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:
2738 = 2 7 3 = 2(=010) 7(=111) 3(=011) = 0101110112
answer: 2738 = 101110112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙82+7∙81+3∙80 = 2∙64+7∙8+3∙1 = 128+56+3 = 18710
got It: 2738 =18710
Translate the number 18710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
187 | 2 | | | | | | | |
-186 | 93 | 2 | | | | | | |
1 | -92 | 46 | 2 | | | | | |
| 1 | -46 | 23 | 2 | | | | |
| | 0 | -22 | 11 | 2 | | | |
| | | 1 | -10 | 5 | 2 | | |
| | | | 1 | -4 | 2 | 2 | |
| | | | | 1 | -2 | 1 | |
| | | | | | 0 | | |
|
the result of the conversion was:
18710 = 101110112
answer: 2738 = 101110112