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:
4c16 = 4 c = 4(=0100) c(=1100) = 10011002
answer: 4c16 = 10011002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
4∙161+12∙160 = 4∙16+12∙1 = 64+12 = 7610
got It: 4c16 =7610
Translate the number 7610 в binary like this:
the Integer part of the number is divided by the base of the new number system:
76 | 2 | | | | | | |
-76 | 38 | 2 | | | | | |
0 | -38 | 19 | 2 | | | | |
| 0 | -18 | 9 | 2 | | | |
| | 1 | -8 | 4 | 2 | | |
| | | 1 | -4 | 2 | 2 | |
| | | | 0 | -2 | 1 | |
| | | | | 0 | | |
|
the result of the conversion was:
7610 = 10011002
answer: 4c16 = 10011002