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:
01111010100001102 = 0111 1010 1000 0110 = 0111(=7) 1010(=A) 1000(=8) 0110(=6) = 7A8616
the Final answer: 01111010100001102 = 7A8616
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙215+1∙214+1∙213+1∙212+1∙211+0∙210+1∙29+0∙28+1∙27+0∙26+0∙25+0∙24+0∙23+1∙22+1∙21+0∙20 = 0∙32768+1∙16384+1∙8192+1∙4096+1∙2048+0∙1024+1∙512+0∙256+1∙128+0∙64+0∙32+0∙16+0∙8+1∙4+1∙2+0∙1 = 0+16384+8192+4096+2048+0+512+0+128+0+0+0+0+4+2+0 = 3136610
got It: 01111010100001102 =3136610
Translate the number 3136610 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
31366 | 16 | | | |
-31360 | 1960 | 16 | | |
6 | -1952 | 122 | 16 | |
| 8 | -112 | 7 | |
| | A | | |
|
the result of the conversion was:
3136610 = 7A8616
the Final answer: 01111010100001102 = 7A8616