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:
10.416 = 1 0. 4 = 1(=0001) 0(=0000). 4(=0100) = 10000.012
answer: 10.416 = 10000.012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙161+0∙160+4∙16-1 = 1∙16+0∙1+4∙0.0625 = 16+0+0.25 = 16.2510
got It: 10.416 =16.2510
Translate the number 16.2510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
16 | 2 | | | | |
-16 | 8 | 2 | | | |
0 | -8 | 4 | 2 | | |
| 0 | -4 | 2 | 2 | |
| | 0 | -2 | 1 | |
| | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
16.2510 = 10000.012
answer: 10.416 = 10000.012