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:
3.516 = 3. 5 = 3(=0011). 5(=0101) = 11.01012
the Final answer: 3.516 = 11.01012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙160+5∙16-1 = 3∙1+5∙0.0625 = 3+0.3125 = 3.312510
got It: 3.516 =3.312510
Translate the number 3.312510 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. | 3125*2 |
0 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
3.312510 = 11.01012
the Final answer: 3.516 = 11.01012