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:
1.716 = 1. 7 = 1(=0001). 7(=0111) = 1.01112
answer: 1.716 = 1.01112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙160+7∙16-1 = 1∙1+7∙0.0625 = 1+0.4375 = 1.437510
got It: 1.716 =1.437510
Translate the number 1.437510 в binary like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 4375*2 |
0 | .875*2 |
1 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
1.437510 = 1.01112
answer: 1.716 = 1.01112