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:
5.0E716 = 5. 0 E 7 = 5(=0101). 0(=0000) E(=1110) 7(=0111) = 101.0000111001112
answer: 5.0E716 = 101.0000111001112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
5∙160+0∙16-1+14∙16-2+7∙16-3 = 5∙1+0∙0.0625+14∙0.00390625+7∙0.000244140625 = 5+0+0.0546875+0.001708984375 = 5.05639648437510
got It: 5.0E716 =5.05639648437510
Translate the number 5.05639648437510 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. | 056396484375*2 |
0 | .11279*2 |
0 | .22559*2 |
0 | .45117*2 |
0 | .90234*2 |
1 | .80469*2 |
1 | .60938*2 |
1 | .21875*2 |
0 | .4375*2 |
0 | .875*2 |
1 | .75*2 |
the result of the conversion was:
5.05639648437510 = 101.00001110012
answer: 5.0E716 = 101.00001110012