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:
0011110010011112 = 001 111 001 001 111 = 001(=1) 111(=7) 001(=1) 001(=1) 111(=7) = 171178
answer: 11110010011112 = 171178
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙214+0∙213+1∙212+1∙211+1∙210+1∙29+0∙28+0∙27+1∙26+0∙25+0∙24+1∙23+1∙22+1∙21+1∙20 = 0∙16384+0∙8192+1∙4096+1∙2048+1∙1024+1∙512+0∙256+0∙128+1∙64+0∙32+0∙16+1∙8+1∙4+1∙2+1∙1 = 0+0+4096+2048+1024+512+0+0+64+0+0+8+4+2+1 = 775910
got It: 0011110010011112 =775910
Translate the number 775910 в octal like this:
the Integer part of the number is divided by the base of the new number system:
7759 | 8 | | | | |
-7752 | 969 | 8 | | | |
7 | -968 | 121 | 8 | | |
| 1 | -120 | 15 | 8 | |
| | 1 | -8 | 1 | |
| | | 7 | | |
|
the result of the conversion was:
775910 = 171178
answer: 11110010011112 = 171178