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:
0.10216 = 0. 1 0 2 = 0(=0000). 1(=0001) 0(=0000) 2(=0010) = .000100000012
answer: 0.10216 = .000100000012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙160+1∙16-1+0∙16-2+2∙16-3 = 0∙1+1∙0.0625+0∙0.00390625+2∙0.000244140625 = 0+0.0625+0+0.00048828125 = 0.0629882812510
got It: 0.10216 =0.0629882812510
Translate the number 0.0629882812510 в binary like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 06298828125*2 |
0 | .12598*2 |
0 | .25195*2 |
0 | .50391*2 |
1 | .00781*2 |
0 | .01563*2 |
0 | .03125*2 |
0 | .0625*2 |
0 | .125*2 |
0 | .25*2 |
0 | .5*2 |
the result of the conversion was:
0.0629882812510 = 0.00010000002
answer: 0.10216 = 0.00010000002