let\'s translate to decimal like this:
5∙10.000000001+0∙10.000000000+4∙10.00000000-1+1∙10.00000000-2+6∙10.00000000-3+6∙10.00000000-4+6∙10.00000000-5+6∙10.00000000-6+6∙10.00000000-7+6∙10.00000000-8+6∙10.00000000-9+6∙10.00000000-10+6∙10.00000000-11+6∙10.00000000-12+6∙10.00000000-13+6∙10.00000000-14+6∙10.00000000-15+6∙10.00000000-16+6∙10.00000000-17+6∙10.00000000-18+6∙10.00000000-19+6∙10.00000000-20+7∙10.00000000-21 = 5∙10+0∙1+4∙0.1+1∙0.01+6∙0.001+6∙0.0001+6∙1.0E-5+6∙1.0E-6+6∙1.0E-7+6∙1.0E-8+6∙1.0E-9+6∙1.0E-10+6∙1.0E-11+6∙1.0E-12+6∙1.0E-13+6∙1.0E-14+6∙1.0E-15+6∙1.0E-16+6∙1.0E-17+6∙1.0E-18+6∙1.0E-19+6∙1.0E-20+7∙1.0E-21 = 50+0+0.4+0.01+0.006+0.0006+6.0E-5+6.0E-6+6.0E-7+6.0E-8+6.0E-9+6.0E-10+6.0E-11+6.0E-12+6.0E-13+6.0E-14+6.0E-15+6.0E-16+6.0E-17+6.0E-18+6.0E-19+6.0E-20+7.0E-21 = 50.4166666666666710
got It: 50.41666666666666666666710.00000000 =50.4166666666666710
Translate the number 50.4166666666666710 в 101.00000000 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 41666666666667*101.00000000 |
| 42 | .08333*101.00000000 |
| 8 | .41667*101.00000000 |
| 42 | .08333*101.00000000 |
| 8 | .41667*101.00000000 |
| 42 | .08337*101.00000000 |
| 8 | .4202*101.00000000 |
| 42 | .44035*101.00000000 |
| 44 | .4751*101.00000000 |
| 47 | .98557*101.00000000 |
| 99 | .54284*101.00000000 |
the result of the conversion was:
50.4166666666666710 = 50.42842842842444799101.00000000
the Final answer: 50.41666666666666666666710.00000000 = 50.42842842842444799101.00000000