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:
0011.10002 = 0011. 1000 = 0011(=3). 1000(=8) = 3.816
answer: 0011.10002 = 3.816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙23+0∙22+1∙21+1∙20+1∙2-1+0∙2-2+0∙2-3+0∙2-4 = 0∙8+0∙4+1∙2+1∙1+1∙0.5+0∙0.25+0∙0.125+0∙0.0625 = 0+0+2+1+0.5+0+0+0 = 3.510
got It: 0011.10002 =3.510
Translate the number 3.510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 5*16 |
8 | .0*16 |
the result of the conversion was:
3.510 = 3.816
answer: 0011.10002 = 3.816