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:
1100011110112 = 1100 0111 1011 = 1100(=C) 0111(=7) 1011(=B) = C7B16
answer: 1100011110112 = C7B16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙211+1∙210+0∙29+0∙28+0∙27+1∙26+1∙25+1∙24+1∙23+0∙22+1∙21+1∙20 = 1∙2048+1∙1024+0∙512+0∙256+0∙128+1∙64+1∙32+1∙16+1∙8+0∙4+1∙2+1∙1 = 2048+1024+0+0+0+64+32+16+8+0+2+1 = 319510
got It: 1100011110112 =319510
Translate the number 319510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
3195 | 16 | | |
-3184 | 199 | 16 | |
B | -192 | C | |
| 7 | | |
|
the result of the conversion was:
319510 = C7B16
answer: 1100011110112 = C7B16