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:
FCFFFFFF16 = F C F F F F F F = F(=1111) C(=1100) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) = 111111001111111111111111111111112
answer: FCFFFFFF16 = 111111001111111111111111111111112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
15∙167+12∙166+15∙165+15∙164+15∙163+15∙162+15∙161+15∙160 = 15∙268435456+12∙16777216+15∙1048576+15∙65536+15∙4096+15∙256+15∙16+15∙1 = 4026531840+201326592+15728640+983040+61440+3840+240+15 = 424463564710
got It: FCFFFFFF16 =424463564710
Translate the number 424463564710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
4244635647 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-4244635646 | 2122317823 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -2122317822 | 1061158911 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 1 | -1061158910 | 530579455 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 1 | -530579454 | 265289727 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 1 | -265289726 | 132644863 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -132644862 | 66322431 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 1 | -66322430 | 33161215 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -33161214 | 16580607 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 1 | -16580606 | 8290303 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -8290302 | 4145151 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 1 | -4145150 | 2072575 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -2072574 | 1036287 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 1 | -1036286 | 518143 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -518142 | 259071 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 1 | -259070 | 129535 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -129534 | 64767 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -64766 | 32383 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -32382 | 16191 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 1 | -16190 | 8095 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 1 | -8094 | 4047 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -4046 | 2023 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -2022 | 1011 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -1010 | 505 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -504 | 252 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -252 | 126 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | -126 | 63 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -62 | 31 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -30 | 15 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -14 | 7 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | | |
|
the result of the conversion was:
424463564710 = 111111001111111111111111111111112
answer: FCFFFFFF16 = 111111001111111111111111111111112