let\'s translate to decimal like this:
13∙163+11∙162+5∙161+6∙160+12∙16-1+13∙16-2+4∙16-3 = 13∙4096+11∙256+5∙16+6∙1+12∙0.0625+13∙0.00390625+4∙0.000244140625 = 53248+2816+80+6+0.75+0.05078125+0.0009765625 = 56150.801757812510
got It: DB56.CD416 =56150.801757812510
Translate the number 56150.801757812510 в 4 - false like this:
the Integer part of the number is divided by the base of the new number system:
56150 | 4 | | | | | | | |
-56148 | 14037 | 4 | | | | | | |
2 | -14036 | 3509 | 4 | | | | | |
| 1 | -3508 | 877 | 4 | | | | |
| | 1 | -876 | 219 | 4 | | | |
| | | 1 | -216 | 54 | 4 | | |
| | | | 3 | -52 | 13 | 4 | |
| | | | | 2 | -12 | 3 | |
| | | | | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 8017578125*4 |
3 | .20703*4 |
0 | .82813*4 |
3 | .3125*4 |
1 | .25*4 |
1 | .0*4 |
the result of the conversion was:
56150.801757812510 = 31231112.303114
answer: DB56.CD416 = 31231112.303114