let\'s translate to decimal like this:
1∙100+5∙10-1+0∙10-2+0∙10-3+0∙10-4+0∙10-5+0∙10-6 = 1∙1+5∙0.1+0∙0.01+0∙0.001+0∙0.0001+0∙1.0E-5+0∙1.0E-6 = 1+0.5+0+0+0+0+0 = 1.510
got It: 1.50000010 =1.510
Translate the number 1.510 в 10.343750 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
0. | 5*10.343750 |
5 | .17188*10.343750 |
1 | .77783*10.343750 |
8 | .0457*10.343750 |
0 | .47271*10.343750 |
4 | .8896*10.343750 |
9 | .20175*10.343750 |
2 | .08688*10.343750 |
0 | .89867*10.343750 |
9 | .29559*10.343750 |
3 | .05751*10.343750 |
the result of the conversion was:
1.510 = 1.518049209310.343750
the Final answer: 1.50000010 = 1.518049209310.343750