This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
Fill in the number with missing zeros on the left
let\'s do a direct translation from binary to hexadecimal like this:
00001000000111112 = 0000 1000 0001 1111 = 0000(=0) 1000(=8) 0001(=1) 1111(=F) = 081F16
answer: 00001000000111112 = 081F16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙215+0∙214+0∙213+0∙212+1∙211+0∙210+0∙29+0∙28+0∙27+0∙26+0∙25+1∙24+1∙23+1∙22+1∙21+1∙20 = 0∙32768+0∙16384+0∙8192+0∙4096+1∙2048+0∙1024+0∙512+0∙256+0∙128+0∙64+0∙32+1∙16+1∙8+1∙4+1∙2+1∙1 = 0+0+0+0+2048+0+0+0+0+0+0+16+8+4+2+1 = 207910
got It: 00001000000111112 =207910
Translate the number 207910 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
2079 | 16 | | |
-2064 | 129 | 16 | |
F | -128 | 8 | |
| 1 | | |
|
the result of the conversion was:
207910 = 81F16
answer: 00001000000111112 = 81F16