let\'s translate to decimal like this:
1∙163+0∙162+1∙161+0∙160+1∙16-1+0∙16-2+1∙16-3 = 1∙4096+0∙256+1∙16+0∙1+1∙0.0625+0∙0.00390625+1∙0.000244140625 = 4096+0+16+0+0.0625+0+0.000244140625 = 4112.06274414062510
got It: 1010.10116 =4112.06274414062510
Translate the number 4112.06274414062510 в 4 - false like this:
the Integer part of the number is divided by the base of the new number system:
4112 | 4 | | | | | | |
-4112 | 1028 | 4 | | | | | |
0 | -1028 | 257 | 4 | | | | |
| 0 | -256 | 64 | 4 | | | |
| | 1 | -64 | 16 | 4 | | |
| | | 0 | -16 | 4 | 4 | |
| | | | 0 | -4 | 1 | |
| | | | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 062744140625*4 |
0 | .25098*4 |
1 | .00391*4 |
0 | .01563*4 |
0 | .0625*4 |
0 | .25*4 |
1 | .0*4 |
the result of the conversion was:
4112.06274414062510 = 1000100.0100014
the Final answer: 1010.10116 = 1000100.0100014