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:
1111100110012 = 1111 1001 1001 = 1111(=F) 1001(=9) 1001(=9) = F9916
the Final answer: 1111100110012 = F9916
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙211+1∙210+1∙29+1∙28+1∙27+0∙26+0∙25+1∙24+1∙23+0∙22+0∙21+1∙20 = 1∙2048+1∙1024+1∙512+1∙256+1∙128+0∙64+0∙32+1∙16+1∙8+0∙4+0∙2+1∙1 = 2048+1024+512+256+128+0+0+16+8+0+0+1 = 399310
got It: 1111100110012 =399310
Translate the number 399310 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
3993 | 16 | | |
-3984 | 249 | 16 | |
9 | -240 | F | |
| 9 | | |
|
the result of the conversion was:
399310 = F9916
the Final answer: 1111100110012 = F9916