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:
0011111001012 = 0011 1110 0101 = 0011(=3) 1110(=E) 0101(=5) = 3E516
answer: 0011111001012 = 3E516
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+1∙29+1∙28+1∙27+1∙26+1∙25+0∙24+0∙23+1∙22+0∙21+1∙20 = 0∙2048+0∙1024+1∙512+1∙256+1∙128+1∙64+1∙32+0∙16+0∙8+1∙4+0∙2+1∙1 = 0+0+512+256+128+64+32+0+0+4+0+1 = 99710
got It: 0011111001012 =99710
Translate the number 99710 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
997 | 16 | | |
-992 | 62 | 16 | |
5 | -48 | 3 | |
| E | | |
|
the result of the conversion was:
99710 = 3E516
answer: 0011111001012 = 3E516