let\'s translate to decimal like this:
1∙168+1∙167+0∙166+1∙165+1∙164+1∙163+0∙162+1∙161+1∙160+1∙16-1+1∙16-2+1∙16-3 = 1∙4294967296+1∙268435456+0∙16777216+1∙1048576+1∙65536+1∙4096+0∙256+1∙16+1∙1+1∙0.0625+1∙0.00390625+1∙0.000244140625 = 4294967296+268435456+0+1048576+65536+4096+0+16+1+0.0625+0.00390625+0.000244140625 = 4564520977.06665039062510
got It: 110111011.11116 =4564520977.06665039062510
Translate the number 4564520977.06665039062510 в 4 - false like this:
the Integer part of the number is divided by the base of the new number system:
4564520977 | 4 | | | | | | | | | | | | | | | | |
-4564520976 | 1141130244 | 4 | | | | | | | | | | | | | | | |
1 | -1141130244 | 285282561 | 4 | | | | | | | | | | | | | | |
| 0 | -285282560 | 71320640 | 4 | | | | | | | | | | | | | |
| | 1 | -71320640 | 17830160 | 4 | | | | | | | | | | | | |
| | | 0 | -17830160 | 4457540 | 4 | | | | | | | | | | | |
| | | | 0 | -4457540 | 1114385 | 4 | | | | | | | | | | |
| | | | | 0 | -1114384 | 278596 | 4 | | | | | | | | | |
| | | | | | 1 | -278596 | 69649 | 4 | | | | | | | | |
| | | | | | | 0 | -69648 | 17412 | 4 | | | | | | | |
| | | | | | | | 1 | -17412 | 4353 | 4 | | | | | | |
| | | | | | | | | 0 | -4352 | 1088 | 4 | | | | | |
| | | | | | | | | | 1 | -1088 | 272 | 4 | | | | |
| | | | | | | | | | | 0 | -272 | 68 | 4 | | | |
| | | | | | | | | | | | 0 | -68 | 17 | 4 | | |
| | | | | | | | | | | | | 0 | -16 | 4 | 4 | |
| | | | | | | | | | | | | | 1 | -4 | 1 | |
| | | | | | | | | | | | | | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 066650390625*4 |
0 | .2666*4 |
1 | .06641*4 |
0 | .26563*4 |
1 | .0625*4 |
0 | .25*4 |
1 | .0*4 |
the result of the conversion was:
4564520977.06665039062510 = 10100010101000101.0101014
answer: 110111011.11116 = 10100010101000101.0101014