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:
7.816 = 7. 8 = 7(=0111). 8(=1000) = 111.12
answer: 7.816 = 111.12
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙160+8∙16-1 = 7∙1+8∙0.0625 = 7+0.5 = 7.510
got It: 7.816 =7.510
Translate the number 7.510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
7 | 2 | | |
-6 | 3 | 2 | |
1 | -2 | 1 | |
| 1 | | |
|
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:
7.510 = 111.12
answer: 7.816 = 111.12