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:
7bd16 = 7 b d = 7(=0111) b(=1011) d(=1101) = 111101111012
answer: 7bd16 = 111101111012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙162+11∙161+13∙160 = 7∙256+11∙16+13∙1 = 1792+176+13 = 198110
got It: 7bd16 =198110
Translate the number 198110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1981 | 2 | | | | | | | | | | |
-1980 | 990 | 2 | | | | | | | | | |
1 | -990 | 495 | 2 | | | | | | | | |
| 0 | -494 | 247 | 2 | | | | | | | |
| | 1 | -246 | 123 | 2 | | | | | | |
| | | 1 | -122 | 61 | 2 | | | | | |
| | | | 1 | -60 | 30 | 2 | | | | |
| | | | | 1 | -30 | 15 | 2 | | | |
| | | | | | 0 | -14 | 7 | 2 | | |
| | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | 1 | | |
|
the result of the conversion was:
198110 = 111101111012
answer: 7bd16 = 111101111012