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:
5.8016 = 5. 8 0 = 5(=0101). 8(=1000) 0(=0000) = 101.12
the Final answer: 5.8016 = 101.12
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
5∙160+8∙16-1+0∙16-2 = 5∙1+8∙0.0625+0∙0.00390625 = 5+0.5+0 = 5.510
got It: 5.8016 =5.510
Translate the number 5.510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
5 | 2 | | |
-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:
5.510 = 101.12
the Final answer: 5.8016 = 101.12