let\'s translate to decimal like this:
0∙311+0∙310+0∙39+1∙38+0∙37+1∙36+0∙35+0∙34+1∙33+0∙32+1∙31+0∙30+1∙3-1+0∙3-2+0∙3-3+1∙3-4+0∙3-5+1∙3-6+0∙3-7+0∙3-8 = 0∙177147+0∙59049+0∙19683+1∙6561+0∙2187+1∙729+0∙243+0∙81+1∙27+0∙9+1∙3+0∙1+1∙0.33333333333333+0∙0.11111111111111+0∙0.037037037037037+1∙0.012345679012346+0∙0.0041152263374486+1∙0.0013717421124829+0∙0.00045724737082762+0∙0.00015241579027587 = 0+0+0+6561+0+729+0+0+27+0+3+0+0.33333333333333+0+0+0.012345679012346+0+0.0013717421124829+0+0 = 7320.3470507544581610
got It: 000101001010.100101003 =7320.3470507544581610
Translate the number 7320.3470507544581610 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
7320 | 16 | | | |
-7312 | 457 | 16 | | |
8 | -448 | 28 | 16 | |
| 9 | -16 | 1 | |
| | C | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 34705075445816*16 |
5 | .55281*16 |
8 | .84499*16 |
D | .51989*16 |
8 | .31824*16 |
5 | .09191*16 |
1 | .47051*16 |
7 | .52812*16 |
8 | .44992*16 |
7 | .19878*16 |
3 | .18042*16 |
the result of the conversion was:
7320.3470507544581610 = 1C98.58D851787316
answer: 000101001010.100101003 = 1C98.58D851787316