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:
ffcfffff16 = f f c f f f f f = f(=1111) f(=1111) c(=1100) f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) = 111111111100111111111111111111112
answer: ffcfffff16 = 111111111100111111111111111111112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
15∙167+15∙166+12∙165+15∙164+15∙163+15∙162+15∙161+15∙160 = 15∙268435456+15∙16777216+12∙1048576+15∙65536+15∙4096+15∙256+15∙16+15∙1 = 4026531840+251658240+12582912+983040+61440+3840+240+15 = 429182156710
got It: ffcfffff16 =429182156710
Translate the number 429182156710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
4291821567 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-4291821566 | 2145910783 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -2145910782 | 1072955391 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 1 | -1072955390 | 536477695 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 1 | -536477694 | 268238847 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 1 | -268238846 | 134119423 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -134119422 | 67059711 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 1 | -67059710 | 33529855 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -33529854 | 16764927 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 1 | -16764926 | 8382463 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -8382462 | 4191231 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 1 | -4191230 | 2095615 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -2095614 | 1047807 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 1 | -1047806 | 523903 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -523902 | 261951 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 1 | -261950 | 130975 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -130974 | 65487 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -65486 | 32743 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -32742 | 16371 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 1 | -16370 | 8185 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 1 | -8184 | 4092 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -4092 | 2046 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 0 | -2046 | 1023 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 0 | -1022 | 511 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -510 | 255 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -254 | 127 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | -126 | 63 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 1 | -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:
429182156710 = 111111111100111111111111111111112
answer: ffcfffff16 = 111111111100111111111111111111112