let\'s translate to decimal like this:
1∙82+6∙81+5∙80+5∙8-1+4∙8-2 = 1∙64+6∙8+5∙1+5∙0.125+4∙0.015625 = 64+48+5+0.625+0.0625 = 117.687510
got It: 165.548 =117.687510
Translate the number 117.687510 в 2 - false like this:
the Integer part of the number is divided by the base of the new number system:
117 | 2 | | | | | | |
-116 | 58 | 2 | | | | | |
1 | -58 | 29 | 2 | | | | |
| 0 | -28 | 14 | 2 | | | |
| | 1 | -14 | 7 | 2 | | |
| | | 0 | -6 | 3 | 2 | |
| | | | 1 | -2 | 1 | |
| | | | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 6875*2 |
1 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
117.687510 = 1110101.10112
answer: 165.548 = 1110101.10112