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:
3358 = 3 3 5 = 3(=011) 3(=011) 5(=101) = 0110111012
answer: 3358 = 110111012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙82+3∙81+5∙80 = 3∙64+3∙8+5∙1 = 192+24+5 = 22110
got It: 3358 =22110
Translate the number 22110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
221 | 2 | | | | | | | |
-220 | 110 | 2 | | | | | | |
1 | -110 | 55 | 2 | | | | | |
| 0 | -54 | 27 | 2 | | | | |
| | 1 | -26 | 13 | 2 | | | |
| | | 1 | -12 | 6 | 2 | | |
| | | | 1 | -6 | 3 | 2 | |
| | | | | 0 | -2 | 1 | |
| | | | | | 1 | | |
|
the result of the conversion was:
22110 = 110111012
answer: 3358 = 110111012