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:
0.1A16 = 0. 1 A = 0(=0000). 1(=0001) A(=1010) = .00011012
answer: 0.1A16 = .00011012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙160+1∙16-1+10∙16-2 = 0∙1+1∙0.0625+10∙0.00390625 = 0+0.0625+0.0390625 = 0.101562510
got It: 0.1A16 =0.101562510
Translate the number 0.101562510 в binary like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 1015625*2 |
0 | .20313*2 |
0 | .40625*2 |
0 | .8125*2 |
1 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
0.101562510 = 0.00011012
answer: 0.1A16 = 0.00011012