This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s make a direct translation from binary to post-binary like this:
0111111112 = 011 111 111 = 011(=3) 111(=7) 111(=7) = 3778
answer: 0111111112 = 3778
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙28+1∙27+1∙26+1∙25+1∙24+1∙23+1∙22+1∙21+1∙20 = 0∙256+1∙128+1∙64+1∙32+1∙16+1∙8+1∙4+1∙2+1∙1 = 0+128+64+32+16+8+4+2+1 = 25510
got It: 0111111112 =25510
Translate the number 25510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
255 | 8 | | |
-248 | 31 | 8 | |
7 | -24 | 3 | |
| 7 | | |
|
the result of the conversion was:
25510 = 3778
answer: 0111111112 = 3778