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:
11712516 = 1 1 7 1 2 5 = 1(=0001) 1(=0001) 7(=0111) 1(=0001) 2(=0010) 5(=0101) = 1000101110001001001012
answer: 11712516 = 1000101110001001001012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙165+1∙164+7∙163+1∙162+2∙161+5∙160 = 1∙1048576+1∙65536+7∙4096+1∙256+2∙16+5∙1 = 1048576+65536+28672+256+32+5 = 114307710
got It: 11712516 =114307710
Translate the number 114307710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1143077 | 2 | | | | | | | | | | | | | | | | | | | | |
-1143076 | 571538 | 2 | | | | | | | | | | | | | | | | | | | |
1 | -571538 | 285769 | 2 | | | | | | | | | | | | | | | | | | |
| 0 | -285768 | 142884 | 2 | | | | | | | | | | | | | | | | | |
| | 1 | -142884 | 71442 | 2 | | | | | | | | | | | | | | | | |
| | | 0 | -71442 | 35721 | 2 | | | | | | | | | | | | | | | |
| | | | 0 | -35720 | 17860 | 2 | | | | | | | | | | | | | | |
| | | | | 1 | -17860 | 8930 | 2 | | | | | | | | | | | | | |
| | | | | | 0 | -8930 | 4465 | 2 | | | | | | | | | | | | |
| | | | | | | 0 | -4464 | 2232 | 2 | | | | | | | | | | | |
| | | | | | | | 1 | -2232 | 1116 | 2 | | | | | | | | | | |
| | | | | | | | | 0 | -1116 | 558 | 2 | | | | | | | | | |
| | | | | | | | | | 0 | -558 | 279 | 2 | | | | | | | | |
| | | | | | | | | | | 0 | -278 | 139 | 2 | | | | | | | |
| | | | | | | | | | | | 1 | -138 | 69 | 2 | | | | | | |
| | | | | | | | | | | | | 1 | -68 | 34 | 2 | | | | | |
| | | | | | | | | | | | | | 1 | -34 | 17 | 2 | | | | |
| | | | | | | | | | | | | | | 0 | -16 | 8 | 2 | | | |
| | | | | | | | | | | | | | | | 1 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
114307710 = 1000101110001001001012
answer: 11712516 = 1000101110001001001012