которого в восьмеричной записи наименьшая.\nВ ответе запишите сумму цифр в восьмеричной записи этого числа.\n",[445,1916,1918],{"className":1917,"jax":449},[448],[451,1919,1923,1946],{"style":453,"xmlns":454,"width":1920,"height":1921,"role":457,"focusable":458,"viewBox":1922,"xmlnsXLink":460},"15.293ex","1.946ex","0 -666 6759.7 860",[462,1924,1925,1928,1931,1934,1937,1940,1943],{},[465,1926],{"id":1927,"d":488},"MJX-10-TEX-N-38",[465,1929],{"id":1930,"d":476},"MJX-10-TEX-N-36",[465,1932],{"id":1933,"d":468},"MJX-10-TEX-N-31",[465,1935],{"id":1936,"d":492},"MJX-10-TEX-N-30",[465,1938],{"id":1939,"d":480},"MJX-10-TEX-N-2C",[465,1941],{"id":1942,"d":1298},"MJX-10-TEX-N-39",[465,1944],{"id":1945,"d":1762},"MJX-10-TEX-N-35",[498,1947,1948],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,1949,1950,1970,1975,1992,1996],{"dataMmlNode":505},[498,1951,1952,1960],{"dataMmlNode":508},[498,1953,1954,1957],{"dataMmlNode":511},[513,1955],{"dataC":558,"xLinkHref":1956},"#MJX-10-TEX-N-38",[513,1958],{"dataC":533,"xLinkHref":1959,"transform":521},"#MJX-10-TEX-N-36",[498,1961,1962],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,1963,1964,1967],{"dataMmlNode":511},[513,1965],{"dataC":515,"xLinkHref":1966},"#MJX-10-TEX-N-31",[513,1968],{"dataC":576,"xLinkHref":1969,"transform":521},"#MJX-10-TEX-N-30",[498,1971,1972],{"dataMmlNode":537,"transform":538},[513,1973],{"dataC":541,"xLinkHref":1974},"#MJX-10-TEX-N-2C",[498,1976,1977,1984],{"dataMmlNode":508,"transform":545},[498,1978,1979,1982],{"dataMmlNode":511},[513,1980],{"dataC":1402,"xLinkHref":1981},"#MJX-10-TEX-N-39",[513,1983],{"dataC":1402,"xLinkHref":1981,"transform":521},[498,1985,1986],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,1987,1988,1990],{"dataMmlNode":511},[513,1989],{"dataC":515,"xLinkHref":1966},[513,1991],{"dataC":576,"xLinkHref":1969,"transform":521},[498,1993,1994],{"dataMmlNode":537,"transform":1830},[513,1995],{"dataC":541,"xLinkHref":1974},[498,1997,1998,2007],{"dataMmlNode":508,"transform":1835},[498,1999,2000,2002,2004],{"dataMmlNode":511},[513,2001],{"dataC":515,"xLinkHref":1966},[513,2003],{"dataC":576,"xLinkHref":1969,"transform":521},[513,2005],{"dataC":1791,"xLinkHref":2006,"transform":578},"#MJX-10-TEX-N-35",[498,2008,2010],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},"translate(1533,-150) scale(0.707)",[498,2011,2012,2014],{"dataMmlNode":511},[513,2013],{"dataC":515,"xLinkHref":1966},[513,2015],{"dataC":576,"xLinkHref":1969,"transform":521},[441,2017,600],{"id":2018},"решение-3",[402,2020,2021,2022,2026],{},"Переведём число 86 в восьмеричную систему:\n",[457,2023],{"alt":2024,"src":2025},"Задача 4 Решение","\u002Fimages\u002Fblog\u002Foge\u002Ftask10\u002Fimg4.png","\nДелаем аналогично тому, как мы переводили в двоичную систему, только теперь уголком делим на 8.\nОстатки могут получиться от 0 до 7.",[402,2028,2029],{},"Как только в результате деления получили число меньшее, чем 8, то завершаем процесс перевода.",[402,2031,2032],{},"Остатки опять записываем задом наперёд. Последнее число тоже участвует в формировании результата наравне с остатками.",[402,2034,2035,2036],{},"Получается: ",[445,2037,2039],{"className":2038,"jax":449},[448],[451,2040,2044,2067],{"style":609,"xmlns":454,"width":2041,"height":2042,"role":457,"focusable":458,"viewBox":2043,"xmlnsXLink":460},"12.077ex","1.881ex","0 -666 5338.2 831.6",[462,2045,2046,2049,2052,2055,2058,2061,2064],{},[465,2047],{"id":2048,"d":488},"MJX-11-TEX-N-38",[465,2050],{"id":2051,"d":476},"MJX-11-TEX-N-36",[465,2053],{"id":2054,"d":468},"MJX-11-TEX-N-31",[465,2056],{"id":2057,"d":492},"MJX-11-TEX-N-30",[465,2059],{"id":2060,"d":627},"MJX-11-TEX-N-3D",[465,2062],{"id":2063,"d":484},"MJX-11-TEX-N-32",[465,2065],{"id":2066,"d":496},"MJX-11-TEX-N-2E",[498,2068,2069],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,2070,2071,2091,2096,2111],{"dataMmlNode":505},[498,2072,2073,2081],{"dataMmlNode":508},[498,2074,2075,2078],{"dataMmlNode":511},[513,2076],{"dataC":558,"xLinkHref":2077},"#MJX-11-TEX-N-38",[513,2079],{"dataC":533,"xLinkHref":2080,"transform":521},"#MJX-11-TEX-N-36",[498,2082,2083],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,2084,2085,2088],{"dataMmlNode":511},[513,2086],{"dataC":515,"xLinkHref":2087},"#MJX-11-TEX-N-31",[513,2089],{"dataC":576,"xLinkHref":2090,"transform":521},"#MJX-11-TEX-N-30",[498,2092,2093],{"dataMmlNode":537,"transform":667},[513,2094],{"dataC":670,"xLinkHref":2095},"#MJX-11-TEX-N-3D",[498,2097,2098,2107],{"dataMmlNode":508,"transform":674},[498,2099,2100,2102,2105],{"dataMmlNode":511},[513,2101],{"dataC":515,"xLinkHref":2087},[513,2103],{"dataC":550,"xLinkHref":2104,"transform":521},"#MJX-11-TEX-N-32",[513,2106],{"dataC":533,"xLinkHref":2080,"transform":578},[498,2108,2109],{"dataMmlNode":511,"transform":2009},[513,2110],{"dataC":558,"xLinkHref":2077},[498,2112,2114],{"dataMmlNode":537,"transform":2113},"translate(5060.2,0)",[513,2115],{"dataC":595,"xLinkHref":2116},"#MJX-11-TEX-N-2E",[402,2118,2119,2120,2123],{},"Переведём число 99 в восьмеричную систему:\n",[457,2121],{"alt":2024,"src":2122},"\u002Fimages\u002Fblog\u002Foge\u002Ftask10\u002Fimg5.png","\nПолучается 143 в восьмеричной.",[402,2125,2126,2127,2130],{},"Переведём число 105 в восьмеричную систему:\n",[457,2128],{"alt":2024,"src":2129},"\u002Fimages\u002Fblog\u002Foge\u002Ftask10\u002Fimg6.png","\nПолучается 151 в восьмеричной.",[402,2132,2133],{},"Найдём сумму цифр у полученных чисел в восьмеричной системе:",[402,2135,2136],{},"126, Сумма цифр: 9;",[402,2138,2139],{},"143, Сумма цифр: 8;",[402,2141,2142],{},"151, Сумма цифр: 7;",[402,2144,2145],{},"Наименьшая сумма цифр равна 7.",[402,2147,2148],{},[406,2149,2150],{},"Ответ: 7",[433,2152,2154],{"id":2153},"задача-5-неожиданная","Задача 5 (Неожиданная)",[402,2156,2157],{},"Число 3322 записано в системе счисления с основанием n (n > 1). Определите наименьшее возможное значение n.\nДля этого значения n в ответе запишите представление данного числа в десятичной системе счисления.\nОснование системы счисления указывать не нужно.",[433,2159,600],{"id":2160},"решение-4",[402,2162,2163],{},"Наименьшее значение n в этой задаче может быть равно 4, потому что самая большая цифра - это тройка.\nМы берём на 1 больше, т.к. в четверичной системе могут применяться только цифры: 0, 1, 2, 3.\nТоже самое, как в нашей родной десятичной системе могут применяться 10 цифр: от нуля, до девяти.\nСамая большая цифра в нашей родной десятичной системе девятка.",[402,2165,2166,2167],{},"Осталось перевести данное число из четверичной системы в десятичную.\n",[445,2168,2170],{"className":2169,"jax":449},[448],[451,2171,2174,2203],{"style":609,"xmlns":454,"width":2172,"height":768,"role":457,"focusable":458,"viewBox":2173,"xmlnsXLink":460},"46.573ex","0 -833.9 20585.1 999.5",[462,2175,2176,2179,2182,2185,2188,2191,2194,2197,2200],{},[465,2177],{"id":2178,"d":929},"MJX-12-TEX-N-33",[465,2180],{"id":2181,"d":484},"MJX-12-TEX-N-32",[465,2183],{"id":2184,"d":472},"MJX-12-TEX-N-34",[465,2186],{"id":2187,"d":627},"MJX-12-TEX-N-3D",[465,2189],{"id":2190,"d":631},"MJX-12-TEX-N-2217",[465,2192],{"id":2193,"d":492},"MJX-12-TEX-N-30",[465,2195],{"id":2196,"d":638},"MJX-12-TEX-N-2B",[465,2198],{"id":2199,"d":468},"MJX-12-TEX-N-31",[465,2201],{"id":2202,"d":1762},"MJX-12-TEX-N-35",[498,2204,2205],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,2206,2207,2227,2233,2238,2244,2256,2262,2267,2272,2284,2289,2294,2299,2310,2315,2320,2325,2336,2341],{"dataMmlNode":505},[498,2208,2209,2221],{"dataMmlNode":508},[498,2210,2211,2214,2216,2219],{"dataMmlNode":511},[513,2212],{"dataC":1065,"xLinkHref":2213},"#MJX-12-TEX-N-33",[513,2215],{"dataC":1065,"xLinkHref":2213,"transform":521},[513,2217],{"dataC":550,"xLinkHref":2218,"transform":578},"#MJX-12-TEX-N-32",[513,2220],{"dataC":550,"xLinkHref":2218,"transform":581},[498,2222,2224],{"dataMmlNode":511,"transform":2223},"translate(2033,-150) scale(0.707)",[513,2225],{"dataC":519,"xLinkHref":2226},"#MJX-12-TEX-N-34",[498,2228,2230],{"dataMmlNode":537,"transform":2229},"translate(2714.3,0)",[513,2231],{"dataC":670,"xLinkHref":2232},"#MJX-12-TEX-N-3D",[498,2234,2236],{"dataMmlNode":511,"transform":2235},"translate(3770.1,0)",[513,2237],{"dataC":550,"xLinkHref":2218},[498,2239,2241],{"dataMmlNode":537,"transform":2240},"translate(4492.3,0)",[513,2242],{"dataC":682,"xLinkHref":2243},"#MJX-12-TEX-N-2217",[498,2245,2247,2251],{"dataMmlNode":686,"transform":2246},"translate(5214.6,0)",[498,2248,2249],{"dataMmlNode":511},[513,2250],{"dataC":519,"xLinkHref":2226},[498,2252,2253],{"dataMmlNode":511,"transform":841},[513,2254],{"dataC":576,"xLinkHref":2255},"#MJX-12-TEX-N-30",[498,2257,2259],{"dataMmlNode":537,"transform":2258},"translate(6373.3,0)",[513,2260],{"dataC":705,"xLinkHref":2261},"#MJX-12-TEX-N-2B",[498,2263,2265],{"dataMmlNode":511,"transform":2264},"translate(7373.6,0)",[513,2266],{"dataC":550,"xLinkHref":2218},[498,2268,2270],{"dataMmlNode":537,"transform":2269},"translate(8095.8,0)",[513,2271],{"dataC":682,"xLinkHref":2243},[498,2273,2275,2279],{"dataMmlNode":686,"transform":2274},"translate(8818,0)",[498,2276,2277],{"dataMmlNode":511},[513,2278],{"dataC":519,"xLinkHref":2226},[498,2280,2281],{"dataMmlNode":511,"transform":841},[513,2282],{"dataC":515,"xLinkHref":2283},"#MJX-12-TEX-N-31",[498,2285,2287],{"dataMmlNode":537,"transform":2286},"translate(9976.8,0)",[513,2288],{"dataC":705,"xLinkHref":2261},[498,2290,2292],{"dataMmlNode":511,"transform":2291},"translate(10977,0)",[513,2293],{"dataC":1065,"xLinkHref":2213},[498,2295,2297],{"dataMmlNode":537,"transform":2296},"translate(11699.2,0)",[513,2298],{"dataC":682,"xLinkHref":2243},[498,2300,2302,2306],{"dataMmlNode":686,"transform":2301},"translate(12421.4,0)",[498,2303,2304],{"dataMmlNode":511},[513,2305],{"dataC":519,"xLinkHref":2226},[498,2307,2308],{"dataMmlNode":511,"transform":841},[513,2309],{"dataC":550,"xLinkHref":2218},[498,2311,2313],{"dataMmlNode":537,"transform":2312},"translate(13580.2,0)",[513,2314],{"dataC":705,"xLinkHref":2261},[498,2316,2318],{"dataMmlNode":511,"transform":2317},"translate(14580.4,0)",[513,2319],{"dataC":1065,"xLinkHref":2213},[498,2321,2323],{"dataMmlNode":537,"transform":2322},"translate(15302.7,0)",[513,2324],{"dataC":682,"xLinkHref":2243},[498,2326,2328,2332],{"dataMmlNode":686,"transform":2327},"translate(16024.9,0)",[498,2329,2330],{"dataMmlNode":511},[513,2331],{"dataC":519,"xLinkHref":2226},[498,2333,2334],{"dataMmlNode":511,"transform":841},[513,2335],{"dataC":1065,"xLinkHref":2213},[498,2337,2339],{"dataMmlNode":537,"transform":2338},"translate(17239.2,0)",[513,2340],{"dataC":670,"xLinkHref":2232},[498,2342,2344,2353],{"dataMmlNode":508,"transform":2343},"translate(18295,0)",[498,2345,2346,2348,2351],{"dataMmlNode":511},[513,2347],{"dataC":550,"xLinkHref":2218},[513,2349],{"dataC":1791,"xLinkHref":2350,"transform":521},"#MJX-12-TEX-N-35",[513,2352],{"dataC":576,"xLinkHref":2255,"transform":578},[498,2354,2355],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},[498,2356,2357,2359],{"dataMmlNode":511},[513,2358],{"dataC":515,"xLinkHref":2283},[513,2360],{"dataC":576,"xLinkHref":2255,"transform":521},[402,2362,2363],{},[406,2364,2365],{},"Ответ: 250",[433,2367,2369],{"id":2368},"задача-6-уже-знаем","Задача 6 (Уже знаем)",[402,2371,2372],{},"Число 2023n записано в системе счисления с основанием n (n > 1).\nОпределите значение n, при котором данное число минимально.\nДля этого значения n в ответе запишите представление данного числа в десятичной системе счисления.\nОснование системы счисления указывать не нужно.",[441,2374,600],{"id":2375},"решение-5",[402,2377,2378],{},"Здесь нужно, чтобы само число 2023n было минимальным. Но это число будет минимальным, если мы выберем самое маленькое значение n при данных цифрах.",[402,2380,2381],{},"Самое маленькое основание системы может вновь 4. Переведём наше число 20234 из четверичной системы в десятичную.",[402,2383,2384],{},[445,2385,2387],{"className":2386,"jax":449},[448],[451,2388,2389,2418],{"style":609,"xmlns":454,"width":2172,"height":768,"role":457,"focusable":458,"viewBox":2173,"xmlnsXLink":460},[462,2390,2391,2394,2397,2400,2403,2406,2409,2412,2415],{},[465,2392],{"id":2393,"d":484},"MJX-13-TEX-N-32",[465,2395],{"id":2396,"d":492},"MJX-13-TEX-N-30",[465,2398],{"id":2399,"d":929},"MJX-13-TEX-N-33",[465,2401],{"id":2402,"d":472},"MJX-13-TEX-N-34",[465,2404],{"id":2405,"d":627},"MJX-13-TEX-N-3D",[465,2407],{"id":2408,"d":631},"MJX-13-TEX-N-2217",[465,2410],{"id":2411,"d":638},"MJX-13-TEX-N-2B",[465,2413],{"id":2414,"d":468},"MJX-13-TEX-N-31",[465,2416],{"id":2417,"d":1298},"MJX-13-TEX-N-39",[498,2419,2420],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,2421,2422,2442,2447,2451,2456,2466,2471,2475,2479,2490,2494,2498,2502,2512,2516,2520,2524,2534,2538],{"dataMmlNode":505},[498,2423,2424,2437],{"dataMmlNode":508},[498,2425,2426,2429,2432,2434],{"dataMmlNode":511},[513,2427],{"dataC":550,"xLinkHref":2428},"#MJX-13-TEX-N-32",[513,2430],{"dataC":576,"xLinkHref":2431,"transform":521},"#MJX-13-TEX-N-30",[513,2433],{"dataC":550,"xLinkHref":2428,"transform":578},[513,2435],{"dataC":1065,"xLinkHref":2436,"transform":581},"#MJX-13-TEX-N-33",[498,2438,2439],{"dataMmlNode":511,"transform":2223},[513,2440],{"dataC":519,"xLinkHref":2441},"#MJX-13-TEX-N-34",[498,2443,2444],{"dataMmlNode":537,"transform":2229},[513,2445],{"dataC":670,"xLinkHref":2446},"#MJX-13-TEX-N-3D",[498,2448,2449],{"dataMmlNode":511,"transform":2235},[513,2450],{"dataC":1065,"xLinkHref":2436},[498,2452,2453],{"dataMmlNode":537,"transform":2240},[513,2454],{"dataC":682,"xLinkHref":2455},"#MJX-13-TEX-N-2217",[498,2457,2458,2462],{"dataMmlNode":686,"transform":2246},[498,2459,2460],{"dataMmlNode":511},[513,2461],{"dataC":519,"xLinkHref":2441},[498,2463,2464],{"dataMmlNode":511,"transform":841},[513,2465],{"dataC":576,"xLinkHref":2431},[498,2467,2468],{"dataMmlNode":537,"transform":2258},[513,2469],{"dataC":705,"xLinkHref":2470},"#MJX-13-TEX-N-2B",[498,2472,2473],{"dataMmlNode":511,"transform":2264},[513,2474],{"dataC":550,"xLinkHref":2428},[498,2476,2477],{"dataMmlNode":537,"transform":2269},[513,2478],{"dataC":682,"xLinkHref":2455},[498,2480,2481,2485],{"dataMmlNode":686,"transform":2274},[498,2482,2483],{"dataMmlNode":511},[513,2484],{"dataC":519,"xLinkHref":2441},[498,2486,2487],{"dataMmlNode":511,"transform":841},[513,2488],{"dataC":515,"xLinkHref":2489},"#MJX-13-TEX-N-31",[498,2491,2492],{"dataMmlNode":537,"transform":2286},[513,2493],{"dataC":705,"xLinkHref":2470},[498,2495,2496],{"dataMmlNode":511,"transform":2291},[513,2497],{"dataC":576,"xLinkHref":2431},[498,2499,2500],{"dataMmlNode":537,"transform":2296},[513,2501],{"dataC":682,"xLinkHref":2455},[498,2503,2504,2508],{"dataMmlNode":686,"transform":2301},[498,2505,2506],{"dataMmlNode":511},[513,2507],{"dataC":519,"xLinkHref":2441},[498,2509,2510],{"dataMmlNode":511,"transform":841},[513,2511],{"dataC":550,"xLinkHref":2428},[498,2513,2514],{"dataMmlNode":537,"transform":2312},[513,2515],{"dataC":705,"xLinkHref":2470},[498,2517,2518],{"dataMmlNode":511,"transform":2317},[513,2519],{"dataC":550,"xLinkHref":2428},[498,2521,2522],{"dataMmlNode":537,"transform":2322},[513,2523],{"dataC":682,"xLinkHref":2455},[498,2525,2526,2530],{"dataMmlNode":686,"transform":2327},[498,2527,2528],{"dataMmlNode":511},[513,2529],{"dataC":519,"xLinkHref":2441},[498,2531,2532],{"dataMmlNode":511,"transform":841},[513,2533],{"dataC":1065,"xLinkHref":2436},[498,2535,2536],{"dataMmlNode":537,"transform":2338},[513,2537],{"dataC":670,"xLinkHref":2446},[498,2539,2540,2549],{"dataMmlNode":508,"transform":2343},[498,2541,2542,2544,2546],{"dataMmlNode":511},[513,2543],{"dataC":515,"xLinkHref":2489},[513,2545],{"dataC":1065,"xLinkHref":2436,"transform":521},[513,2547],{"dataC":1402,"xLinkHref":2548,"transform":578},"#MJX-13-TEX-N-39",[498,2550,2551],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},[498,2552,2553,2555],{"dataMmlNode":511},[513,2554],{"dataC":515,"xLinkHref":2489},[513,2556],{"dataC":576,"xLinkHref":2431,"transform":521},[402,2558,2559],{},"Получается число 139.",[402,2561,2562],{},[406,2563,2564],{},"Ответ: 139",[433,2566,2568],{"id":2567},"задача-7-крепкий-орешек","Задача 7 (Крепкий орешек)",[402,2570,2571],{},"Число 121n записано в системе счисления с основанием n (n > 1).\nОпределите наибольшее возможное значение n, для которого 121n \u003C 108(в десятичной).\nДля этого значения n в ответе запишите представления данного числа в десятичной системе счисления.\nОснование системы счисления указывать не нужно.",[441,2573,600],{"id":2574},"решение-6",[402,2576,2577,2578],{},"Мы не знаем в какой системе счисления записано число. Но всё равно начнём переводить его в десятичную систему, оставив переменную n в виде неизвестной.\n",[445,2579,2581],{"className":2580,"jax":449},[448],[451,2582,2585,2616],{"style":609,"xmlns":454,"width":2583,"height":768,"role":457,"focusable":458,"viewBox":2584,"xmlnsXLink":460},"38.128ex","0 -833.9 16852.4 999.5",[462,2586,2587,2590,2593,2597,2600,2603,2606,2609,2613],{},[465,2588],{"id":2589,"d":468},"MJX-14-TEX-N-31",[465,2591],{"id":2592,"d":484},"MJX-14-TEX-N-32",[465,2594],{"id":2595,"d":2596},"MJX-14-TEX-I-1D45B","M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",[465,2598],{"id":2599,"d":627},"MJX-14-TEX-N-3D",[465,2601],{"id":2602,"d":631},"MJX-14-TEX-N-2217",[465,2604],{"id":2605,"d":492},"MJX-14-TEX-N-30",[465,2607],{"id":2608,"d":638},"MJX-14-TEX-N-2B",[465,2610],{"id":2611,"d":2612},"MJX-14-TEX-N-3C","M694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19Z",[465,2614],{"id":2615,"d":488},"MJX-14-TEX-N-38",[498,2617,2618],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,2619,2620,2638,2644,2649,2655,2668,2674,2679,2684,2695,2700,2705,2710,2721,2728],{"dataMmlNode":505},[498,2621,2622,2632],{"dataMmlNode":508},[498,2623,2624,2627,2630],{"dataMmlNode":511},[513,2625],{"dataC":515,"xLinkHref":2626},"#MJX-14-TEX-N-31",[513,2628],{"dataC":550,"xLinkHref":2629,"transform":521},"#MJX-14-TEX-N-32",[513,2631],{"dataC":515,"xLinkHref":2626,"transform":578},[498,2633,2634],{"dataMmlNode":1182,"transform":2009},[513,2635],{"dataC":2636,"xLinkHref":2637},"1D45B","#MJX-14-TEX-I-1D45B",[498,2639,2641],{"dataMmlNode":537,"transform":2640},"translate(2285,0)",[513,2642],{"dataC":670,"xLinkHref":2643},"#MJX-14-TEX-N-3D",[498,2645,2647],{"dataMmlNode":511,"transform":2646},"translate(3340.8,0)",[513,2648],{"dataC":515,"xLinkHref":2626},[498,2650,2652],{"dataMmlNode":537,"transform":2651},"translate(4063,0)",[513,2653],{"dataC":682,"xLinkHref":2654},"#MJX-14-TEX-N-2217",[498,2656,2658,2662],{"dataMmlNode":686,"transform":2657},"translate(4785.3,0)",[498,2659,2660],{"dataMmlNode":1182},[513,2661],{"dataC":2636,"xLinkHref":2637},[498,2663,2665],{"dataMmlNode":511,"transform":2664},"translate(633,363) scale(0.707)",[513,2666],{"dataC":576,"xLinkHref":2667},"#MJX-14-TEX-N-30",[498,2669,2671],{"dataMmlNode":537,"transform":2670},"translate(6044,0)",[513,2672],{"dataC":705,"xLinkHref":2673},"#MJX-14-TEX-N-2B",[498,2675,2677],{"dataMmlNode":511,"transform":2676},"translate(7044.3,0)",[513,2678],{"dataC":550,"xLinkHref":2629},[498,2680,2682],{"dataMmlNode":537,"transform":2681},"translate(7766.5,0)",[513,2683],{"dataC":682,"xLinkHref":2654},[498,2685,2687,2691],{"dataMmlNode":686,"transform":2686},"translate(8488.7,0)",[498,2688,2689],{"dataMmlNode":1182},[513,2690],{"dataC":2636,"xLinkHref":2637},[498,2692,2693],{"dataMmlNode":511,"transform":2664},[513,2694],{"dataC":515,"xLinkHref":2626},[498,2696,2698],{"dataMmlNode":537,"transform":2697},"translate(9747.5,0)",[513,2699],{"dataC":705,"xLinkHref":2673},[498,2701,2703],{"dataMmlNode":511,"transform":2702},"translate(10747.7,0)",[513,2704],{"dataC":515,"xLinkHref":2626},[498,2706,2708],{"dataMmlNode":537,"transform":2707},"translate(11469.9,0)",[513,2709],{"dataC":682,"xLinkHref":2654},[498,2711,2713,2717],{"dataMmlNode":686,"transform":2712},"translate(12192.1,0)",[498,2714,2715],{"dataMmlNode":1182},[513,2716],{"dataC":2636,"xLinkHref":2637},[498,2718,2719],{"dataMmlNode":511,"transform":2664},[513,2720],{"dataC":550,"xLinkHref":2629},[498,2722,2724],{"dataMmlNode":537,"transform":2723},"translate(13506.5,0)",[513,2725],{"dataC":2726,"xLinkHref":2727},"3C","#MJX-14-TEX-N-3C",[498,2729,2731,2740],{"dataMmlNode":508,"transform":2730},"translate(14562.3,0)",[498,2732,2733,2735,2737],{"dataMmlNode":511},[513,2734],{"dataC":515,"xLinkHref":2626},[513,2736],{"dataC":576,"xLinkHref":2667,"transform":521},[513,2738],{"dataC":558,"xLinkHref":2739,"transform":578},"#MJX-14-TEX-N-38",[498,2741,2742],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},[498,2743,2744,2746],{"dataMmlNode":511},[513,2745],{"dataC":515,"xLinkHref":2626},[513,2747],{"dataC":576,"xLinkHref":2667,"transform":521},[402,2749,2750,2751],{},"Попробуем подобрать n.\nПри n = 10:\n",[445,2752,2754],{"className":2753,"jax":449},[448],[451,2755,2758,2785],{"style":609,"xmlns":454,"width":2756,"height":611,"role":457,"focusable":458,"viewBox":2757,"xmlnsXLink":460},"41.482ex","0 -864 18335.2 1029.5",[462,2759,2760,2763,2766,2769,2772,2775,2778,2782],{},[465,2761],{"id":2762,"d":468},"MJX-15-TEX-N-31",[465,2764],{"id":2765,"d":631},"MJX-15-TEX-N-2217",[465,2767],{"id":2768,"d":492},"MJX-15-TEX-N-30",[465,2770],{"id":2771,"d":638},"MJX-15-TEX-N-2B",[465,2773],{"id":2774,"d":484},"MJX-15-TEX-N-32",[465,2776],{"id":2777,"d":627},"MJX-15-TEX-N-3D",[465,2779],{"id":2780,"d":2781},"MJX-15-TEX-N-3E","M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z",[465,2783],{"id":2784,"d":488},"MJX-15-TEX-N-38",[498,2786,2787],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,2788,2789,2794,2800,2814,2820,2826,2831,2844,2849,2854,2859,2872,2878,2896,2903],{"dataMmlNode":505},[498,2790,2791],{"dataMmlNode":511},[513,2792],{"dataC":515,"xLinkHref":2793},"#MJX-15-TEX-N-31",[498,2795,2797],{"dataMmlNode":537,"transform":2796},"translate(722.2,0)",[513,2798],{"dataC":682,"xLinkHref":2799},"#MJX-15-TEX-N-2217",[498,2801,2803,2810],{"dataMmlNode":686,"transform":2802},"translate(1444.4,0)",[498,2804,2805,2807],{"dataMmlNode":511},[513,2806],{"dataC":515,"xLinkHref":2793},[513,2808],{"dataC":576,"xLinkHref":2809,"transform":521},"#MJX-15-TEX-N-30",[498,2811,2812],{"dataMmlNode":511,"transform":696},[513,2813],{"dataC":576,"xLinkHref":2809},[498,2815,2817],{"dataMmlNode":537,"transform":2816},"translate(3103.2,0)",[513,2818],{"dataC":705,"xLinkHref":2819},"#MJX-15-TEX-N-2B",[498,2821,2823],{"dataMmlNode":511,"transform":2822},"translate(4103.4,0)",[513,2824],{"dataC":550,"xLinkHref":2825},"#MJX-15-TEX-N-32",[498,2827,2829],{"dataMmlNode":537,"transform":2828},"translate(4825.7,0)",[513,2830],{"dataC":682,"xLinkHref":2799},[498,2832,2834,2840],{"dataMmlNode":686,"transform":2833},"translate(5547.9,0)",[498,2835,2836,2838],{"dataMmlNode":511},[513,2837],{"dataC":515,"xLinkHref":2793},[513,2839],{"dataC":576,"xLinkHref":2809,"transform":521},[498,2841,2842],{"dataMmlNode":511,"transform":696},[513,2843],{"dataC":515,"xLinkHref":2793},[498,2845,2847],{"dataMmlNode":537,"transform":2846},"translate(7206.7,0)",[513,2848],{"dataC":705,"xLinkHref":2819},[498,2850,2852],{"dataMmlNode":511,"transform":2851},"translate(8206.9,0)",[513,2853],{"dataC":515,"xLinkHref":2793},[498,2855,2857],{"dataMmlNode":537,"transform":2856},"translate(8929.1,0)",[513,2858],{"dataC":682,"xLinkHref":2799},[498,2860,2862,2868],{"dataMmlNode":686,"transform":2861},"translate(9651.3,0)",[498,2863,2864,2866],{"dataMmlNode":511},[513,2865],{"dataC":515,"xLinkHref":2793},[513,2867],{"dataC":576,"xLinkHref":2809,"transform":521},[498,2869,2870],{"dataMmlNode":511,"transform":696},[513,2871],{"dataC":550,"xLinkHref":2825},[498,2873,2875],{"dataMmlNode":537,"transform":2874},"translate(11365.7,0)",[513,2876],{"dataC":670,"xLinkHref":2877},"#MJX-15-TEX-N-3D",[498,2879,2880,2888],{"dataMmlNode":508,"transform":2301},[498,2881,2882,2884,2886],{"dataMmlNode":511},[513,2883],{"dataC":515,"xLinkHref":2793},[513,2885],{"dataC":550,"xLinkHref":2825,"transform":521},[513,2887],{"dataC":515,"xLinkHref":2793,"transform":578},[498,2889,2890],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},[498,2891,2892,2894],{"dataMmlNode":511},[513,2893],{"dataC":515,"xLinkHref":2793},[513,2895],{"dataC":576,"xLinkHref":2809,"transform":521},[498,2897,2899],{"dataMmlNode":537,"transform":2898},"translate(14989.3,0)",[513,2900],{"dataC":2901,"xLinkHref":2902},"3E","#MJX-15-TEX-N-3E",[498,2904,2906,2915],{"dataMmlNode":508,"transform":2905},"translate(16045.1,0)",[498,2907,2908,2910,2912],{"dataMmlNode":511},[513,2909],{"dataC":515,"xLinkHref":2793},[513,2911],{"dataC":576,"xLinkHref":2809,"transform":521},[513,2913],{"dataC":558,"xLinkHref":2914,"transform":578},"#MJX-15-TEX-N-38",[498,2916,2917],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},[498,2918,2919,2921],{"dataMmlNode":511},[513,2920],{"dataC":515,"xLinkHref":2793},[513,2922],{"dataC":576,"xLinkHref":2809,"transform":521},[402,2924,2925,2926],{},"Перебор. Ну это и так было понятно. Значит, нужно уменьшать n. Возьмём n = 9:\n",[445,2927,2929],{"className":2928,"jax":449},[448],[451,2930,2933,2962],{"style":609,"xmlns":454,"width":2931,"height":768,"role":457,"focusable":458,"viewBox":2932,"xmlnsXLink":460},"38.089ex","0 -833.9 16835.2 999.5",[462,2934,2935,2938,2941,2944,2947,2950,2953,2956,2959],{},[465,2936],{"id":2937,"d":468},"MJX-16-TEX-N-31",[465,2939],{"id":2940,"d":631},"MJX-16-TEX-N-2217",[465,2942],{"id":2943,"d":1298},"MJX-16-TEX-N-39",[465,2945],{"id":2946,"d":492},"MJX-16-TEX-N-30",[465,2948],{"id":2949,"d":638},"MJX-16-TEX-N-2B",[465,2951],{"id":2952,"d":484},"MJX-16-TEX-N-32",[465,2954],{"id":2955,"d":627},"MJX-16-TEX-N-3D",[465,2957],{"id":2958,"d":2612},"MJX-16-TEX-N-3C",[465,2960],{"id":2961,"d":488},"MJX-16-TEX-N-38",[498,2963,2964],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,2965,2966,2971,2976,2988,2994,3000,3005,3016,3021,3026,3031,3042,3048,3067,3073],{"dataMmlNode":505},[498,2967,2968],{"dataMmlNode":511},[513,2969],{"dataC":515,"xLinkHref":2970},"#MJX-16-TEX-N-31",[498,2972,2973],{"dataMmlNode":537,"transform":2796},[513,2974],{"dataC":682,"xLinkHref":2975},"#MJX-16-TEX-N-2217",[498,2977,2978,2983],{"dataMmlNode":686,"transform":2802},[498,2979,2980],{"dataMmlNode":511},[513,2981],{"dataC":1402,"xLinkHref":2982},"#MJX-16-TEX-N-39",[498,2984,2985],{"dataMmlNode":511,"transform":841},[513,2986],{"dataC":576,"xLinkHref":2987},"#MJX-16-TEX-N-30",[498,2989,2991],{"dataMmlNode":537,"transform":2990},"translate(2603.2,0)",[513,2992],{"dataC":705,"xLinkHref":2993},"#MJX-16-TEX-N-2B",[498,2995,2997],{"dataMmlNode":511,"transform":2996},"translate(3603.4,0)",[513,2998],{"dataC":550,"xLinkHref":2999},"#MJX-16-TEX-N-32",[498,3001,3003],{"dataMmlNode":537,"transform":3002},"translate(4325.7,0)",[513,3004],{"dataC":682,"xLinkHref":2975},[498,3006,3008,3012],{"dataMmlNode":686,"transform":3007},"translate(5047.9,0)",[498,3009,3010],{"dataMmlNode":511},[513,3011],{"dataC":1402,"xLinkHref":2982},[498,3013,3014],{"dataMmlNode":511,"transform":841},[513,3015],{"dataC":515,"xLinkHref":2970},[498,3017,3019],{"dataMmlNode":537,"transform":3018},"translate(6206.7,0)",[513,3020],{"dataC":705,"xLinkHref":2993},[498,3022,3024],{"dataMmlNode":511,"transform":3023},"translate(7206.9,0)",[513,3025],{"dataC":515,"xLinkHref":2970},[498,3027,3029],{"dataMmlNode":537,"transform":3028},"translate(7929.1,0)",[513,3030],{"dataC":682,"xLinkHref":2975},[498,3032,3034,3038],{"dataMmlNode":686,"transform":3033},"translate(8651.3,0)",[498,3035,3036],{"dataMmlNode":511},[513,3037],{"dataC":1402,"xLinkHref":2982},[498,3039,3040],{"dataMmlNode":511,"transform":841},[513,3041],{"dataC":550,"xLinkHref":2999},[498,3043,3045],{"dataMmlNode":537,"transform":3044},"translate(9865.7,0)",[513,3046],{"dataC":670,"xLinkHref":3047},"#MJX-16-TEX-N-3D",[498,3049,3051,3059],{"dataMmlNode":508,"transform":3050},"translate(10921.4,0)",[498,3052,3053,3055,3057],{"dataMmlNode":511},[513,3054],{"dataC":515,"xLinkHref":2970},[513,3056],{"dataC":576,"xLinkHref":2987,"transform":521},[513,3058],{"dataC":576,"xLinkHref":2987,"transform":578},[498,3060,3061],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},[498,3062,3063,3065],{"dataMmlNode":511},[513,3064],{"dataC":515,"xLinkHref":2970},[513,3066],{"dataC":576,"xLinkHref":2987,"transform":521},[498,3068,3070],{"dataMmlNode":537,"transform":3069},"translate(13489.3,0)",[513,3071],{"dataC":2726,"xLinkHref":3072},"#MJX-16-TEX-N-3C",[498,3074,3076,3085],{"dataMmlNode":508,"transform":3075},"translate(14545.1,0)",[498,3077,3078,3080,3082],{"dataMmlNode":511},[513,3079],{"dataC":515,"xLinkHref":2970},[513,3081],{"dataC":576,"xLinkHref":2987,"transform":521},[513,3083],{"dataC":558,"xLinkHref":3084,"transform":578},"#MJX-16-TEX-N-38",[498,3086,3087],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},[498,3088,3089,3091],{"dataMmlNode":511},[513,3090],{"dataC":515,"xLinkHref":2970},[513,3092],{"dataC":576,"xLinkHref":2987,"transform":521},[402,3094,3095],{},"Как раз получилось число, которое меньше числа 108. Это и есть наибольшее n!",[402,3097,3098],{},"В ответе просили перевести исходное число в десятичную систему. Это и есть число 100, уже всё переведено.",[402,3100,3101],{},[406,3102,3103],{},"Ответ: 100",[433,3105,3107],{"id":3106},"задача-8-не-все-цифры-одинаковые","Задача 8 (Не все цифры одинаковые)",[402,3109,3110],{},"Десятичное число 511 записано в системе счисления с основанием n (n > 1).\nОпределите минимальное значение n, при котором в полученной записи числа не все цифры одинаковые.\nВ ответе запишите запись числа в системе счисления с найденным основанием n.\nОснование системы счисления указывать не нужно.",[441,3112,600],{"id":3113},"решение-7",[402,3115,3116],{},"Начнём перебирать основание системы n, начиная с наименьшего значения 2. Переведём число 511 в двоичную систему.",[402,3118,3119],{},"Можно переводить стандартно, через деление уголком на 2. Но в данном случае видно, что число 511 близко к 512(это 2 в девятой степени).",[402,3121,3122,3123],{},"Существует правило:\n",[445,3124,3126],{"className":3125,"jax":449},[448],[451,3127,3131,3155],{"style":453,"xmlns":454,"width":3128,"height":3129,"role":457,"focusable":458,"viewBox":3130,"xmlnsXLink":460},"27.457ex","2.343ex","0 -841.7 12136 1035.7",[462,3132,3133,3136,3139,3142,3145,3148,3152],{},[465,3134],{"id":3135,"d":484},"MJX-17-TEX-N-32",[465,3137],{"id":3138,"d":472},"MJX-17-TEX-N-34",[465,3140],{"id":3141,"d":627},"MJX-17-TEX-N-3D",[465,3143],{"id":3144,"d":468},"MJX-17-TEX-N-31",[465,3146],{"id":3147,"d":492},"MJX-17-TEX-N-30",[465,3149],{"id":3150,"d":3151},"MJX-17-TEX-N-3B","M78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 85 94 103T137 121Q202 121 202 8Q202 -44 183 -94T144 -169T118 -194Q115 -194 106 -186T95 -174Q94 -171 107 -155T137 -107T160 -38Q161 -32 162 -22T165 -4T165 4Q165 5 161 4T142 0Q110 0 94 18T78 60Z",[465,3153],{"id":3154,"d":476},"MJX-17-TEX-N-36",[498,3156,3157],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,3158,3159,3171,3177,3198,3205,3217,3222,3248],{"dataMmlNode":505},[498,3160,3161,3166],{"dataMmlNode":686},[498,3162,3163],{"dataMmlNode":511},[513,3164],{"dataC":550,"xLinkHref":3165},"#MJX-17-TEX-N-32",[498,3167,3168],{"dataMmlNode":511,"transform":841},[513,3169],{"dataC":519,"xLinkHref":3170},"#MJX-17-TEX-N-34",[498,3172,3174],{"dataMmlNode":537,"transform":3173},"translate(1214.3,0)",[513,3175],{"dataC":670,"xLinkHref":3176},"#MJX-17-TEX-N-3D",[498,3178,3180,3194],{"dataMmlNode":508,"transform":3179},"translate(2270.1,0)",[498,3181,3182,3185,3188,3190,3192],{"dataMmlNode":511},[513,3183],{"dataC":515,"xLinkHref":3184},"#MJX-17-TEX-N-31",[513,3186],{"dataC":576,"xLinkHref":3187,"transform":521},"#MJX-17-TEX-N-30",[513,3189],{"dataC":576,"xLinkHref":3187,"transform":578},[513,3191],{"dataC":576,"xLinkHref":3187,"transform":581},[513,3193],{"dataC":576,"xLinkHref":3187,"transform":584},[498,3195,3196],{"dataMmlNode":511,"transform":587},[513,3197],{"dataC":550,"xLinkHref":3165},[498,3199,3201],{"dataMmlNode":537,"transform":3200},"translate(5206.7,0)",[513,3202],{"dataC":3203,"xLinkHref":3204},"3B","#MJX-17-TEX-N-3B",[498,3206,3208,3212],{"dataMmlNode":686,"transform":3207},"translate(5651.3,0)",[498,3209,3210],{"dataMmlNode":511},[513,3211],{"dataC":550,"xLinkHref":3165},[498,3213,3214],{"dataMmlNode":511,"transform":841},[513,3215],{"dataC":533,"xLinkHref":3216},"#MJX-17-TEX-N-36",[498,3218,3220],{"dataMmlNode":537,"transform":3219},"translate(6865.7,0)",[513,3221],{"dataC":670,"xLinkHref":3176},[498,3223,3225,3243],{"dataMmlNode":508,"transform":3224},"translate(7921.4,0)",[498,3226,3227,3229,3231,3233,3235,3237,3240],{"dataMmlNode":511},[513,3228],{"dataC":515,"xLinkHref":3184},[513,3230],{"dataC":576,"xLinkHref":3187,"transform":521},[513,3232],{"dataC":576,"xLinkHref":3187,"transform":578},[513,3234],{"dataC":576,"xLinkHref":3187,"transform":581},[513,3236],{"dataC":576,"xLinkHref":3187,"transform":584},[513,3238],{"dataC":576,"xLinkHref":3187,"transform":3239},"translate(2500,0)",[513,3241],{"dataC":576,"xLinkHref":3187,"transform":3242},"translate(3000,0)",[498,3244,3246],{"dataMmlNode":511,"transform":3245},"translate(3533,-150) scale(0.707)",[513,3247],{"dataC":550,"xLinkHref":3165},[498,3249,3251],{"dataMmlNode":537,"transform":3250},"translate(11858,0)",[513,3252],{"dataC":3203,"xLinkHref":3204},[402,3254,3255],{},"Т.е. степень двойки показывает, сколько после единицы нулей у числа в двоичной системе.",[402,3257,3258,3259],{},"Это касается любой системы счисления.\n",[445,3260,3262],{"className":3261,"jax":449},[448],[451,3263,3267,3284],{"style":453,"xmlns":454,"width":3264,"height":3265,"role":457,"focusable":458,"viewBox":3266,"xmlnsXLink":460},"20.67ex","2.326ex","0 -833.9 9136 1027.9",[462,3268,3269,3272,3275,3278,3281],{},[465,3270],{"id":3271,"d":929},"MJX-18-TEX-N-33",[465,3273],{"id":3274,"d":468},"MJX-18-TEX-N-31",[465,3276],{"id":3277,"d":627},"MJX-18-TEX-N-3D",[465,3279],{"id":3280,"d":492},"MJX-18-TEX-N-30",[465,3282],{"id":3283,"d":3151},"MJX-18-TEX-N-3B",[498,3285,3286],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,3287,3288,3300,3305,3318,3324,3335,3340,3357],{"dataMmlNode":505},[498,3289,3290,3295],{"dataMmlNode":686},[498,3291,3292],{"dataMmlNode":511},[513,3293],{"dataC":1065,"xLinkHref":3294},"#MJX-18-TEX-N-33",[498,3296,3297],{"dataMmlNode":511,"transform":841},[513,3298],{"dataC":515,"xLinkHref":3299},"#MJX-18-TEX-N-31",[498,3301,3302],{"dataMmlNode":537,"transform":3173},[513,3303],{"dataC":670,"xLinkHref":3304},"#MJX-18-TEX-N-3D",[498,3306,3307,3314],{"dataMmlNode":508,"transform":3179},[498,3308,3309,3311],{"dataMmlNode":511},[513,3310],{"dataC":515,"xLinkHref":3299},[513,3312],{"dataC":576,"xLinkHref":3313,"transform":521},"#MJX-18-TEX-N-30",[498,3315,3316],{"dataMmlNode":511,"transform":525},[513,3317],{"dataC":1065,"xLinkHref":3294},[498,3319,3321],{"dataMmlNode":537,"transform":3320},"translate(3706.7,0)",[513,3322],{"dataC":3203,"xLinkHref":3323},"#MJX-18-TEX-N-3B",[498,3325,3327,3331],{"dataMmlNode":686,"transform":3326},"translate(4151.3,0)",[498,3328,3329],{"dataMmlNode":511},[513,3330],{"dataC":1065,"xLinkHref":3294},[498,3332,3333],{"dataMmlNode":511,"transform":841},[513,3334],{"dataC":1065,"xLinkHref":3294},[498,3336,3338],{"dataMmlNode":537,"transform":3337},"translate(5365.7,0)",[513,3339],{"dataC":670,"xLinkHref":3304},[498,3341,3343,3353],{"dataMmlNode":508,"transform":3342},"translate(6421.4,0)",[498,3344,3345,3347,3349,3351],{"dataMmlNode":511},[513,3346],{"dataC":515,"xLinkHref":3299},[513,3348],{"dataC":576,"xLinkHref":3313,"transform":521},[513,3350],{"dataC":576,"xLinkHref":3313,"transform":578},[513,3352],{"dataC":576,"xLinkHref":3313,"transform":581},[498,3354,3355],{"dataMmlNode":511,"transform":2223},[513,3356],{"dataC":1065,"xLinkHref":3294},[498,3358,3360],{"dataMmlNode":537,"transform":3359},"translate(8858,0)",[513,3361],{"dataC":3203,"xLinkHref":3323},[402,3363,3364,3365],{},"Наше число:\n",[445,3366,3368],{"className":3367,"jax":449},[448],[451,3369,3372,3396],{"style":609,"xmlns":454,"width":3370,"height":768,"role":457,"focusable":458,"viewBox":3371,"xmlnsXLink":460},"46.511ex","0 -833.9 20557.9 999.5",[462,3373,3374,3377,3380,3383,3386,3389,3393],{},[465,3375],{"id":3376,"d":1762},"MJX-19-TEX-N-35",[465,3378],{"id":3379,"d":468},"MJX-19-TEX-N-31",[465,3381],{"id":3382,"d":492},"MJX-19-TEX-N-30",[465,3384],{"id":3385,"d":627},"MJX-19-TEX-N-3D",[465,3387],{"id":3388,"d":484},"MJX-19-TEX-N-32",[465,3390],{"id":3391,"d":3392},"MJX-19-TEX-N-2212","M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z",[465,3394],{"id":3395,"d":1298},"MJX-19-TEX-N-39",[498,3397,3398],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,3399,3400,3421,3427,3447,3454,3459,3464,3476,3481,3486,3491,3524,3529],{"dataMmlNode":505},[498,3401,3402,3412],{"dataMmlNode":508},[498,3403,3404,3407,3410],{"dataMmlNode":511},[513,3405],{"dataC":1791,"xLinkHref":3406},"#MJX-19-TEX-N-35",[513,3408],{"dataC":515,"xLinkHref":3409,"transform":521},"#MJX-19-TEX-N-31",[513,3411],{"dataC":515,"xLinkHref":3409,"transform":578},[498,3413,3414],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},[498,3415,3416,3418],{"dataMmlNode":511},[513,3417],{"dataC":515,"xLinkHref":3409},[513,3419],{"dataC":576,"xLinkHref":3420,"transform":521},"#MJX-19-TEX-N-30",[498,3422,3424],{"dataMmlNode":537,"transform":3423},"translate(2567.9,0)",[513,3425],{"dataC":670,"xLinkHref":3426},"#MJX-19-TEX-N-3D",[498,3428,3430,3439],{"dataMmlNode":508,"transform":3429},"translate(3623.7,0)",[498,3431,3432,3434,3436],{"dataMmlNode":511},[513,3433],{"dataC":1791,"xLinkHref":3406},[513,3435],{"dataC":515,"xLinkHref":3409,"transform":521},[513,3437],{"dataC":550,"xLinkHref":3438,"transform":578},"#MJX-19-TEX-N-32",[498,3440,3441],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},[498,3442,3443,3445],{"dataMmlNode":511},[513,3444],{"dataC":515,"xLinkHref":3409},[513,3446],{"dataC":576,"xLinkHref":3420,"transform":521},[498,3448,3450],{"dataMmlNode":537,"transform":3449},"translate(6136,0)",[513,3451],{"dataC":3452,"xLinkHref":3453},"2212","#MJX-19-TEX-N-2212",[498,3455,3457],{"dataMmlNode":511,"transform":3456},"translate(7136.2,0)",[513,3458],{"dataC":515,"xLinkHref":3409},[498,3460,3462],{"dataMmlNode":537,"transform":3461},"translate(7914,0)",[513,3463],{"dataC":670,"xLinkHref":3426},[498,3465,3467,3471],{"dataMmlNode":686,"transform":3466},"translate(8969.8,0)",[498,3468,3469],{"dataMmlNode":511},[513,3470],{"dataC":550,"xLinkHref":3438},[498,3472,3473],{"dataMmlNode":511,"transform":841},[513,3474],{"dataC":1402,"xLinkHref":3475},"#MJX-19-TEX-N-39",[498,3477,3479],{"dataMmlNode":537,"transform":3478},"translate(10128.5,0)",[513,3480],{"dataC":3452,"xLinkHref":3453},[498,3482,3484],{"dataMmlNode":511,"transform":3483},"translate(11128.8,0)",[513,3485],{"dataC":515,"xLinkHref":3409},[498,3487,3489],{"dataMmlNode":537,"transform":3488},"translate(11906.5,0)",[513,3490],{"dataC":670,"xLinkHref":3426},[498,3492,3494,3519],{"dataMmlNode":508,"transform":3493},"translate(12962.3,0)",[498,3495,3496,3498,3500,3502,3504,3506,3508,3510,3513,3516],{"dataMmlNode":511},[513,3497],{"dataC":515,"xLinkHref":3409},[513,3499],{"dataC":576,"xLinkHref":3420,"transform":521},[513,3501],{"dataC":576,"xLinkHref":3420,"transform":578},[513,3503],{"dataC":576,"xLinkHref":3420,"transform":581},[513,3505],{"dataC":576,"xLinkHref":3420,"transform":584},[513,3507],{"dataC":576,"xLinkHref":3420,"transform":3239},[513,3509],{"dataC":576,"xLinkHref":3420,"transform":3242},[513,3511],{"dataC":576,"xLinkHref":3420,"transform":3512},"translate(3500,0)",[513,3514],{"dataC":576,"xLinkHref":3420,"transform":3515},"translate(4000,0)",[513,3517],{"dataC":576,"xLinkHref":3420,"transform":3518},"translate(4500,0)",[498,3520,3522],{"dataMmlNode":511,"transform":3521},"translate(5033,-150) scale(0.707)",[513,3523],{"dataC":550,"xLinkHref":3438},[498,3525,3527],{"dataMmlNode":537,"transform":3526},"translate(18621.1,0)",[513,3528],{"dataC":3452,"xLinkHref":3453},[498,3530,3532,3536],{"dataMmlNode":508,"transform":3531},"translate(19621.3,0)",[498,3533,3534],{"dataMmlNode":511},[513,3535],{"dataC":515,"xLinkHref":3409},[498,3537,3539],{"dataMmlNode":511,"transform":3538},"translate(533,-150) scale(0.707)",[513,3540],{"dataC":550,"xLinkHref":3438},[402,3542,3543,3544],{},"Сделаем вычитание столбиком:\n",[457,3545],{"alt":3546,"src":3547},"Задача 8 Решение","\u002Fimages\u002Fblog\u002Foge\u002Ftask10\u002Fimg7.png",[402,3549,3550],{},"Вычитание или суммирование столбиком в любой системе счисления выполняются так же, как и в нашей системе счисления.\nЗдесь мы вычитаем единицу из нуля. Ноль идёт занимать у более старшего разряда и т.д. В итоге обращаемся к самой старшей единице.\nЭта единица превращается в младшем разряде в двойку, потому что работаем в двоичной системе.\nКак и в нашей системе, когда занимаем у старшего разряда единицу, она превращается в десяток.\nВ итоге каждая двойка отдаёт единицу в младший разряд. В самом младшем разряде получается действие 2-1=1.\nА все разряды, т.к. отдали единицу в младший разряд превратятся в 1.",[402,3552,3553],{},[457,3554],{"alt":3546,"src":3555},"\u002Fimages\u002Fblog\u002Foge\u002Ftask10\u002Fimg8.png",[402,3557,3558,3559],{},"Получается:\n",[445,3560,3562],{"className":3561,"jax":449},[448],[451,3563,3566,3589],{"style":609,"xmlns":454,"width":3564,"height":2042,"role":457,"focusable":458,"viewBox":3565,"xmlnsXLink":460},"16.602ex","0 -666 7338.2 831.6",[462,3567,3568,3571,3574,3577,3580,3583,3586],{},[465,3569],{"id":3570,"d":1762},"MJX-20-TEX-N-35",[465,3572],{"id":3573,"d":468},"MJX-20-TEX-N-31",[465,3575],{"id":3576,"d":492},"MJX-20-TEX-N-30",[465,3578],{"id":3579,"d":627},"MJX-20-TEX-N-3D",[465,3581],{"id":3582,"d":484},"MJX-20-TEX-N-32",[465,3584],{"id":3585,"d":929},"MJX-20-TEX-N-33",[465,3587],{"id":3588,"d":496},"MJX-20-TEX-N-2E",[498,3590,3591],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,3592,3593,3614,3619,3642],{"dataMmlNode":505},[498,3594,3595,3605],{"dataMmlNode":508},[498,3596,3597,3600,3603],{"dataMmlNode":511},[513,3598],{"dataC":1791,"xLinkHref":3599},"#MJX-20-TEX-N-35",[513,3601],{"dataC":515,"xLinkHref":3602,"transform":521},"#MJX-20-TEX-N-31",[513,3604],{"dataC":515,"xLinkHref":3602,"transform":578},[498,3606,3607],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},[498,3608,3609,3611],{"dataMmlNode":511},[513,3610],{"dataC":515,"xLinkHref":3602},[513,3612],{"dataC":576,"xLinkHref":3613,"transform":521},"#MJX-20-TEX-N-30",[498,3615,3616],{"dataMmlNode":537,"transform":3423},[513,3617],{"dataC":670,"xLinkHref":3618},"#MJX-20-TEX-N-3D",[498,3620,3621,3636],{"dataMmlNode":508,"transform":3429},[498,3622,3623,3626,3628,3630,3632,3634],{"dataMmlNode":511},[513,3624],{"dataC":550,"xLinkHref":3625},"#MJX-20-TEX-N-32",[513,3627],{"dataC":576,"xLinkHref":3613,"transform":521},[513,3629],{"dataC":576,"xLinkHref":3613,"transform":578},[513,3631],{"dataC":550,"xLinkHref":3625,"transform":581},[513,3633],{"dataC":550,"xLinkHref":3625,"transform":584},[513,3635],{"dataC":515,"xLinkHref":3602,"transform":3239},[498,3637,3639],{"dataMmlNode":511,"transform":3638},"translate(3033,-150) scale(0.707)",[513,3640],{"dataC":1065,"xLinkHref":3641},"#MJX-20-TEX-N-33",[498,3643,3645],{"dataMmlNode":537,"transform":3644},"translate(7060.2,0)",[513,3646],{"dataC":595,"xLinkHref":3647},"#MJX-20-TEX-N-2E",[402,3649,3650],{},"Видим, что не все цифры у числа одинаковые в троичной системе. И число n = 3 - это минимально возможное число.",[402,3652,3653],{},[406,3654,3655],{},"Ответ: 200221",[433,3657,3659],{"id":3658},"задача-9-диапазон-чисел","Задача 9 (Диапазон чисел)",[402,3661,3662,3663],{},"Сколько существует целых чисел x, для которых выполняется неравенство\n",[445,3664,3666],{"className":3665,"jax":449},[448],[451,3667,3671,3700],{"style":609,"xmlns":454,"width":3668,"height":3669,"role":457,"focusable":458,"viewBox":3670,"xmlnsXLink":460},"16.282ex","1.97ex","0 -705 7196.8 870.6",[462,3672,3673,3676,3680,3683,3686,3689,3693,3696],{},[465,3674],{"id":3675,"d":484},"MJX-21-TEX-N-32",[465,3677],{"id":3678,"d":3679},"MJX-21-TEX-I-1D435","M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z",[465,3681],{"id":3682,"d":468},"MJX-21-TEX-N-31",[465,3684],{"id":3685,"d":476},"MJX-21-TEX-N-36",[465,3687],{"id":3688,"d":2612},"MJX-21-TEX-N-3C",[465,3690],{"id":3691,"d":3692},"MJX-21-TEX-I-1D465","M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z",[465,3694],{"id":3695,"d":488},"MJX-21-TEX-N-38",[465,3697],{"id":3698,"d":3699},"MJX-21-TEX-N-3F","M226 668Q190 668 162 656T124 632L114 621Q116 621 119 620T130 616T145 607T157 591T162 567Q162 544 147 529T109 514T71 528T55 566Q55 625 100 661T199 704Q201 704 210 704T224 705H228Q281 705 320 692T378 656T407 612T416 567Q416 503 361 462Q267 395 247 303Q242 279 242 241V224Q242 205 239 202T222 198T205 201T202 218V249Q204 320 220 371T255 445T292 491T315 537Q317 546 317 574V587Q317 604 315 615T304 640T277 661T226 668ZM162 61Q162 89 180 105T224 121Q247 119 264 104T281 61Q281 31 264 16T222 1Q197 1 180 16T162 61Z",[498,3701,3702],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,3703,3704,3709,3728,3734,3741,3746,3760],{"dataMmlNode":505},[498,3705,3706],{"dataMmlNode":511},[513,3707],{"dataC":550,"xLinkHref":3708},"#MJX-21-TEX-N-32",[498,3710,3711,3717],{"dataMmlNode":508,"transform":521},[498,3712,3713],{"dataMmlNode":1182},[513,3714],{"dataC":3715,"xLinkHref":3716},"1D435","#MJX-21-TEX-I-1D435",[498,3718,3720],{"dataMmlNode":524,"transform":3719,"dataMjxTexclass":526},"translate(792,-150) scale(0.707)",[498,3721,3722,3725],{"dataMmlNode":511},[513,3723],{"dataC":515,"xLinkHref":3724},"#MJX-21-TEX-N-31",[513,3726],{"dataC":533,"xLinkHref":3727,"transform":521},"#MJX-21-TEX-N-36",[498,3729,3731],{"dataMmlNode":537,"transform":3730},"translate(2326.9,0)",[513,3732],{"dataC":2726,"xLinkHref":3733},"#MJX-21-TEX-N-3C",[498,3735,3737],{"dataMmlNode":1182,"transform":3736},"translate(3382.7,0)",[513,3738],{"dataC":3739,"xLinkHref":3740},"1D465","#MJX-21-TEX-I-1D465",[498,3742,3744],{"dataMmlNode":537,"transform":3743},"translate(4232.4,0)",[513,3745],{"dataC":2726,"xLinkHref":3733},[498,3747,3749,3755],{"dataMmlNode":508,"transform":3748},"translate(5288.2,0)",[498,3750,3751,3753],{"dataMmlNode":511},[513,3752],{"dataC":533,"xLinkHref":3727},[513,3754],{"dataC":550,"xLinkHref":3708,"transform":521},[498,3756,3757],{"dataMmlNode":511,"transform":525},[513,3758],{"dataC":558,"xLinkHref":3759},"#MJX-21-TEX-N-38",[498,3761,3763],{"dataMmlNode":537,"transform":3762},"translate(6724.8,0)",[513,3764],{"dataC":3765,"xLinkHref":3766},"3F","#MJX-21-TEX-N-3F",[402,3768,3769],{},"В ответе укажите только количество чисел, сами числа писать не нужно.",[441,3771,600],{"id":3772},"решение-8",[402,3774,3775],{},"Нам нужно узнать сколько чисел находятся в диапазоне от 2B до 62. Переведём числа 2B и 62 в нашу родную десятичную систему счисления.\nЗатем, мы уже сможем сообразить, сколько чисел вмещается в этот диапазон.",[402,3777,3778,3779],{},"Чтобы перевести число из любой системы счисления в нашу родную десятичную, необходимо воспользоваться методом \"возведения в степень\".\n",[445,3780,3782],{"className":3781,"jax":449},[448],[451,3783,3787,3826],{"style":453,"xmlns":454,"width":3784,"height":3785,"role":457,"focusable":458,"viewBox":3786,"xmlnsXLink":460},"36.32ex","2.394ex","0 -864 16053.5 1058",[462,3788,3789,3792,3795,3798,3801,3804,3808,3811,3814,3817,3820,3823],{},[465,3790],{"id":3791,"d":484},"MJX-22-TEX-N-32",[465,3793],{"id":3794,"d":3679},"MJX-22-TEX-I-1D435",[465,3796],{"id":3797,"d":468},"MJX-22-TEX-N-31",[465,3799],{"id":3800,"d":476},"MJX-22-TEX-N-36",[465,3802],{"id":3803,"d":627},"MJX-22-TEX-N-3D",[465,3805],{"id":3806,"d":3807},"MJX-22-TEX-I-1D44B","M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0Z",[465,3809],{"id":3810,"d":492},"MJX-22-TEX-N-30",[465,3812],{"id":3813,"d":3151},"MJX-22-TEX-N-3B",[465,3815],{"id":3816,"d":631},"MJX-22-TEX-N-2217",[465,3818],{"id":3819,"d":638},"MJX-22-TEX-N-2B",[465,3821],{"id":3822,"d":472},"MJX-22-TEX-N-34",[465,3824],{"id":3825,"d":929},"MJX-22-TEX-N-33",[498,3827,3828],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,3829,3830,3835,3852,3857,3874,3880,3887,3893,3906,3912,3917,3922,3935,3940],{"dataMmlNode":505},[498,3831,3832],{"dataMmlNode":511},[513,3833],{"dataC":550,"xLinkHref":3834},"#MJX-22-TEX-N-32",[498,3836,3837,3842],{"dataMmlNode":508,"transform":521},[498,3838,3839],{"dataMmlNode":1182},[513,3840],{"dataC":3715,"xLinkHref":3841},"#MJX-22-TEX-I-1D435",[498,3843,3844],{"dataMmlNode":524,"transform":3719,"dataMjxTexclass":526},[498,3845,3846,3849],{"dataMmlNode":511},[513,3847],{"dataC":515,"xLinkHref":3848},"#MJX-22-TEX-N-31",[513,3850],{"dataC":533,"xLinkHref":3851,"transform":521},"#MJX-22-TEX-N-36",[498,3853,3854],{"dataMmlNode":537,"transform":3730},[513,3855],{"dataC":670,"xLinkHref":3856},"#MJX-22-TEX-N-3D",[498,3858,3859,3865],{"dataMmlNode":508,"transform":3736},[498,3860,3861],{"dataMmlNode":1182},[513,3862],{"dataC":3863,"xLinkHref":3864},"1D44B","#MJX-22-TEX-I-1D44B",[498,3866,3867],{"dataMmlNode":524,"transform":1189,"dataMjxTexclass":526},[498,3868,3869,3871],{"dataMmlNode":511},[513,3870],{"dataC":515,"xLinkHref":3848},[513,3872],{"dataC":576,"xLinkHref":3873,"transform":521},"#MJX-22-TEX-N-30",[498,3875,3877],{"dataMmlNode":537,"transform":3876},"translate(5000.8,0)",[513,3878],{"dataC":3203,"xLinkHref":3879},"#MJX-22-TEX-N-3B",[498,3881,3883,3885],{"dataMmlNode":511,"transform":3882},"translate(5445.4,0)",[513,3884],{"dataC":515,"xLinkHref":3848},[513,3886],{"dataC":515,"xLinkHref":3848,"transform":521},[498,3888,3890],{"dataMmlNode":537,"transform":3889},"translate(6667.7,0)",[513,3891],{"dataC":682,"xLinkHref":3892},"#MJX-22-TEX-N-2217",[498,3894,3896,3902],{"dataMmlNode":686,"transform":3895},"translate(7389.9,0)",[498,3897,3898,3900],{"dataMmlNode":511},[513,3899],{"dataC":515,"xLinkHref":3848},[513,3901],{"dataC":533,"xLinkHref":3851,"transform":521},[498,3903,3904],{"dataMmlNode":511,"transform":696},[513,3905],{"dataC":576,"xLinkHref":3873},[498,3907,3909],{"dataMmlNode":537,"transform":3908},"translate(9048.7,0)",[513,3910],{"dataC":705,"xLinkHref":3911},"#MJX-22-TEX-N-2B",[498,3913,3915],{"dataMmlNode":511,"transform":3914},"translate(10048.9,0)",[513,3916],{"dataC":550,"xLinkHref":3834},[498,3918,3920],{"dataMmlNode":537,"transform":3919},"translate(10771.1,0)",[513,3921],{"dataC":682,"xLinkHref":3892},[498,3923,3925,3931],{"dataMmlNode":686,"transform":3924},"translate(11493.3,0)",[498,3926,3927,3929],{"dataMmlNode":511},[513,3928],{"dataC":515,"xLinkHref":3848},[513,3930],{"dataC":533,"xLinkHref":3851,"transform":521},[498,3932,3933],{"dataMmlNode":511,"transform":696},[513,3934],{"dataC":515,"xLinkHref":3848},[498,3936,3938],{"dataMmlNode":537,"transform":3937},"translate(13207.7,0)",[513,3939],{"dataC":670,"xLinkHref":3856},[498,3941,3943,3951],{"dataMmlNode":508,"transform":3942},"translate(14263.4,0)",[498,3944,3945,3948],{"dataMmlNode":511},[513,3946],{"dataC":519,"xLinkHref":3947},"#MJX-22-TEX-N-34",[513,3949],{"dataC":1065,"xLinkHref":3950,"transform":521},"#MJX-22-TEX-N-33",[498,3952,3953],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,3954,3955,3957],{"dataMmlNode":511},[513,3956],{"dataC":515,"xLinkHref":3848},[513,3958],{"dataC":576,"xLinkHref":3873,"transform":521},[402,3960,3961,3962],{},"Начинаем с младшего разряда. Цифра \"B\" превращается в 11. 2B = 43(в десятичной). Теперь переведём число 62 в десятичную систему:\n",[445,3963,3965],{"className":3964,"jax":449},[448],[451,3966,3969,4004],{"style":453,"xmlns":454,"width":3967,"height":3265,"role":457,"focusable":458,"viewBox":3968,"xmlnsXLink":460},"31.541ex","0 -833.9 13941 1027.9",[462,3970,3971,3974,3977,3980,3983,3986,3989,3992,3995,3998,4001],{},[465,3972],{"id":3973,"d":476},"MJX-23-TEX-N-36",[465,3975],{"id":3976,"d":484},"MJX-23-TEX-N-32",[465,3978],{"id":3979,"d":488},"MJX-23-TEX-N-38",[465,3981],{"id":3982,"d":627},"MJX-23-TEX-N-3D",[465,3984],{"id":3985,"d":3807},"MJX-23-TEX-I-1D44B",[465,3987],{"id":3988,"d":468},"MJX-23-TEX-N-31",[465,3990],{"id":3991,"d":492},"MJX-23-TEX-N-30",[465,3993],{"id":3994,"d":3151},"MJX-23-TEX-N-3B",[465,3996],{"id":3997,"d":631},"MJX-23-TEX-N-2217",[465,3999],{"id":4000,"d":638},"MJX-23-TEX-N-2B",[465,4002],{"id":4003,"d":1762},"MJX-23-TEX-N-35",[498,4005,4006],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,4007,4008,4025,4030,4047,4053,4058,4064,4075,4081,4086,4091,4102,4107],{"dataMmlNode":505},[498,4009,4010,4018],{"dataMmlNode":508},[498,4011,4012,4015],{"dataMmlNode":511},[513,4013],{"dataC":533,"xLinkHref":4014},"#MJX-23-TEX-N-36",[513,4016],{"dataC":550,"xLinkHref":4017,"transform":521},"#MJX-23-TEX-N-32",[498,4019,4020],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,4021,4022],{"dataMmlNode":511},[513,4023],{"dataC":558,"xLinkHref":4024},"#MJX-23-TEX-N-38",[498,4026,4027],{"dataMmlNode":537,"transform":817},[513,4028],{"dataC":670,"xLinkHref":4029},"#MJX-23-TEX-N-3D",[498,4031,4032,4037],{"dataMmlNode":508,"transform":823},[498,4033,4034],{"dataMmlNode":1182},[513,4035],{"dataC":3863,"xLinkHref":4036},"#MJX-23-TEX-I-1D44B",[498,4038,4039],{"dataMmlNode":524,"transform":1189,"dataMjxTexclass":526},[498,4040,4041,4044],{"dataMmlNode":511},[513,4042],{"dataC":515,"xLinkHref":4043},"#MJX-23-TEX-N-31",[513,4045],{"dataC":576,"xLinkHref":4046,"transform":521},"#MJX-23-TEX-N-30",[498,4048,4050],{"dataMmlNode":537,"transform":4049},"translate(4388.2,0)",[513,4051],{"dataC":3203,"xLinkHref":4052},"#MJX-23-TEX-N-3B",[498,4054,4056],{"dataMmlNode":511,"transform":4055},"translate(4832.9,0)",[513,4057],{"dataC":550,"xLinkHref":4017},[498,4059,4061],{"dataMmlNode":537,"transform":4060},"translate(5555.1,0)",[513,4062],{"dataC":682,"xLinkHref":4063},"#MJX-23-TEX-N-2217",[498,4065,4067,4071],{"dataMmlNode":686,"transform":4066},"translate(6277.3,0)",[498,4068,4069],{"dataMmlNode":511},[513,4070],{"dataC":558,"xLinkHref":4024},[498,4072,4073],{"dataMmlNode":511,"transform":841},[513,4074],{"dataC":576,"xLinkHref":4046},[498,4076,4078],{"dataMmlNode":537,"transform":4077},"translate(7436.1,0)",[513,4079],{"dataC":705,"xLinkHref":4080},"#MJX-23-TEX-N-2B",[498,4082,4084],{"dataMmlNode":511,"transform":4083},"translate(8436.3,0)",[513,4085],{"dataC":533,"xLinkHref":4014},[498,4087,4089],{"dataMmlNode":537,"transform":4088},"translate(9158.5,0)",[513,4090],{"dataC":682,"xLinkHref":4063},[498,4092,4094,4098],{"dataMmlNode":686,"transform":4093},"translate(9880.8,0)",[498,4095,4096],{"dataMmlNode":511},[513,4097],{"dataC":558,"xLinkHref":4024},[498,4099,4100],{"dataMmlNode":511,"transform":841},[513,4101],{"dataC":515,"xLinkHref":4043},[498,4103,4105],{"dataMmlNode":537,"transform":4104},"translate(11095.1,0)",[513,4106],{"dataC":670,"xLinkHref":4029},[498,4108,4110,4117],{"dataMmlNode":508,"transform":4109},"translate(12150.9,0)",[498,4111,4112,4115],{"dataMmlNode":511},[513,4113],{"dataC":1791,"xLinkHref":4114},"#MJX-23-TEX-N-35",[513,4116],{"dataC":576,"xLinkHref":4046,"transform":521},[498,4118,4119],{"dataMmlNode":524,"transform":525,"dataMjxTexclass":526},[498,4120,4121,4123],{"dataMmlNode":511},[513,4122],{"dataC":515,"xLinkHref":4043},[513,4124],{"dataC":576,"xLinkHref":4046,"transform":521},[402,4126,4127],{},"Таким образом, наше неравенство принимает вид 43 \u003C x \u003C 50. Кажется, что нужно сделать 50 - 43 = 7.\nНо если мы подставим небольшие числа 4 \u003C x \u003C 6, то мы увидим, что метод 6-4=2 неверен. Число будет только одно: 5 (пять).\nПоэтому и от нашего числа 7 мы тоже должны отнять единицу. 7 - 1 = 6. И ответ будет 6.",[402,4129,4130],{},"Если бы у нас было в одном месте знак \"больше или равно\": 2B ≤ x \u003C 62, то мы бы оставили число 7.\nА если было бы два знака \"больше или равно\", то даже прибавили единицу.",[402,4132,4133],{},[406,4134,4135],{},"Ответ: 6",[433,4137,4139],{"id":4138},"задача-10-огэ-2026","Задача 10 (ОГЭ 2026)",[402,4141,4142,4143],{},"Вычислите значение арифметического выражения:\n",[445,4144,4146],{"className":4145,"jax":449},[448],[451,4147,4150,4170],{"style":609,"xmlns":454,"width":4148,"height":2042,"role":457,"focusable":458,"viewBox":4149,"xmlnsXLink":460},"24ex","0 -666 10608.1 831.6",[462,4151,4152,4155,4158,4161,4164,4167],{},[465,4153],{"id":4154,"d":468},"MJX-24-TEX-N-31",[465,4156],{"id":4157,"d":492},"MJX-24-TEX-N-30",[465,4159],{"id":4160,"d":484},"MJX-24-TEX-N-32",[465,4162],{"id":4163,"d":638},"MJX-24-TEX-N-2B",[465,4165],{"id":4166,"d":488},"MJX-24-TEX-N-38",[465,4168],{"id":4169,"d":476},"MJX-24-TEX-N-36",[498,4171,4172],{"stroke":500,"fill":500,"stroke-width":501,"transform":502},[498,4173,4174,4197,4203,4221,4226],{"dataMmlNode":505},[498,4175,4176,4192],{"dataMmlNode":508},[498,4177,4178,4181,4183,4186,4188,4190],{"dataMmlNode":511},[513,4179],{"dataC":515,"xLinkHref":4180},"#MJX-24-TEX-N-31",[513,4182],{"dataC":515,"xLinkHref":4180,"transform":521},[513,4184],{"dataC":576,"xLinkHref":4185,"transform":578},"#MJX-24-TEX-N-30",[513,4187],{"dataC":515,"xLinkHref":4180,"transform":581},[513,4189],{"dataC":515,"xLinkHref":4180,"transform":584},[513,4191],{"dataC":515,"xLinkHref":4180,"transform":3239},[498,4193,4194],{"dataMmlNode":511,"transform":3638},[513,4195],{"dataC":550,"xLinkHref":4196},"#MJX-24-TEX-N-32",[498,4198,4200],{"dataMmlNode":537,"transform":4199},"translate(3658.8,0)",[513,4201],{"dataC":705,"xLinkHref":4202},"#MJX-24-TEX-N-2B",[498,4204,4206,4216],{"dataMmlNode":508,"transform":4205},"translate(4659,0)",[498,4207,4208,4210,4212,4214],{"dataMmlNode":511},[513,4209],{"dataC":515,"xLinkHref":4180},[513,4211],{"dataC":515,"xLinkHref":4180,"transform":521},[513,4213],{"dataC":576,"xLinkHref":4185,"transform":578},[513,4215],{"dataC":515,"xLinkHref":4180,"transform":581},[498,4217,4218],{"dataMmlNode":511,"transform":2223},[513,4219],{"dataC":558,"xLinkHref":4220},"#MJX-24-TEX-N-38",[498,4222,4224],{"dataMmlNode":537,"transform":4223},"translate(7317.8,0)",[513,4225],{"dataC":705,"xLinkHref":4202},[498,4227,4229,4237],{"dataMmlNode":508,"transform":4228},"translate(8318,0)",[498,4230,4231,4233,4235],{"dataMmlNode":511},[513,4232],{"dataC":515,"xLinkHref":4180},[513,4234],{"dataC":515,"xLinkHref":4180,"transform":521},[513,4236],{"dataC":576,"xLinkHref":4185,"transform":578},[498,4238,4239],{"dataMmlNode":524,"transform":2009,"dataMjxTexclass":526},[498,4240,4241,4243],{"dataMmlNode":511},[513,4242],{"dataC":515,"xLinkHref":4180},[513,4244],{"dataC":533,"xLinkHref":4245,"transform":521},"#MJX-24-TEX-N-36",[402,4247,4248],{},"В ответе запишите десятичное число. Основание системы счисления указывать не нужно.",[441,4250,600],{"id":4251},"решение-9",[402,4253,1258,4254],{},[445,4255,4257],{"className":4256,"jax":449},[448],[451,4258,4261,4290],{"style":609,"xmlns":454,"width":4259,"height":904,"role":457,"focusable":458,"viewBox":4260,"xmlnsXLink":460},"64.009ex","0 -841.7 28292 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