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:
C0FFEE16 = C 0 F F E E = C(=1100) 0(=0000) F(=1111) F(=1111) E(=1110) E(=1110) = 1100000011111111111011102
answer: C0FFEE16 = 1100000011111111111011102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
12∙165+0∙164+15∙163+15∙162+14∙161+14∙160 = 12∙1048576+0∙65536+15∙4096+15∙256+14∙16+14∙1 = 12582912+0+61440+3840+224+14 = 1264843010
got It: C0FFEE16 =1264843010
Translate the number 1264843010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
12648430 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
-12648430 | 6324215 | 2 | | | | | | | | | | | | | | | | | | | | | | |
0 | -6324214 | 3162107 | 2 | | | | | | | | | | | | | | | | | | | | | |
| 1 | -3162106 | 1581053 | 2 | | | | | | | | | | | | | | | | | | | | |
| | 1 | -1581052 | 790526 | 2 | | | | | | | | | | | | | | | | | | | |
| | | 1 | -790526 | 395263 | 2 | | | | | | | | | | | | | | | | | | |
| | | | 0 | -395262 | 197631 | 2 | | | | | | | | | | | | | | | | | |
| | | | | 1 | -197630 | 98815 | 2 | | | | | | | | | | | | | | | | |
| | | | | | 1 | -98814 | 49407 | 2 | | | | | | | | | | | | | | | |
| | | | | | | 1 | -49406 | 24703 | 2 | | | | | | | | | | | | | | |
| | | | | | | | 1 | -24702 | 12351 | 2 | | | | | | | | | | | | | |
| | | | | | | | | 1 | -12350 | 6175 | 2 | | | | | | | | | | | | |
| | | | | | | | | | 1 | -6174 | 3087 | 2 | | | | | | | | | | | |
| | | | | | | | | | | 1 | -3086 | 1543 | 2 | | | | | | | | | | |
| | | | | | | | | | | | 1 | -1542 | 771 | 2 | | | | | | | | | |
| | | | | | | | | | | | | 1 | -770 | 385 | 2 | | | | | | | | |
| | | | | | | | | | | | | | 1 | -384 | 192 | 2 | | | | | | | |
| | | | | | | | | | | | | | | 1 | -192 | 96 | 2 | | | | | | |
| | | | | | | | | | | | | | | | 0 | -96 | 48 | 2 | | | | | |
| | | | | | | | | | | | | | | | | 0 | -48 | 24 | 2 | | | | |
| | | | | | | | | | | | | | | | | | 0 | -24 | 12 | 2 | | | |
| | | | | | | | | | | | | | | | | | | 0 | -12 | 6 | 2 | | |
| | | | | | | | | | | | | | | | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | 1 | | |
|
the result of the conversion was:
1264843010 = 1100000011111111111011102
answer: C0FFEE16 = 1100000011111111111011102