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:
3.7516 = 3. 7 5 = 3(=0011). 7(=0111) 5(=0101) = 11.011101012
answer: 3.7516 = 11.011101012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙160+7∙16-1+5∙16-2 = 3∙1+7∙0.0625+5∙0.00390625 = 3+0.4375+0.01953125 = 3.4570312510
got It: 3.7516 =3.4570312510
Translate the number 3.4570312510 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. | 45703125*2 |
0 | .91406*2 |
1 | .82813*2 |
1 | .65625*2 |
1 | .3125*2 |
0 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
3.4570312510 = 11.011101012
answer: 3.7516 = 11.011101012