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:
010010110.0012 = 010 010 110. 001 = 010(=2) 010(=2) 110(=6). 001(=1) = 226.18
answer: 010010110.0012 = 226.18
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙28+1∙27+0∙26+0∙25+1∙24+0∙23+1∙22+1∙21+0∙20+0∙2-1+0∙2-2+1∙2-3 = 0∙256+1∙128+0∙64+0∙32+1∙16+0∙8+1∙4+1∙2+0∙1+0∙0.5+0∙0.25+1∙0.125 = 0+128+0+0+16+0+4+2+0+0+0+0.125 = 150.12510
got It: 010010110.0012 =150.12510
Translate the number 150.12510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
150 | 8 | | |
-144 | 18 | 8 | |
6 | -16 | 2 | |
| 2 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 125*8 |
1 | .0*8 |
the result of the conversion was:
150.12510 = 226.18
answer: 010010110.0012 = 226.18