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:
8d614e16 = 8 d 6 1 4 e = 8(=1000) d(=1101) 6(=0110) 1(=0001) 4(=0100) e(=1110) = 1000110101100001010011102
answer: 8d614e16 = 1000110101100001010011102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
8∙165+13∙164+6∙163+1∙162+4∙161+14∙160 = 8∙1048576+13∙65536+6∙4096+1∙256+4∙16+14∙1 = 8388608+851968+24576+256+64+14 = 926548610
got It: 8d614e16 =926548610
Translate the number 926548610 в binary like this:
the Integer part of the number is divided by the base of the new number system:
9265486 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
-9265486 | 4632743 | 2 | | | | | | | | | | | | | | | | | | | | | | |
0 | -4632742 | 2316371 | 2 | | | | | | | | | | | | | | | | | | | | | |
| 1 | -2316370 | 1158185 | 2 | | | | | | | | | | | | | | | | | | | | |
| | 1 | -1158184 | 579092 | 2 | | | | | | | | | | | | | | | | | | | |
| | | 1 | -579092 | 289546 | 2 | | | | | | | | | | | | | | | | | | |
| | | | 0 | -289546 | 144773 | 2 | | | | | | | | | | | | | | | | | |
| | | | | 0 | -144772 | 72386 | 2 | | | | | | | | | | | | | | | | |
| | | | | | 1 | -72386 | 36193 | 2 | | | | | | | | | | | | | | | |
| | | | | | | 0 | -36192 | 18096 | 2 | | | | | | | | | | | | | | |
| | | | | | | | 1 | -18096 | 9048 | 2 | | | | | | | | | | | | | |
| | | | | | | | | 0 | -9048 | 4524 | 2 | | | | | | | | | | | | |
| | | | | | | | | | 0 | -4524 | 2262 | 2 | | | | | | | | | | | |
| | | | | | | | | | | 0 | -2262 | 1131 | 2 | | | | | | | | | | |
| | | | | | | | | | | | 0 | -1130 | 565 | 2 | | | | | | | | | |
| | | | | | | | | | | | | 1 | -564 | 282 | 2 | | | | | | | | |
| | | | | | | | | | | | | | 1 | -282 | 141 | 2 | | | | | | | |
| | | | | | | | | | | | | | | 0 | -140 | 70 | 2 | | | | | | |
| | | | | | | | | | | | | | | | 1 | -70 | 35 | 2 | | | | | |
| | | | | | | | | | | | | | | | | 0 | -34 | 17 | 2 | | | | |
| | | | | | | | | | | | | | | | | | 1 | -16 | 8 | 2 | | | |
| | | | | | | | | | | | | | | | | | | 1 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
926548610 = 1000110101100001010011102
answer: 8d614e16 = 1000110101100001010011102