let\'s translate to decimal like this:
2∙5.0000000+1∙5.000000-1+0∙5.000000-2+0∙5.000000-3+0∙5.000000-4+0∙5.000000-5+0∙5.000000-6+0∙5.000000-7+0∙5.000000-8 = 2∙1+1∙0.2+0∙0.04+0∙0.008+0∙0.0016+0∙0.00032+0∙6.4E-5+0∙1.28E-5+0∙2.56E-6 = 2+0.2+0+0+0+0+0+0+0 = 2.210
got It: 2.100000005.000000 =2.210
Translate the number 2.210 в 11.00000000 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 2*11.00000000 |
| 2 | .2*11.00000000 |
| 2 | .2*11.00000000 |
| 2 | .2*11.00000000 |
| 2 | .2*11.00000000 |
| 2 | .2*11.00000000 |
| 2 | .2*11.00000000 |
| 2 | .2*11.00000000 |
| 2 | .2*11.00000000 |
| 2 | .2*11.00000000 |
| 2 | .2*11.00000000 |
the result of the conversion was:
2.210 = 2.222222222211.00000000
the Final answer: 2.100000005.000000 = 2.222222222211.00000000