This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from hexadecimal to binary like this:
17EFA16 = 1 7 E F A = 1(=0001) 7(=0111) E(=1110) F(=1111) A(=1010) = 101111110111110102
answer: 17EFA16 = 101111110111110102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙164+7∙163+14∙162+15∙161+10∙160 = 1∙65536+7∙4096+14∙256+15∙16+10∙1 = 65536+28672+3584+240+10 = 9804210
got It: 17EFA16 =9804210
Translate the number 9804210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
98042 | 2 | | | | | | | | | | | | | | | | |
-98042 | 49021 | 2 | | | | | | | | | | | | | | | |
0 | -49020 | 24510 | 2 | | | | | | | | | | | | | | |
| 1 | -24510 | 12255 | 2 | | | | | | | | | | | | | |
| | 0 | -12254 | 6127 | 2 | | | | | | | | | | | | |
| | | 1 | -6126 | 3063 | 2 | | | | | | | | | | | |
| | | | 1 | -3062 | 1531 | 2 | | | | | | | | | | |
| | | | | 1 | -1530 | 765 | 2 | | | | | | | | | |
| | | | | | 1 | -764 | 382 | 2 | | | | | | | | |
| | | | | | | 1 | -382 | 191 | 2 | | | | | | | |
| | | | | | | | 0 | -190 | 95 | 2 | | | | | | |
| | | | | | | | | 1 | -94 | 47 | 2 | | | | | |
| | | | | | | | | | 1 | -46 | 23 | 2 | | | | |
| | | | | | | | | | | 1 | -22 | 11 | 2 | | | |
| | | | | | | | | | | | 1 | -10 | 5 | 2 | | |
| | | | | | | | | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
9804210 = 101111110111110102
answer: 17EFA16 = 101111110111110102