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:
0001000011112 = 0001 0000 1111 = 0001(=1) 0000(=0) 1111(=F) = 10F16
answer: 0001000011112 = 10F16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+0∙29+1∙28+0∙27+0∙26+0∙25+0∙24+1∙23+1∙22+1∙21+1∙20 = 0∙2048+0∙1024+0∙512+1∙256+0∙128+0∙64+0∙32+0∙16+1∙8+1∙4+1∙2+1∙1 = 0+0+0+256+0+0+0+0+8+4+2+1 = 27110
got It: 0001000011112 =27110
Translate the number 27110 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
271 | 16 | | |
-256 | 16 | 16 | |
F | -16 | 1 | |
| 0 | | |
|
the result of the conversion was:
27110 = 10F16
answer: 0001000011112 = 10F16