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:
2.A16 = 2. A = 2(=0010). A(=1010) = 10.1012
the Final answer: 2.A16 = 10.1012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙160+10∙16-1 = 2∙1+10∙0.0625 = 2+0.625 = 2.62510
got It: 2.A16 =2.62510
Translate the number 2.62510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
2 | 2 | |
-2 | 1 | |
0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
2.62510 = 10.1012
the Final answer: 2.A16 = 10.1012