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:
100110002 = 1001 1000 = 1001(=9) 1000(=8) = 9816
answer: 100110002 = 9816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙27+0∙26+0∙25+1∙24+1∙23+0∙22+0∙21+0∙20 = 1∙128+0∙64+0∙32+1∙16+1∙8+0∙4+0∙2+0∙1 = 128+0+0+16+8+0+0+0 = 15210
got It: 100110002 =15210
Translate the number 15210 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
152 | 16 | |
-144 | 9 | |
8 | | |
|
the result of the conversion was:
15210 = 9816
answer: 100110002 = 9816