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:
178 = 1 7 = 1(=001) 7(=111) = 0011112
answer: 178 = 11112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙81+7∙80 = 1∙8+7∙1 = 8+7 = 1510
got It: 178 =1510
Translate the number 1510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
15 | 2 | | | |
-14 | 7 | 2 | | |
1 | -6 | 3 | 2 | |
| 1 | -2 | 1 | |
| | 1 | | |
|
the result of the conversion was:
1510 = 11112
answer: 178 = 11112