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:
cfffffff16 = c f f f f f f f = c(=1100) f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) = 110011111111111111111111111111112
answer: cfffffff16 = 110011111111111111111111111111112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
12∙167+15∙166+15∙165+15∙164+15∙163+15∙162+15∙161+15∙160 = 12∙268435456+15∙16777216+15∙1048576+15∙65536+15∙4096+15∙256+15∙16+15∙1 = 3221225472+251658240+15728640+983040+61440+3840+240+15 = 348966092710
got It: cfffffff16 =348966092710
Translate the number 348966092710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
3489660927 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-3489660926 | 1744830463 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -1744830462 | 872415231 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 1 | -872415230 | 436207615 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 1 | -436207614 | 218103807 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 1 | -218103806 | 109051903 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -109051902 | 54525951 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 1 | -54525950 | 27262975 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -27262974 | 13631487 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 1 | -13631486 | 6815743 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -6815742 | 3407871 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 1 | -3407870 | 1703935 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -1703934 | 851967 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 1 | -851966 | 425983 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -425982 | 212991 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 1 | -212990 | 106495 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -106494 | 53247 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -53246 | 26623 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -26622 | 13311 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 1 | -13310 | 6655 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 1 | -6654 | 3327 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -3326 | 1663 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -1662 | 831 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -830 | 415 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -414 | 207 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -206 | 103 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | -102 | 51 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 1 | -50 | 25 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -24 | 12 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -12 | 6 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | | |
|
the result of the conversion was:
348966092710 = 110011111111111111111111111111112
answer: cfffffff16 = 110011111111111111111111111111112