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:
8D16 = 8 D = 8(=1000) D(=1101) = 100011012
answer: 8D16 = 100011012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
8∙161+13∙160 = 8∙16+13∙1 = 128+13 = 14110
got It: 8D16 =14110
Translate the number 14110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
| 141 | 2 | | | | | | | |
| -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:
14110 = 100011012
answer: 8D16 = 100011012