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:
4728 = 4 7 2 = 4(=100) 7(=111) 2(=010) = 1001110102
answer: 4728 = 1001110102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
4∙82+7∙81+2∙80 = 4∙64+7∙8+2∙1 = 256+56+2 = 31410
got It: 4728 =31410
Translate the number 31410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
314 | 2 | | | | | | | | |
-314 | 157 | 2 | | | | | | | |
0 | -156 | 78 | 2 | | | | | | |
| 1 | -78 | 39 | 2 | | | | | |
| | 0 | -38 | 19 | 2 | | | | |
| | | 1 | -18 | 9 | 2 | | | |
| | | | 1 | -8 | 4 | 2 | | |
| | | | | 1 | -4 | 2 | 2 | |
| | | | | | 0 | -2 | 1 | |
| | | | | | | 0 | | |
|
the result of the conversion was:
31410 = 1001110102
answer: 4728 = 1001110102