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
Fill in the number with missing zeros on the right
let\'s do a direct translation from binary to hexadecimal like this:
000110111011.11002 = 0001 1011 1011. 1100 = 0001(=1) 1011(=B) 1011(=B). 1100(=C) = 1BB.C16
answer: 000110111011.11002 = 1BB.C16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+0∙29+1∙28+1∙27+0∙26+1∙25+1∙24+1∙23+0∙22+1∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+0∙2-4 = 0∙2048+0∙1024+0∙512+1∙256+1∙128+0∙64+1∙32+1∙16+1∙8+0∙4+1∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+0∙0.0625 = 0+0+0+256+128+0+32+16+8+0+2+1+0.5+0.25+0+0 = 443.7510
got It: 000110111011.11002 =443.7510
Translate the number 443.7510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
443 | 16 | | |
-432 | 27 | 16 | |
B | -16 | 1 | |
| B | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 75*16 |
C | .0*16 |
the result of the conversion was:
443.7510 = 1BB.C16
answer: 000110111011.11002 = 1BB.C16