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:
19.2516 = 1 9. 2 5 = 1(=0001) 9(=1001). 2(=0010) 5(=0101) = 11001.001001012
the Final answer: 19.2516 = 11001.001001012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙161+9∙160+2∙16-1+5∙16-2 = 1∙16+9∙1+2∙0.0625+5∙0.00390625 = 16+9+0.125+0.01953125 = 25.1445312510
got It: 19.2516 =25.1445312510
Translate the number 25.1445312510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
25 | 2 | | | | |
-24 | 12 | 2 | | | |
1 | -12 | 6 | 2 | | |
| 0 | -6 | 3 | 2 | |
| | 0 | -2 | 1 | |
| | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 14453125*2 |
0 | .28906*2 |
0 | .57813*2 |
1 | .15625*2 |
0 | .3125*2 |
0 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
25.1445312510 = 11001.001001012
the Final answer: 19.2516 = 11001.001001012