You specified that your number is in the additional code. For further conversion, you need to get a direct number code. Therefore, let\'s perform the conversion from additional code to direct code.
to do this, first perform the conversion from the additional code to the reverse by subtracting 1 bit, then get the direct code by inverting all the bits except the signed one.
| | | . | | |
| 1 | 1 | 1 | 0 | twos-complement |
| | - | 1 | -1 bit |
| 1 | 1 | 0 | 1 | ones complement |
| 1 | 0 | 1 | 0 | direct code |
got It:1010
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 binary to hexadecimal like this:
1010.101010002 = 1010. 1010 1000 = 1010(=A). 1010(=A) 1000(=8) = A.A816
the Final answer: 1010.101010002 = A.A816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙23+0∙22+1∙21+0∙20+1∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6+0∙2-7+0∙2-8 = 1∙8+0∙4+1∙2+0∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625 = 8+0+2+0+0.5+0+0.125+0+0.03125+0+0+0 = 10.6562510
got It: 1010.101010002 =10.6562510
Translate the number 10.6562510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 65625*16 |
| A | .5*16 |
| 8 | .0*16 |
the result of the conversion was:
10.6562510 = A.A816
the Final answer: 1010.101010002 = A.A816