let\'s translate to decimal like this:
8∙102+0∙101+6∙100+8∙10-1+1∙10-2+2∙10-3+5∙10-4 = 8∙100+0∙10+6∙1+8∙0.1+1∙0.01+2∙0.001+5∙0.0001 = 800+0+6+0.8+0.01+0.002+0.0005 = 806.812510
got It: 806.812510 =806.812510
Translate the number 806.812510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
| 806 | 2 | | | | | | | | | |
| -806 | 403 | 2 | | | | | | | | |
| 0 | -402 | 201 | 2 | | | | | | | |
| 1 | -200 | 100 | 2 | | | | | | |
| | 1 | -100 | 50 | 2 | | | | | |
| | | 0 | -50 | 25 | 2 | | | | |
| | | | 0 | -24 | 12 | 2 | | | |
| | | | | 1 | -12 | 6 | 2 | | |
| | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | 0 | -2 | 1 | |
| | | | | | | | 1 | | |
 |
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 8125*2 |
| 1 | .625*2 |
| 1 | .25*2 |
| 0 | .5*2 |
| 1 | .0*2 |
the result of the conversion was:
806.812510 = 1100100110.11012
the Final answer: 806.812510 = 1100100110.11012