This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from octal to binary like this:
25618 = 2 5 6 1 = 2(=010) 5(=101) 6(=110) 1(=001) = 0101011100012
answer: 25618 = 101011100012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙83+5∙82+6∙81+1∙80 = 2∙512+5∙64+6∙8+1∙1 = 1024+320+48+1 = 139310
got It: 25618 =139310
Translate the number 139310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1393 | 2 | | | | | | | | | | |
-1392 | 696 | 2 | | | | | | | | | |
1 | -696 | 348 | 2 | | | | | | | | |
| 0 | -348 | 174 | 2 | | | | | | | |
| | 0 | -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 | | |
|
the result of the conversion was:
139310 = 101011100012
answer: 25618 = 101011100012