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:
7248 = 7 2 4 = 7(=111) 2(=010) 4(=100) = 1110101002
answer: 7248 = 1110101002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙82+2∙81+4∙80 = 7∙64+2∙8+4∙1 = 448+16+4 = 46810
got It: 7248 =46810
Translate the number 46810 в binary like this:
the Integer part of the number is divided by the base of the new number system:
468 | 2 | | | | | | | | |
-468 | 234 | 2 | | | | | | | |
0 | -234 | 117 | 2 | | | | | | |
| 0 | -116 | 58 | 2 | | | | | |
| | 1 | -58 | 29 | 2 | | | | |
| | | 0 | -28 | 14 | 2 | | | |
| | | | 1 | -14 | 7 | 2 | | |
| | | | | 0 | -6 | 3 | 2 | |
| | | | | | 1 | -2 | 1 | |
| | | | | | | 1 | | |
|
the result of the conversion was:
46810 = 1110101002
answer: 7248 = 1110101002