Question 2.18: Add 910 to −2310 using one’s complement arithmetic.
Add 9_{10} to −23_{10} using one’s complement arithmetic.
\begin{matrix} \\ \\ \text{The last} \\ \text{carry is zero} \\ \text{so we are done. }& \end{matrix} \begin{matrix} \\ \leftarrow \\ + \end{matrix} \begin{array}{r c} \begin{matrix} \\ \\ 0 \\ 1\end{matrix} & \begin{matrix}\\ \\ 0 \\ 1\end{matrix} & \begin{matrix}\\ \\ 0 \\ 1\end{matrix}& \begin{matrix}\\ \\ 0 \\ 0\end{matrix} &\begin{matrix}\\ \\ 1 \\ 1\end{matrix}& \begin{matrix}\\ \\ 0 \\ 0\end{matrix} &\begin{matrix}\\ \\ 0 \\ 0\end{matrix}&\begin{matrix}\\ \\ 1 \\ 0\end{matrix}&\\ \hline \begin{matrix} 1\end{matrix}&\begin{matrix}1\end{matrix} &\begin{matrix}1\end{matrix} &\begin{matrix}1\end{matrix}&\begin{matrix}0\end{matrix} &\begin{matrix}0\end{matrix}&\begin{matrix}0\end{matrix} &\begin{matrix}1\end{matrix}\end{array} \begin{array}{r c} \begin{matrix}\\ \\ (9)\\+(- 23)\\ \hline \begin{matrix} – 14_{10} \end{matrix}\end{matrix}\end{array}
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