Question
If $m$ is a positive integer less than $2^{n-1}$ , how is the one's complement representation of $-m$ obtained from the one's complement of $m,$ when bit strings of length $n$ are used?
Step 1
The one's complement of a binary number is obtained by changing all ones to zeros and all zeros to ones. This is also known as bitwise NOT operation. Show more…
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Show that the integer $m$ with two's complement representation $\left(a_{n-1} a_{n-2} \ldots a_{1} a_{0}\right)$ can be found using the equation $m=-a_{n-1} \cdot 2^{n-1}+a_{n-2} 2^{n-2}+\cdots+a_{1} \cdot 2+a_{0}$.
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