let\'s translate to decimal like this:
1∙26+0∙25+1∙24+0∙23+1∙22+1∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+1∙2-4 = 1∙64+0∙32+1∙16+0∙8+1∙4+1∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+1∙0.0625 = 64+0+16+0+4+2+1+0.5+0.25+0+0.0625 = 87.812510
got It: 1010111.11012 =87.812510
Translate the number 87.812510 в 8 - false like this:
the Integer part of the number is divided by the base of the new number system:
87 | 8 | | |
-80 | 10 | 8 | |
7 | -8 | 1 | |
| 2 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 8125*8 |
6 | .5*8 |
4 | .0*8 |
the result of the conversion was:
87.812510 = 127.648
answer: 1010111.11012 = 127.648