let\'s translate to decimal like this:
1∙10.0000000+4∙10.000000-1+5∙10.000000-2+4∙10.000000-3+5∙10.000000-4+4∙10.000000-5+5∙10.000000-6+4∙10.000000-7+5∙10.000000-8+4∙10.000000-9+5∙10.000000-10+4∙10.000000-11+5∙10.000000-12+4∙10.000000-13+5∙10.000000-14+4∙10.000000-15+5∙10.000000-16+4∙10.000000-17+5∙10.000000-18+4∙10.000000-19+5∙10.000000-20+4∙10.000000-21+5∙10.000000-22 = 1∙1+4∙0.1+5∙0.01+4∙0.001+5∙0.0001+4∙1.0E-5+5∙1.0E-6+4∙1.0E-7+5∙1.0E-8+4∙1.0E-9+5∙1.0E-10+4∙1.0E-11+5∙1.0E-12+4∙1.0E-13+5∙1.0E-14+4∙1.0E-15+5∙1.0E-16+4∙1.0E-17+5∙1.0E-18+4∙1.0E-19+5∙1.0E-20+4∙1.0E-21+5∙1.0E-22 = 1+0.4+0.05+0.004+0.0005+4.0E-5+5.0E-6+4.0E-7+5.0E-8+4.0E-9+5.0E-10+4.0E-11+5.0E-12+4.0E-13+5.0E-14+4.0E-15+5.0E-16+4.0E-17+5.0E-18+4.0E-19+5.0E-20+4.0E-21+5.0E-22 = 1.4545454545454510
got It: 1.454545454545454545454510.000000 =1.4545454545454510
Translate the number 1.4545454545454510 в 10.980000000000 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 45454545454545*10.980000000000 |
| 4 | .99091*10.980000000000 |
| A | .88018*10.980000000000 |
| 9 | .6644*10.980000000000 |
| 7 | .29507*10.980000000000 |
| 3 | .23989*10.980000000000 |
| 2 | .63401*10.980000000000 |
| 6 | .9614*10.980000000000 |
| A | .55615*10.980000000000 |
| 6 | .10653*10.980000000000 |
| 1 | .16974*10.980000000000 |
the result of the conversion was:
1.4545454545454510 = 1.4A97326A6110.980000000000
the Final answer: 1.454545454545454545454510.000000 = 1.4A97326A6110.980000000000