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:
10110000000100002 = 1011 0000 0001 0000 = 1011(=B) 0000(=0) 0001(=1) 0000(=0) = B01016
answer: 10110000000100002 = B01016
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙215+0∙214+1∙213+1∙212+0∙211+0∙210+0∙29+0∙28+0∙27+0∙26+0∙25+1∙24+0∙23+0∙22+0∙21+0∙20 = 1∙32768+0∙16384+1∙8192+1∙4096+0∙2048+0∙1024+0∙512+0∙256+0∙128+0∙64+0∙32+1∙16+0∙8+0∙4+0∙2+0∙1 = 32768+0+8192+4096+0+0+0+0+0+0+0+16+0+0+0+0 = 4507210
got It: 10110000000100002 =4507210
Translate the number 4507210 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
45072 | 16 | | | |
-45072 | 2817 | 16 | | |
0 | -2816 | 176 | 16 | |
| 1 | -176 | B | |
| | 0 | | |
|
the result of the conversion was:
4507210 = B01016
answer: 10110000000100002 = B01016