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:
c00050e16 = c 0 0 0 5 0 e = c(=1100) 0(=0000) 0(=0000) 0(=0000) 5(=0101) 0(=0000) e(=1110) = 11000000000000000101000011102
answer: c00050e16 = 11000000000000000101000011102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
12∙166+0∙165+0∙164+0∙163+5∙162+0∙161+14∙160 = 12∙16777216+0∙1048576+0∙65536+0∙4096+5∙256+0∙16+14∙1 = 201326592+0+0+0+1280+0+14 = 20132788610
got It: c00050e16 =20132788610
Translate the number 20132788610 в binary like this:
the Integer part of the number is divided by the base of the new number system:
201327886 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-201327886 | 100663943 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -100663942 | 50331971 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| 1 | -50331970 | 25165985 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | 1 | -25165984 | 12582992 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | 1 | -12582992 | 6291496 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -6291496 | 3145748 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -3145748 | 1572874 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -1572874 | 786437 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -786436 | 393218 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -393218 | 196609 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -196608 | 98304 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -98304 | 49152 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -49152 | 24576 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -24576 | 12288 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -12288 | 6144 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -6144 | 3072 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -3072 | 1536 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -1536 | 768 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -768 | 384 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -384 | 192 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -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:
20132788610 = 11000000000000000101000011102
answer: c00050e16 = 11000000000000000101000011102