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
Fill in the number with missing zeros on the right
let\'s make a direct translation from binary to post-binary like this:
001100000.1101100002 = 001 100 000. 110 110 000 = 001(=1) 100(=4) 000(=0). 110(=6) 110(=6) 000(=0) = 140.6608
answer: 01100000.110110002 = 140.6608
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙28+0∙27+1∙26+1∙25+0∙24+0∙23+0∙22+0∙21+0∙20+1∙2-1+1∙2-2+0∙2-3+1∙2-4+1∙2-5+0∙2-6+0∙2-7+0∙2-8+0∙2-9 = 0∙256+0∙128+1∙64+1∙32+0∙16+0∙8+0∙4+0∙2+0∙1+1∙0.5+1∙0.25+0∙0.125+1∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625+0∙0.001953125 = 0+0+64+32+0+0+0+0+0+0.5+0.25+0+0.0625+0.03125+0+0+0+0 = 96.8437510
got It: 001100000.1101100002 =96.8437510
Translate the number 96.8437510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
96 | 8 | | |
-96 | 12 | 8 | |
0 | -8 | 1 | |
| 4 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 84375*8 |
6 | .75*8 |
6 | .0*8 |
the result of the conversion was:
96.8437510 = 140.668
answer: 01100000.110110002 = 140.668