In which of the following addition problems (using two's complement notation)does an overflow error occur?
A) $\begin{array} { r }
0011 \
+ 1010 \
\hline
\end{array}$
B) $\begin{array} { r }
0100 \
+ 0100 \
\hline
\end{array}$
C) $\begin{array} { r }
1100 \
+ 1100 \
\hline
\end{array}$

Question

In which of the following addition problems (using two's complement notation)does an overflow error occur?
A) $\begin{array} { r } 
0011 \
+ 1010 \
\hline
\end{array}$
B) $\begin{array} { r } 
0100 \
+ 0100 \
\hline
\end{array}$
C) $\begin{array} { r } 
1100 \
+ 1100 \
\hline
\end{array}$

Quizplus · Accepted Answer

In two's complement notation, an overflow error occurs when the most significant bit of the result is different from the two addends' most significant bits. In option B, the most significant bit of the result is different from both addends' most significant bits, indicating an overflow error. Options A and C do not have an overflow error.

In Which of the Following Addition Problems (Using Two's Complement 0011+1010\begin{array} { r } 0011 \\+ 1010 \\\hline\end{array}0011+1010​​

In Which of the Following Addition Problems (Using Two's Complement $\begin{array} { r } 0011 \\+ 1010 \\\hline\end{array}$