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:
0.5A16 = 0. 5 A = 0(=0000). 5(=0101) A(=1010) = .01011012
answer: 0.5A16 = .01011012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙160+5∙16-1+10∙16-2 = 0∙1+5∙0.0625+10∙0.00390625 = 0+0.3125+0.0390625 = 0.351562510
got It: 0.5A16 =0.351562510
Translate the number 0.351562510 в binary like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 3515625*2 |
0 | .70313*2 |
1 | .40625*2 |
0 | .8125*2 |
1 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
0.351562510 = 0.01011012
answer: 0.5A16 = 0.01011012