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:
0011.01102 = 0011. 0110 = 0011(=3). 0110(=6) = 3.616
answer: 0011.01102 = 3.616
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+0∙2-1+1∙2-2+1∙2-3+0∙2-4 = 0∙8+0∙4+1∙2+1∙1+0∙0.5+1∙0.25+1∙0.125+0∙0.0625 = 0+0+2+1+0+0.25+0.125+0 = 3.37510
got It: 0011.01102 =3.37510
Translate the number 3.37510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 375*16 |
6 | .0*16 |
the result of the conversion was:
3.37510 = 3.616
answer: 0011.01102 = 3.616