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:
74F16 = 7 4 F = 7(=0111) 4(=0100) F(=1111) = 111010011112
answer: 74F16 = 111010011112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙162+4∙161+15∙160 = 7∙256+4∙16+15∙1 = 1792+64+15 = 187110
got It: 74F16 =187110
Translate the number 187110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1871 | 2 | | | | | | | | | | |
-1870 | 935 | 2 | | | | | | | | | |
1 | -934 | 467 | 2 | | | | | | | | |
| 1 | -466 | 233 | 2 | | | | | | | |
| | 1 | -232 | 116 | 2 | | | | | | |
| | | 1 | -116 | 58 | 2 | | | | | |
| | | | 0 | -58 | 29 | 2 | | | | |
| | | | | 0 | -28 | 14 | 2 | | | |
| | | | | | 1 | -14 | 7 | 2 | | |
| | | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | 1 | | |
|
the result of the conversion was:
187110 = 111010011112
answer: 74F16 = 111010011112