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.BF8516 = 0. B F 8 5 = 0(=0000). B(=1011) F(=1111) 8(=1000) 5(=0101) = .10111111100001012
answer: 0.BF8516 = .10111111100001012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙160+11∙16-1+15∙16-2+8∙16-3+5∙16-4 = 0∙1+11∙0.0625+15∙0.00390625+8∙0.000244140625+5∙1.52587890625E-5 = 0+0.6875+0.05859375+0.001953125+7.62939453125E-5 = 0.7481231689453110
got It: 0.BF8516 =0.7481231689453110
Translate the number 0.7481231689453110 в binary like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 74812316894531*2 |
1 | .49625*2 |
0 | .99249*2 |
1 | .98499*2 |
1 | .96997*2 |
1 | .93994*2 |
1 | .87988*2 |
1 | .75977*2 |
1 | .51953*2 |
1 | .03906*2 |
0 | .07812*2 |
the result of the conversion was:
0.7481231689453110 = 0.10111111102
answer: 0.BF8516 = 0.10111111102