let\'s translate to decimal like this:
0∙811+0∙810+1∙89+0∙88+1∙87+0∙86+0∙85+1∙84+1∙83+1∙82+0∙81+0∙80+1∙8-1+0∙8-2+1∙8-3+1∙8-4+1∙8-5+0∙8-6+0∙8-7+0∙8-8 = 0∙8589934592+0∙1073741824+1∙134217728+0∙16777216+1∙2097152+0∙262144+0∙32768+1∙4096+1∙512+1∙64+0∙8+0∙1+1∙0.125+0∙0.015625+1∙0.001953125+1∙0.000244140625+1∙3.0517578125E-5+0∙3.814697265625E-6+0∙4.7683715820312E-7+0∙5.9604644775391E-8 = 0+0+134217728+0+2097152+0+0+4096+512+64+0+0+0.125+0+0.001953125+0.000244140625+3.0517578125E-5+0+0+0 = 136319552.1272277832031210
got It: 001010011100.101110008 =136319552.1272277832031210
Translate the number 136319552.1272277832031210 в 6 - false like this:
the Integer part of the number is divided by the base of the new number system:
136319552 | 6 | | | | | | | | | | |
-136319550 | 22719925 | 6 | | | | | | | | | |
2 | -22719924 | 3786654 | 6 | | | | | | | | |
| 1 | -3786654 | 631109 | 6 | | | | | | | |
| | 0 | -631104 | 105184 | 6 | | | | | | |
| | | 5 | -105180 | 17530 | 6 | | | | | |
| | | | 4 | -17526 | 2921 | 6 | | | | |
| | | | | 4 | -2916 | 486 | 6 | | | |
| | | | | | 5 | -486 | 81 | 6 | | |
| | | | | | | 0 | -78 | 13 | 6 | |
| | | | | | | | 3 | -12 | 2 | |
| | | | | | | | | 1 | | |
 |
the Fractional part of the number is multiplied by the base of the new number system:
 |
0. | 12722778320312*6 |
0 | .76337*6 |
4 | .5802*6 |
3 | .4812*6 |
2 | .88721*6 |
5 | .32324*6 |
1 | .93945*6 |
5 | .63672*6 |
3 | .82031*6 |
4 | .92187*6 |
5 | .53125*6 |
the result of the conversion was:
136319552.1272277832031210 = 21305445012.04325153456
answer: 001010011100.101110008 = 21305445012.04325153456