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:
11101100101010012 = 1110 1100 1010 1001 = 1110(=E) 1100(=C) 1010(=A) 1001(=9) = ECA916
answer: 11101100101010012 = ECA916
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙215+1∙214+1∙213+0∙212+1∙211+1∙210+0∙29+0∙28+1∙27+0∙26+1∙25+0∙24+1∙23+0∙22+0∙21+1∙20 = 1∙32768+1∙16384+1∙8192+0∙4096+1∙2048+1∙1024+0∙512+0∙256+1∙128+0∙64+1∙32+0∙16+1∙8+0∙4+0∙2+1∙1 = 32768+16384+8192+0+2048+1024+0+0+128+0+32+0+8+0+0+1 = 6058510
got It: 11101100101010012 =6058510
Translate the number 6058510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
60585 | 16 | | | |
-60576 | 3786 | 16 | | |
9 | -3776 | 236 | 16 | |
| A | -224 | E | |
| | C | | |
|
the result of the conversion was:
6058510 = ECA916
answer: 11101100101010012 = ECA916