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:
5768 = 5 7 6 = 5(=101) 7(=111) 6(=110) = 1011111102
the Final answer: 5768 = 1011111102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
5∙82+7∙81+6∙80 = 5∙64+7∙8+6∙1 = 320+56+6 = 38210
got It: 5768 =38210
Translate the number 38210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
382 | 2 | | | | | | | | |
-382 | 191 | 2 | | | | | | | |
0 | -190 | 95 | 2 | | | | | | |
| 1 | -94 | 47 | 2 | | | | | |
| | 1 | -46 | 23 | 2 | | | | |
| | | 1 | -22 | 11 | 2 | | | |
| | | | 1 | -10 | 5 | 2 | | |
| | | | | 1 | -4 | 2 | 2 | |
| | | | | | 1 | -2 | 1 | |
| | | | | | | 0 | | |
|
the result of the conversion was:
38210 = 1011111102
the Final answer: 5768 = 1011111102