Question

What is one’s complement in binary, how can it be used to solve the problems inherent in using signed magnitude to denote negative/positive numbers in binary.

Answer 1

The answer to this question is as follows:

The ones complement is defined as the value obtained by inverting all the bits from the left to right of the binary number

, for example, take one binary number:

5: 0110 when converting into the ones complement it gives the value 1001

the problems over the signed magnitude are having the problems with the signs:

0 represents the positive sign

1 represents the negative sign

but in the ones complement we obtain the negative number by inverting the all the bits of the positive binary number

for example, take 9:

01001 it gives the number +9

when inverting all the bits it gives the value 10110

I think that one's complement doesn't solve the problems of the signed magnitude because both the signed magnitude and the one's complement will have 0 as a positive sign and 1 as the negative sign but this problem will be solved in twos compliment because the 0 doesn't have any sign in the twos compliment