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:
01111111.11002 = 0111 1111. 1100 = 0111(=7) 1111(=F). 1100(=C) = 7F.C16
answer: 01111111.11002 = 7F.C16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+1∙26+1∙25+1∙24+1∙23+1∙22+1∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+0∙2-4 = 0∙128+1∙64+1∙32+1∙16+1∙8+1∙4+1∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+0∙0.0625 = 0+64+32+16+8+4+2+1+0.5+0.25+0+0 = 127.7510
got It: 01111111.11002 =127.7510
Translate the number 127.7510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
127 | 16 | |
-112 | 7 | |
F | | |
|
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:
127.7510 = 7F.C16
answer: 01111111.11002 = 7F.C16