One's Complement
Explore the concept of one's complement in signed binary numbers. Understand how the sign bit and bit inversion represent positive and negative values. Learn its limitations, such as dual zero representations, and the range of values representable with one's complement notation in computing.
We'll cover the following...
The sign-magnitude representation has limitations, such as the duplication of zero representations and increased complexity in comparison operations. The inversion-based representation overcomes these limitations and simplifies comparison and arithmetic operations.
What is one’s complement?
One’s complement representation is another way of representing signed numbers. A number’s representation in one’s complement has the same number of bits as the original number, plus a bit called the sign bit on the extreme left (the MSB). The sign bit denotes that the number is negative if it is set to , and positive if it is set to . To represent a negative number, the other bits hold the complement of the original number in binary. To represent a positive number, the bits hold the number as it is in binary.
Note: The complement of a binary number is the number with all the individual bits inverted. That means that every turns into a ...