let\'s translate to decimal like this:
1∙83+2∙82+3∙81+4∙80+3∙8-1+1∙8-2+7∙8-3+7∙8-4 = 1∙512+2∙64+3∙8+4∙1+3∙0.125+1∙0.015625+7∙0.001953125+7∙0.000244140625 = 512+128+24+4+0.375+0.015625+0.013671875+0.001708984375 = 668.40600585937510
got It: 1234.31778 =668.40600585937510
Translate the number 668.40600585937510 в 4 - false like this:
the Integer part of the number is divided by the base of the new number system:
668 | 4 | | | | |
-668 | 167 | 4 | | | |
0 | -164 | 41 | 4 | | |
| 3 | -40 | 10 | 4 | |
| | 1 | -8 | 2 | |
| | | 2 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 406005859375*4 |
1 | .62402*4 |
2 | .49609*4 |
1 | .98438*4 |
3 | .9375*4 |
3 | .75*4 |
3 | .0*4 |
the result of the conversion was:
668.40600585937510 = 22130.1213334
answer: 1234.31778 = 22130.1213334