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:
77.716 = 7 7. 7 = 7(=0111) 7(=0111). 7(=0111) = 1110111.01112
answer: 77.716 = 1110111.01112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙161+7∙160+7∙16-1 = 7∙16+7∙1+7∙0.0625 = 112+7+0.4375 = 119.437510
got It: 77.716 =119.437510
Translate the number 119.437510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
119 | 2 | | | | | | |
-118 | 59 | 2 | | | | | |
1 | -58 | 29 | 2 | | | | |
| 1 | -28 | 14 | 2 | | | |
| | 1 | -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. | 4375*2 |
0 | .875*2 |
1 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
119.437510 = 1110111.01112
answer: 77.716 = 1110111.01112