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 hexadecimal to binary like this:
3.F16 = 3. F = 3(=0011). F(=1111) = 11.11112
answer: 3.F16 = 11.11112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙160+15∙16-1 = 3∙1+15∙0.0625 = 3+0.9375 = 3.937510
got It: 3.F16 =3.937510
Translate the number 3.937510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
3 | 2 | |
-2 | 1 | |
1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 9375*2 |
1 | .875*2 |
1 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
3.937510 = 11.11112
answer: 3.F16 = 11.11112