let\'s translate to decimal like this:
2∙152+1∙151+10∙150 = 2∙225+1∙15+10∙1 = 450+15+10 = 47510
got It: 21A15 =47510
Translate the number 47510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
475 | 2 | | | | | | | | |
-474 | 237 | 2 | | | | | | | |
1 | -236 | 118 | 2 | | | | | | |
| 1 | -118 | 59 | 2 | | | | | |
| | 0 | -58 | 29 | 2 | | | | |
| | | 1 | -28 | 14 | 2 | | | |
| | | | 1 | -14 | 7 | 2 | | |
| | | | | 0 | -6 | 3 | 2 | |
| | | | | | 1 | -2 | 1 | |
| | | | | | | 1 | | |
|
the result of the conversion was:
47510 = 1110110112
the Final answer: 21A15 = 1110110112