Question 7.7: Subtraction Using Two s-Complement Arithmetic Perform the op...

First, we convert 29₁₀ and 27₁₀ to binary form. This yields

29₁₀ = 00011101

and

27₁₀ = 00011011

Next, we find the two’s complement of the subtrahend:

-27₁₀ = 11100101

Finally, we add the numbers to find the result:

\begin{matrix}  & ~~~~~~~~00011101 \\ \mathrm{ignore~carry} & ~~~~+ \underline{11100101}  \\ \mathrm{out~of~sign~bit} & \rightarrow~~~00000010 \end{matrix} ~~~~~  \begin{matrix} ~~~~~~29 \\ +\underline{(-27)}  \\ ~~~~~~~2 \end{matrix}