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:
3628 = 3 6 2 = 3(=011) 6(=110) 2(=010) = 0111100102
answer: 3628 = 111100102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙82+6∙81+2∙80 = 3∙64+6∙8+2∙1 = 192+48+2 = 24210
got It: 3628 =24210
Translate the number 24210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
242 | 2 | | | | | | | |
-242 | 121 | 2 | | | | | | |
0 | -120 | 60 | 2 | | | | | |
| 1 | -60 | 30 | 2 | | | | |
| | 0 | -30 | 15 | 2 | | | |
| | | 0 | -14 | 7 | 2 | | |
| | | | 1 | -6 | 3 | 2 | |
| | | | | 1 | -2 | 1 | |
| | | | | | 1 | | |
|
the result of the conversion was:
24210 = 111100102
answer: 3628 = 111100102