This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
Fill in the number with missing zeros on the left
let\'s make a direct translation from binary to post-binary like this:
0010000111002 = 001 000 011 100 = 001(=1) 000(=0) 011(=3) 100(=4) = 10348
answer: 10000111002 = 10348
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+1∙29+0∙28+0∙27+0∙26+0∙25+1∙24+1∙23+1∙22+0∙21+0∙20 = 0∙2048+0∙1024+1∙512+0∙256+0∙128+0∙64+0∙32+1∙16+1∙8+1∙4+0∙2+0∙1 = 0+0+512+0+0+0+0+16+8+4+0+0 = 54010
got It: 0010000111002 =54010
Translate the number 54010 в octal like this:
the Integer part of the number is divided by the base of the new number system:
540 | 8 | | | |
-536 | 67 | 8 | | |
4 | -64 | 8 | 8 | |
| 3 | -8 | 1 | |
| | 0 | | |
|
the result of the conversion was:
54010 = 10348
answer: 10000111002 = 10348