Question 2.12: Subtract 010011112 from 011000112 using signed-magnitude ari...
Subtract 01001111_{2} from 01100011_{2} using signed-magnitudearithmetic.
\begin{matrix} \\ 0 \\ 0& \\ 0 \end{matrix} \begin{matrix}\\ \\ \\ − \\ \end{matrix} \begin{array}{r c} \begin{matrix} \\ 1 \\ 1 \end{matrix} & \begin{matrix}0 \\ \sout{1} \\ 0 \end{matrix} & \begin{matrix}1 \\ \sout{0} \\ 0 \end{matrix}& \begin{matrix}1\\ \sout{0} \\1 \end{matrix}&\begin{matrix}2\\ \sout{0} \\1 \end{matrix}& \begin{matrix} \\ 1 \\ 1 \end{matrix}& \begin{matrix}\\ 1\\ 1 \end{matrix}&\\ \hline \begin{matrix} 0\end{matrix}&\begin{matrix} 0\end{matrix} &\begin{matrix}1\end{matrix}&\begin{matrix}0\end{matrix}&\begin{matrix}1\end{matrix} & \begin{matrix}0\end{matrix}&\begin{matrix}0\end{matrix}\end{array} \begin{array}{r c} \begin{matrix}\Leftarrow \text{borrows} \\ (99)\\−(79)\\ \hline \begin{matrix}(20)\end{matrix}\end{matrix}\end{array}
We find 01100011_{2}− 01001111_{2}= 00010100_{2} in signed-magnitude representation.
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