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:
4.e716 = 4. e 7 = 4(=0100). e(=1110) 7(=0111) = 100.111001112
answer: 4.e716 = 100.111001112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
4∙160+14∙16-1+7∙16-2 = 4∙1+14∙0.0625+7∙0.00390625 = 4+0.875+0.02734375 = 4.9023437510
got It: 4.e716 =4.9023437510
Translate the number 4.9023437510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
4 | 2 | | |
-4 | 2 | 2 | |
0 | -2 | 1 | |
| 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 90234375*2 |
1 | .80469*2 |
1 | .60938*2 |
1 | .21875*2 |
0 | .4375*2 |
0 | .875*2 |
1 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
4.9023437510 = 100.111001112
answer: 4.e716 = 100.111001112