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:
5FC16 = 5 F C = 5(=0101) F(=1111) C(=1100) = 101111111002
answer: 5FC16 = 101111111002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
5∙162+15∙161+12∙160 = 5∙256+15∙16+12∙1 = 1280+240+12 = 153210
got It: 5FC16 =153210
Translate the number 153210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1532 | 2 | | | | | | | | | | |
-1532 | 766 | 2 | | | | | | | | | |
0 | -766 | 383 | 2 | | | | | | | | |
| 0 | -382 | 191 | 2 | | | | | | | |
| | 1 | -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:
153210 = 101111111002
answer: 5FC16 = 101111111002