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:
52.516 = 5 2. 5 = 5(=0101) 2(=0010). 5(=0101) = 1010010.01012
answer: 52.516 = 1010010.01012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
5∙161+2∙160+5∙16-1 = 5∙16+2∙1+5∙0.0625 = 80+2+0.3125 = 82.312510
got It: 52.516 =82.312510
Translate the number 82.312510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
82 | 2 | | | | | | |
-82 | 41 | 2 | | | | | |
0 | -40 | 20 | 2 | | | | |
| 1 | -20 | 10 | 2 | | | |
| | 0 | -10 | 5 | 2 | | |
| | | 0 | -4 | 2 | 2 | |
| | | | 1 | -2 | 1 | |
| | | | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 3125*2 |
0 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
82.312510 = 1010010.01012
answer: 52.516 = 1010010.01012