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:
ABCD1616 = A B C D 1 6 = A(=1010) B(=1011) C(=1100) D(=1101) 1(=0001) 6(=0110) = 1010101111001101000101102
answer: ABCD1616 = 1010101111001101000101102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
10∙165+11∙164+12∙163+13∙162+1∙161+6∙160 = 10∙1048576+11∙65536+12∙4096+13∙256+1∙16+6∙1 = 10485760+720896+49152+3328+16+6 = 1125915810
got It: ABCD1616 =1125915810
Translate the number 1125915810 в binary like this:
the Integer part of the number is divided by the base of the new number system:
11259158 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
-11259158 | 5629579 | 2 | | | | | | | | | | | | | | | | | | | | | | |
0 | -5629578 | 2814789 | 2 | | | | | | | | | | | | | | | | | | | | | |
| 1 | -2814788 | 1407394 | 2 | | | | | | | | | | | | | | | | | | | | |
| | 1 | -1407394 | 703697 | 2 | | | | | | | | | | | | | | | | | | | |
| | | 0 | -703696 | 351848 | 2 | | | | | | | | | | | | | | | | | | |
| | | | 1 | -351848 | 175924 | 2 | | | | | | | | | | | | | | | | | |
| | | | | 0 | -175924 | 87962 | 2 | | | | | | | | | | | | | | | | |
| | | | | | 0 | -87962 | 43981 | 2 | | | | | | | | | | | | | | | |
| | | | | | | 0 | -43980 | 21990 | 2 | | | | | | | | | | | | | | |
| | | | | | | | 1 | -21990 | 10995 | 2 | | | | | | | | | | | | | |
| | | | | | | | | 0 | -10994 | 5497 | 2 | | | | | | | | | | | | |
| | | | | | | | | | 1 | -5496 | 2748 | 2 | | | | | | | | | | | |
| | | | | | | | | | | 1 | -2748 | 1374 | 2 | | | | | | | | | | |
| | | | | | | | | | | | 0 | -1374 | 687 | 2 | | | | | | | | | |
| | | | | | | | | | | | | 0 | -686 | 343 | 2 | | | | | | | | |
| | | | | | | | | | | | | | 1 | -342 | 171 | 2 | | | | | | | |
| | | | | | | | | | | | | | | 1 | -170 | 85 | 2 | | | | | | |
| | | | | | | | | | | | | | | | 1 | -84 | 42 | 2 | | | | | |
| | | | | | | | | | | | | | | | | 1 | -42 | 21 | 2 | | | | |
| | | | | | | | | | | | | | | | | | 0 | -20 | 10 | 2 | | | |
| | | | | | | | | | | | | | | | | | | 1 | -10 | 5 | 2 | | |
| | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
1125915810 = 1010101111001101000101102
answer: ABCD1616 = 1010101111001101000101102