List of top Computer Organization and Architecture Questions on Number Representation - Sign-Magnitude Arithmetic and Overflow asked in GATE CS

In a system, numbers are represented using 4-bit two's complement form. Consider four numbers \(N1 = 1011\), \(N2 = 1101\), \(N3 = 1010\) and \(N4 = 1001\) in the system. Which of the following operations will result in arithmetic overflow?

Consider the 8-bit signed integers \( X, Y \) and \( Z \) represented using the sign-magnitude form. The binary representations of \( X \) and \( Y \) are as follows:

\[ X: 10110100 \qquad Y: 01001100 \]

Which of the following operations to compute \( Z \) result(s) in an arithmetic overflow?