let\'s translate to decimal like this:
1∙24+0∙23+1∙22+1∙21+0∙20+1∙2-1+0∙2-2+1∙2-3+1∙2-4+0∙2-5+0∙2-6+1∙2-7+1∙2-8+0∙2-9+0∙2-10 = 1∙16+0∙8+1∙4+1∙2+0∙1+1∙0.5+0∙0.25+1∙0.125+1∙0.0625+0∙0.03125+0∙0.015625+1∙0.0078125+1∙0.00390625+0∙0.001953125+0∙0.0009765625 = 16+0+4+2+0+0.5+0+0.125+0.0625+0+0+0.0078125+0.00390625+0+0 = 22.6992187510
got It: 10110.10110011002 =22.6992187510
Translate the number 22.6992187510 в 4 - false like this:
the Integer part of the number is divided by the base of the new number system:
22 | 4 | | |
-20 | 5 | 4 | |
2 | -4 | 1 | |
| 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 69921875*4 |
2 | .79688*4 |
3 | .1875*4 |
0 | .75*4 |
3 | .0*4 |
the result of the conversion was:
22.6992187510 = 112.23034
the Final answer: 10110.10110011002 = 112.23034