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:
A4693FBC16 = A 4 6 9 3 F B C = A(=1010) 4(=0100) 6(=0110) 9(=1001) 3(=0011) F(=1111) B(=1011) C(=1100) = 101001000110100100111111101111002
answer: A4693FBC16 = 101001000110100100111111101111002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
10∙167+4∙166+6∙165+9∙164+3∙163+15∙162+11∙161+12∙160 = 10∙268435456+4∙16777216+6∙1048576+9∙65536+3∙4096+15∙256+11∙16+12∙1 = 2684354560+67108864+6291456+589824+12288+3840+176+12 = 275836102010
got It: A4693FBC16 =275836102010
Translate the number 275836102010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
2758361020 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-2758361020 | 1379180510 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -1379180510 | 689590255 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -689590254 | 344795127 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 1 | -344795126 | 172397563 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 1 | -172397562 | 86198781 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -86198780 | 43099390 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 1 | -43099390 | 21549695 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -21549694 | 10774847 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 1 | -10774846 | 5387423 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -5387422 | 2693711 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 1 | -2693710 | 1346855 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -1346854 | 673427 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 1 | -673426 | 336713 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -336712 | 168356 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 1 | -168356 | 84178 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -84178 | 42089 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -42088 | 21044 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -21044 | 10522 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -10522 | 5261 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -5260 | 2630 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -2630 | 1315 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 0 | -1314 | 657 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -656 | 328 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -328 | 164 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 0 | -164 | 82 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | -82 | 41 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -40 | 20 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -20 | 10 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -10 | 5 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
275836102010 = 101001000110100100111111101111002
answer: A4693FBC16 = 101001000110100100111111101111002