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:
00001110.11002 = 0000 1110. 1100 = 0000(=0) 1110(=E). 1100(=C) = 0E.C16
answer: 00001110.11002 = 0E.C16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+0∙26+0∙25+0∙24+1∙23+1∙22+1∙21+0∙20+1∙2-1+1∙2-2+0∙2-3+0∙2-4 = 0∙128+0∙64+0∙32+0∙16+1∙8+1∙4+1∙2+0∙1+1∙0.5+1∙0.25+0∙0.125+0∙0.0625 = 0+0+0+0+8+4+2+0+0.5+0.25+0+0 = 14.7510
got It: 00001110.11002 =14.7510
Translate the number 14.7510 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:
14.7510 = E.C16
answer: 00001110.11002 = E.C16