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:
5658 = 5 6 5 = 5(=101) 6(=110) 5(=101) = 1011101012
the Final answer: 5658 = 1011101012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
5∙82+6∙81+5∙80 = 5∙64+6∙8+5∙1 = 320+48+5 = 37310
got It: 5658 =37310
Translate the number 37310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
373 | 2 | | | | | | | | |
-372 | 186 | 2 | | | | | | | |
1 | -186 | 93 | 2 | | | | | | |
| 0 | -92 | 46 | 2 | | | | | |
| | 1 | -46 | 23 | 2 | | | | |
| | | 0 | -22 | 11 | 2 | | | |
| | | | 1 | -10 | 5 | 2 | | |
| | | | | 1 | -4 | 2 | 2 | |
| | | | | | 1 | -2 | 1 | |
| | | | | | | 0 | | |
|
the result of the conversion was:
37310 = 1011101012
the Final answer: 5658 = 1011101012