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:
A.816 = A. 8 = A(=1010). 8(=1000) = 1010.12
the Final answer: A.816 = 1010.12
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
10∙160+8∙16-1 = 10∙1+8∙0.0625 = 10+0.5 = 10.510
got It: A.816 =10.510
Translate the number 10.510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
10 | 2 | | | |
-10 | 5 | 2 | | |
0 | -4 | 2 | 2 | |
| 1 | -2 | 1 | |
| | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 5*2 |
1 | .0*2 |
the result of the conversion was:
10.510 = 1010.12
the Final answer: A.816 = 1010.12