One's Complement: Binary -> Integer: Converter of Signed Binary Numbers in One's Complement Representation, Write Them as Decimal System Integer Numbers (in Base Ten). All the Steps Explained in Detail
Convert signed binary numbers in one's complement representation to decimal system (base ten) integers
Binary number's length must be: 2, 4, 8, 16, 32, 64 - or else extra bits on 0 are added in front (to the left).
How to convert a signed binary number in one's complement representation to an integer in base ten:
1) In a signed binary one's complement, first bit (leftmost) indicates the sign, 1 = negative, 0 = positive.
2) Construct the unsigned binary number: flip all the bits in the signed binary one's complement representation (reversing the digits) - replace the bits set on 1 with 0s and the bits on 0 with 1s.
3) Multiply each bit of the binary number by its corresponding power of 2 that its place value represents.
4) Add all the terms up to get the positive integer number in base ten.
5) Adjust the sign of the integer number by the first bit of the initial binary number.