1. Is this a positive or a negative number?
0011 1001 is the binary representation of a positive integer, on 8 bits.
In a signed binary in one's complement representation, the first bit (the leftmost) indicates the sign, 1 = negative, 0 = positive.
2. Get the binary representation of the positive (unsigned) number.
* Run this step only if the number is negative *
Flip all the bits of the signed binary in one's complement representation (reverse the digits) - replace the bits set on 1 with 0s and the bits on 0 with 1s:
* Not the case - the number is positive *
3. Map the unsigned binary number's digits versus the corresponding powers of 2 that their place value represent:
27
0 26
0 25
1 24
1 23
1 22
0 21
0 20
1
0011 1001(2) = 57(10)
The signed binary number in one's complement representation 0011 1001(2) converted and written as an integer in decimal system (base ten):
0011 1001(2) = 57(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.