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:
0101.11002 = 0101. 1100 = 0101(=5). 1100(=C) = 5.C16
the Final answer: 0101.11002 = 5.C16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙23+1∙22+0∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+0∙2-4 = 0∙8+1∙4+0∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+0∙0.0625 = 0+4+0+1+0.5+0.25+0+0 = 5.7510
got It: 0101.11002 =5.7510
Translate the number 5.7510 в hexadecimal like this:
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:
5.7510 = 5.C16
the Final answer: 0101.11002 = 5.C16