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:
AEDCF4516 = A E D C F 4 5 = A(=1010) E(=1110) D(=1101) C(=1100) F(=1111) 4(=0100) 5(=0101) = 10101110110111001111010001012
answer: AEDCF4516 = 10101110110111001111010001012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
10∙166+14∙165+13∙164+12∙163+15∙162+4∙161+5∙160 = 10∙16777216+14∙1048576+13∙65536+12∙4096+15∙256+4∙16+5∙1 = 167772160+14680064+851968+49152+3840+64+5 = 18335725310
got It: AEDCF4516 =18335725310
Translate the number 18335725310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
183357253 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-183357252 | 91678626 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -91678626 | 45839313 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -45839312 | 22919656 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | 1 | -22919656 | 11459828 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -11459828 | 5729914 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -5729914 | 2864957 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -2864956 | 1432478 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -1432478 | 716239 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -716238 | 358119 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -358118 | 179059 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | 1 | -179058 | 89529 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -89528 | 44764 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | 1 | -44764 | 22382 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -22382 | 11191 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -11190 | 5595 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -5594 | 2797 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -2796 | 1398 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -1398 | 699 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -698 | 349 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | 1 | -348 | 174 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -174 | 87 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | 0 | -86 | 43 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -42 | 21 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -20 | 10 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -10 | 5 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
18335725310 = 10101110110111001111010001012
answer: AEDCF4516 = 10101110110111001111010001012