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:
110101000.0011112 = 110 101 000. 001 111 = 110(=6) 101(=5) 000(=0). 001(=1) 111(=7) = 650.178
answer: 110101000.0011112 = 650.178
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙28+1∙27+0∙26+1∙25+0∙24+1∙23+0∙22+0∙21+0∙20+0∙2-1+0∙2-2+1∙2-3+1∙2-4+1∙2-5+1∙2-6 = 1∙256+1∙128+0∙64+1∙32+0∙16+1∙8+0∙4+0∙2+0∙1+0∙0.5+0∙0.25+1∙0.125+1∙0.0625+1∙0.03125+1∙0.015625 = 256+128+0+32+0+8+0+0+0+0+0+0.125+0.0625+0.03125+0.015625 = 424.23437510
got It: 110101000.0011112 =424.23437510
Translate the number 424.23437510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
424 | 8 | | |
-424 | 53 | 8 | |
0 | -48 | 6 | |
| 5 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 234375*8 |
1 | .875*8 |
7 | .0*8 |
the result of the conversion was:
424.23437510 = 650.178
answer: 110101000.0011112 = 650.178