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:
00010110111100012 = 0001 0110 1111 0001 = 0001(=1) 0110(=6) 1111(=F) 0001(=1) = 16F116
answer: 00010110111100012 = 16F116
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙215+0∙214+0∙213+1∙212+0∙211+1∙210+1∙29+0∙28+1∙27+1∙26+1∙25+1∙24+0∙23+0∙22+0∙21+1∙20 = 0∙32768+0∙16384+0∙8192+1∙4096+0∙2048+1∙1024+1∙512+0∙256+1∙128+1∙64+1∙32+1∙16+0∙8+0∙4+0∙2+1∙1 = 0+0+0+4096+0+1024+512+0+128+64+32+16+0+0+0+1 = 587310
got It: 00010110111100012 =587310
Translate the number 587310 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
5873 | 16 | | | |
-5872 | 367 | 16 | | |
1 | -352 | 22 | 16 | |
| F | -16 | 1 | |
| | 6 | | |
|
the result of the conversion was:
587310 = 16F116
answer: 00010110111100012 = 16F116