let\'s translate to decimal like this:
2∙82+1∙81+7∙80+4∙8-1+4∙8-2 = 2∙64+1∙8+7∙1+4∙0.125+4∙0.015625 = 128+8+7+0.5+0.0625 = 143.562510
got It: 217.448 =143.562510
Translate the number 143.562510 в 5 - false like this:
the Integer part of the number is divided by the base of the new number system:
| 143 | 5 | | | |
| -140 | 28 | 5 | | |
| 3 | -25 | 5 | 5 | |
| 3 | -5 | 1 | |
| | 0 | | |
 |
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 5625*5 |
| 2 | .8125*5 |
| 4 | .0625*5 |
| 0 | .3125*5 |
| 1 | .5625*5 |
| 2 | .8125*5 |
| 4 | .0625*5 |
| 0 | .3125*5 |
| 1 | .5625*5 |
| 2 | .8125*5 |
| 4 | .0625*5 |
the result of the conversion was:
143.562510 = 1033.24012401245
the Final answer: 217.448 = 1033.24012401245