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 4575774810Целая часть находится делением на основание новой:
45757748 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
-45757748 | 22878874 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -22878874 | 11439437 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -11439436 | 5719718 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | 1 | -5719718 | 2859859 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -2859858 | 1429929 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -1429928 | 714964 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | 1 | -714964 | 357482 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -357482 | 178741 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -178740 | 89370 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -89370 | 44685 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -44684 | 22342 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -22342 | 11171 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -11170 | 5585 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -5584 | 2792 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | 1 | -2792 | 1396 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -1396 | 698 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -698 | 349 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -348 | 174 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | 1 | -174 | 87 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -86 | 43 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -42 | 21 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -20 | 10 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -10 | 5 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
Результат перевода:
4575774810 = 101011101000110101001101002 2)
Переведем число 484848848410Целая часть находится делением на основание новой:
4848488484 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-4848488484 | 2424244242 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -2424244242 | 1212122121 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -1212122120 | 606061060 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 1 | -606061060 | 303030530 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -303030530 | 151515265 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -151515264 | 75757632 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 1 | -75757632 | 37878816 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -37878816 | 18939408 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -18939408 | 9469704 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -9469704 | 4734852 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -4734852 | 2367426 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -2367426 | 1183713 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -1183712 | 591856 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -591856 | 295928 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -295928 | 147964 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -147964 | 73982 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -73982 | 36991 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -36990 | 18495 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 1 | -18494 | 9247 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 1 | -9246 | 4623 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -4622 | 2311 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -2310 | 1155 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -1154 | 577 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -576 | 288 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -288 | 144 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | -144 | 72 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -72 | 36 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -36 | 18 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -18 | 9 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
Результат перевода:
484848848410 = 1001000001111111000010000001001002 3)
Переведем число 5567544338Для этого переведем его сначала в десятичную вот так:
556754433
8 = 5∙8
8+5∙8
7+6∙8
6+7∙8
5+5∙8
4+4∙8
3+4∙8
2+3∙8
1+3∙8
0 = 83886080+10485760+1572864+229376+20480+2048+256+24+3 = 96196891
10Целая часть находится делением на основание новой:
96196891 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
-96196890 | 48098445 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -48098444 | 24049222 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| 1 | -24049222 | 12024611 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -12024610 | 6012305 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | 1 | -6012304 | 3006152 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -3006152 | 1503076 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -1503076 | 751538 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -751538 | 375769 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -375768 | 187884 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -187884 | 93942 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -93942 | 46971 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -46970 | 23485 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | 1 | -23484 | 11742 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -11742 | 5871 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -5870 | 2935 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -2934 | 1467 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -1466 | 733 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -732 | 366 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | 1 | -366 | 183 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -182 | 91 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -90 | 45 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -44 | 22 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -22 | 11 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | 0 | -10 | 5 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
Результат перевода:
5567544338 = 1011011101111011001000110112В результате преобразований получили выражение:
101011101000110101001101002+1001000001111111000010000001001002+1011011101111011001000110112 В полученном выражении все числа находятся в двоичной системе счисления. Поэтому все расчеты будем выполнять в ней.
1)
Выполним сложение 101011101000110101001101002+1001000001111111000010000001001002 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
+ | | | | | | | | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 |
1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 |
Получилось: 10101110100011010100110100
2+100100000111111100001000000100100
2 = 100100011101110000100010101011000
2 Подставим результат это расчета в исходное выражение
101011101000110101001101002 + 1001000001111111000010000001001002 + 101101110111101100100011011
2 =
1001000111011100001000101010110002 + 101101110111101100100011011
2 2)
Выполним сложение 1001000111011100001000101010110002+1011011101111011001000110112 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
+ | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 |
| | | | | | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 |
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 |
Получилось: 100100011101110000100010101011000
2+101101110111101100100011011
2 = 100101001011101000001111001110011
2 Вы пожелали видеть ответ в двоичной системе счисления
Результат расчета уже находится в нужной СС.
Окончательный ответ:1001010010111010000011110011100112