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:
327.7812516 = 3 2 7. 7 8 1 2 5 = 3(=0011) 2(=0010) 7(=0111). 7(=0111) 8(=1000) 1(=0001) 2(=0010) 5(=0101) = 1100100111.011110000001001001012
answer: 327.7812516 = 1100100111.011110000001001001012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙162+2∙161+7∙160+7∙16-1+8∙16-2+1∙16-3+2∙16-4+5∙16-5 = 3∙256+2∙16+7∙1+7∙0.0625+8∙0.00390625+1∙0.000244140625+2∙1.52587890625E-5+5∙9.5367431640625E-7 = 768+32+7+0.4375+0.03125+0.000244140625+3.0517578125E-5+4.7683715820312E-6 = 807.4690294265747110
got It: 327.7812516 =807.4690294265747110
Translate the number 807.4690294265747110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
807 | 2 | | | | | | | | | |
-806 | 403 | 2 | | | | | | | | |
1 | -402 | 201 | 2 | | | | | | | |
| 1 | -200 | 100 | 2 | | | | | | |
| | 1 | -100 | 50 | 2 | | | | | |
| | | 0 | -50 | 25 | 2 | | | | |
| | | | 0 | -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. | 46902942657471*2 |
0 | .93806*2 |
1 | .87612*2 |
1 | .75224*2 |
1 | .50447*2 |
1 | .00894*2 |
0 | .01788*2 |
0 | .03577*2 |
0 | .07153*2 |
0 | .14307*2 |
0 | .28613*2 |
the result of the conversion was:
807.4690294265747110 = 1100100111.01111000002
answer: 327.7812516 = 1100100111.01111000002