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 binary to hexadecimal like this:
1100000011111111111011102 = 1100 0000 1111 1111 1110 1110 = 1100(=C) 0000(=0) 1111(=F) 1111(=F) 1110(=E) 1110(=E) = C0FFEE16
answer: 1100000011111111111011102 = C0FFEE16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙223+1∙222+0∙221+0∙220+0∙219+0∙218+0∙217+0∙216+1∙215+1∙214+1∙213+1∙212+1∙211+1∙210+1∙29+1∙28+1∙27+1∙26+1∙25+0∙24+1∙23+1∙22+1∙21+0∙20 = 1∙8388608+1∙4194304+0∙2097152+0∙1048576+0∙524288+0∙262144+0∙131072+0∙65536+1∙32768+1∙16384+1∙8192+1∙4096+1∙2048+1∙1024+1∙512+1∙256+1∙128+1∙64+1∙32+0∙16+1∙8+1∙4+1∙2+0∙1 = 8388608+4194304+0+0+0+0+0+0+32768+16384+8192+4096+2048+1024+512+256+128+64+32+0+8+4+2+0 = 1264843010
got It: 1100000011111111111011102 =1264843010
Translate the number 1264843010 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
12648430 | 16 | | | | | |
-12648416 | 790526 | 16 | | | | |
E | -790512 | 49407 | 16 | | | |
| E | -49392 | 3087 | 16 | | |
| | F | -3072 | 192 | 16 | |
| | | F | -192 | C | |
| | | | 0 | | |
|
the result of the conversion was:
1264843010 = C0FFEE16
answer: 1100000011111111111011102 = C0FFEE16