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:
10011100010000112 = 1001 1100 0100 0011 = 1001(=9) 1100(=C) 0100(=4) 0011(=3) = 9C4316
answer: 10011100010000112 = 9C4316
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙215+0∙214+0∙213+1∙212+1∙211+1∙210+0∙29+0∙28+0∙27+1∙26+0∙25+0∙24+0∙23+0∙22+1∙21+1∙20 = 1∙32768+0∙16384+0∙8192+1∙4096+1∙2048+1∙1024+0∙512+0∙256+0∙128+1∙64+0∙32+0∙16+0∙8+0∙4+1∙2+1∙1 = 32768+0+0+4096+2048+1024+0+0+0+64+0+0+0+0+2+1 = 4000310
got It: 10011100010000112 =4000310
Translate the number 4000310 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
40003 | 16 | | | |
-40000 | 2500 | 16 | | |
3 | -2496 | 156 | 16 | |
| 4 | -144 | 9 | |
| | C | | |
|
the result of the conversion was:
4000310 = 9C4316
answer: 10011100010000112 = 9C4316