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:
3268 = 3 2 6 = 3(=011) 2(=010) 6(=110) = 0110101102
answer: 3268 = 110101102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙82+2∙81+6∙80 = 3∙64+2∙8+6∙1 = 192+16+6 = 21410
got It: 3268 =21410
Translate the number 21410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
214 | 2 | | | | | | | |
-214 | 107 | 2 | | | | | | |
0 | -106 | 53 | 2 | | | | | |
| 1 | -52 | 26 | 2 | | | | |
| | 1 | -26 | 13 | 2 | | | |
| | | 0 | -12 | 6 | 2 | | |
| | | | 1 | -6 | 3 | 2 | |
| | | | | 0 | -2 | 1 | |
| | | | | | 1 | | |
|
the result of the conversion was:
21410 = 110101102
answer: 3268 = 110101102