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:
1001111101012 = 1001 1111 0101 = 1001(=9) 1111(=F) 0101(=5) = 9F516
answer: 1001111101012 = 9F516
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙211+0∙210+0∙29+1∙28+1∙27+1∙26+1∙25+1∙24+0∙23+1∙22+0∙21+1∙20 = 1∙2048+0∙1024+0∙512+1∙256+1∙128+1∙64+1∙32+1∙16+0∙8+1∙4+0∙2+1∙1 = 2048+0+0+256+128+64+32+16+0+4+0+1 = 254910
got It: 1001111101012 =254910
Translate the number 254910 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
2549 | 16 | | |
-2544 | 159 | 16 | |
5 | -144 | 9 | |
| F | | |
|
the result of the conversion was:
254910 = 9F516
answer: 1001111101012 = 9F516