let\'s translate to decimal like this:
1∙4.00000+2∙4.0000-1+0∙4.0000-2+0∙4.0000-3+0∙4.0000-4+0∙4.0000-5+0∙4.0000-6 = 1∙1+2∙0.25+0∙0.0625+0∙0.015625+0∙0.00390625+0∙0.0009765625+0∙0.000244140625 = 1+0.5+0+0+0+0+0 = 1.510
got It: 1.2000004.0000 =1.510
Translate the number 1.510 в 11.0000000000016666 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 5*11.0000000000016666 |
| 5 | .5*11.0000000000016666 |
| 5 | .5*11.0000000000016666 |
| 5 | .5*11.0000000000016666 |
| 5 | .5*11.0000000000016666 |
| 5 | .5*11.0000000000016666 |
| 5 | .5*11.0000000000016666 |
| 5 | .5*11.0000000000016666 |
| 5 | .50002*11.0000000000016666 |
| 5 | .5002*11.0000000000016666 |
| 5 | .50216*11.0000000000016666 |
the result of the conversion was:
1.510 = 1.555555555511.0000000000016666
the Final answer: 1.2000004.0000 = 1.555555555511.0000000000016666