Мы определили что два или более чисел находятся в разных системах счисления.
Для правильного выполнения всех арифметических операций необходимо
перевести все числа в какую-нибудь одну систему счисления.
Вы выбрали двоичную систему счисления поэтому в нее осуществим перевод всех чисел.
1)
Переведем число 127446549710Целая часть находится делением на основание новой:
1274465497 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-1274465496 | 637232748 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -637232748 | 318616374 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -318616374 | 159308187 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -159308186 | 79654093 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 1 | -79654092 | 39827046 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -39827046 | 19913523 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -19913522 | 9956761 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -9956760 | 4978380 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 1 | -4978380 | 2489190 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -2489190 | 1244595 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -1244594 | 622297 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -622296 | 311148 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 1 | -311148 | 155574 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -155574 | 77787 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -77786 | 38893 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -38892 | 19446 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -19446 | 9723 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -9722 | 4861 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 1 | -4860 | 2430 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 1 | -2430 | 1215 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -1214 | 607 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -606 | 303 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -302 | 151 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -150 | 75 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -74 | 37 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | -36 | 18 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 1 | -18 | 9 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
Результат перевода:
127446549710 = 10010111111011011001100110110012 2)
Переведем число 10515468Для этого переведем его сначала в десятичную вот так:
1051546
8 = 1∙8
6+0∙8
5+5∙8
4+1∙8
3+5∙8
2+4∙8
1+6∙8
0 = 262144+0+20480+512+320+32+6 = 283494
10Целая часть находится делением на основание новой:
283494 | 2 | | | | | | | | | | | | | | | | | | |
-283494 | 141747 | 2 | | | | | | | | | | | | | | | | | |
0 | -141746 | 70873 | 2 | | | | | | | | | | | | | | | | |
| 1 | -70872 | 35436 | 2 | | | | | | | | | | | | | | | |
| | 1 | -35436 | 17718 | 2 | | | | | | | | | | | | | | |
| | | 0 | -17718 | 8859 | 2 | | | | | | | | | | | | | |
| | | | 0 | -8858 | 4429 | 2 | | | | | | | | | | | | |
| | | | | 1 | -4428 | 2214 | 2 | | | | | | | | | | | |
| | | | | | 1 | -2214 | 1107 | 2 | | | | | | | | | | |
| | | | | | | 0 | -1106 | 553 | 2 | | | | | | | | | |
| | | | | | | | 1 | -552 | 276 | 2 | | | | | | | | |
| | | | | | | | | 1 | -276 | 138 | 2 | | | | | | | |
| | | | | | | | | | 0 | -138 | 69 | 2 | | | | | | |
| | | | | | | | | | | 0 | -68 | 34 | 2 | | | | | |
| | | | | | | | | | | | 1 | -34 | 17 | 2 | | | | |
| | | | | | | | | | | | | 0 | -16 | 8 | 2 | | | |
| | | | | | | | | | | | | | 1 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | 0 | | |
|
Результат перевода:
10515468 = 10001010011011001102 3)
Переведем число A06745478576416Для этого переведем его сначала в десятичную вот так:
A067454785764
16 = 10∙16
12+0∙16
11+6∙16
10+7∙16
9+4∙16
8+5∙16
7+4∙16
6+7∙16
5+8∙16
4+5∙16
3+7∙16
2+6∙16
1+4∙16
0 = 2814749767106560+0+6597069766656+481036337152+17179869184+1342177280+67108864+7340032+524288+20480+1792+96+4 = 2821846470252388
10Целая часть находится делением на основание новой:
2821846470252388 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-2821846470252388 | 1410923235126194 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -1410923235126194 | 705461617563097 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -705461617563096 | 352730808781548 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 1 | -352730808781548 | 176365404390774 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -176365404390774 | 88182702195387 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -88182702195386 | 44091351097693 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 1 | -44091351097692 | 22045675548846 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -22045675548846 | 11022837774423 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -11022837774422 | 5511418887211 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -5511418887210 | 2755709443605 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 1 | -2755709443604 | 1377854721802 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -1377854721802 | 688927360901 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -688927360900 | 344463680450 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -344463680450 | 172231840225 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -172231840224 | 86115920112 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -86115920112 | 43057960056 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -43057960056 | 21528980028 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -21528980028 | 10764490014 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -10764490014 | 5382245007 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -5382245006 | 2691122503 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -2691122502 | 1345561251 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -1345561250 | 672780625 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -672780624 | 336390312 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -336390312 | 168195156 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 0 | -168195156 | 84097578 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | -84097578 | 42048789 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -42048788 | 21024394 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -21024394 | 10512197 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -10512196 | 5256098 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -5256098 | 2628049 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2628048 | 1314024 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -1314024 | 657012 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -657012 | 328506 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -328506 | 164253 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -164252 | 82126 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -82126 | 41063 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -41062 | 20531 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -20530 | 10265 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -10264 | 5132 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -5132 | 2566 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2566 | 1283 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -1282 | 641 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -640 | 320 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -320 | 160 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -160 | 80 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -80 | 40 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -40 | 20 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -20 | 10 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -10 | 5 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
Результат перевода:
A06745478576416 = 10100000011001110100010101000111100001010111011001002 4) Число 1101111111111111111111111111
2 уже находится в нужной СС.
В результате преобразований получили выражение:
10010111111011011001100110110012+10001010011011001102+10100000011001110100010101000111100001010111011001002+11011111111111111111111111112+ В полученном выражении все числа находятся в двоичной системе счисления. Поэтому все расчеты будем выполнять в ней.
1)
Выполним сложение 10010111111011011001100110110012+10001010011011001102 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
+ | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 |
| | | | | | | | | | | | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 |
Получилось: 1001011111101101100110011011001
2+1000101001101100110
2 = 1001011111110110010000000111111
2 Подставим результат это расчета в исходное выражение
10010111111011011001100110110012 + 10001010011011001102 + 1010000001100111010001010100011110000101011101100100
2 + 1101111111111111111111111111
2 =
10010111111101100100000001111112 + 1010000001100111010001010100011110000101011101100100
2 + 1101111111111111111111111111
2 2)
Выполним сложение 10010111111101100100000001111112+10100000011001110100010101000111100001010111011001002 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
+ | | | | | | | | | | | | | | | | | | | | | | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 |
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 |
Получилось: 1001011111110110010000000111111
2+1010000001100111010001010100011110000101011101100100
2 = 1010000001100111010010100000011100110111011110100011
2 Подставим результат это расчета в исходное выражение
10010111111101100100000001111112 + 10100000011001110100010101000111100001010111011001002 + 1101111111111111111111111111
2 =
10100000011001110100101000000111001101110111101000112 + 1101111111111111111111111111
2 3)
Выполним сложение 10100000011001110100101000000111001101110111101000112+11011111111111111111111111112 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
+ | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 |
Получилось: 1010000001100111010010100000011100110111011110100011
2+1101111111111111111111111111
2 = 1010000001100111010010101110011100110111011110100010
2 Вы пожелали видеть ответ в двоичной системе счисления
Результат расчета уже находится в нужной СС.
Окончательный ответ:10100000011001110100101011100111001101110111101000102