let\'s translate to decimal like this:
4∙51+0∙50+2∙5-1+2∙5-2+2∙5-3+2∙5-4+2∙5-5+2∙5-6 = 4∙5+0∙1+2∙0.2+2∙0.04+2∙0.008+2∙0.0016+2∙0.00032+2∙6.4E-5 = 20+0+0.4+0.08+0.016+0.0032+0.00064+0.000128 = 20.49996810
got It: 40.2222225 =20.49996810
Translate the number 20.49996810 в binary like this:
the Integer part of the number is divided by the base of the new number system:
20 | 2 | | | | |
-20 | 10 | 2 | | | |
0 | -10 | 5 | 2 | | |
| 0 | -4 | 2 | 2 | |
| | 1 | -2 | 1 | |
| | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 499968*2 |
0 | .99994*2 |
1 | .99987*2 |
1 | .99974*2 |
1 | .99949*2 |
1 | .99898*2 |
1 | .99795*2 |
1 | .9959*2 |
1 | .99181*2 |
1 | .98362*2 |
1 | .96723*2 |
the result of the conversion was:
20.49996810 = 10100.01111111112
answer: 40.2222225 = 10100.01111111112