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:
39.416 = 3 9. 4 = 3(=0011) 9(=1001). 4(=0100) = 111001.012
the Final answer: 39.416 = 111001.012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙161+9∙160+4∙16-1 = 3∙16+9∙1+4∙0.0625 = 48+9+0.25 = 57.2510
got It: 39.416 =57.2510
Translate the number 57.2510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
57 | 2 | | | | | |
-56 | 28 | 2 | | | | |
1 | -28 | 14 | 2 | | | |
| 0 | -14 | 7 | 2 | | |
| | 0 | -6 | 3 | 2 | |
| | | 1 | -2 | 1 | |
| | | | 1 | | |
|
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:
57.2510 = 111001.012
the Final answer: 39.416 = 111001.012