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Digital Logic · Number Representation and Arithmetic
Official IIT answer key · IIT Roorkee · Audited Aug 2026
GATE CSE 2026 Set 2 Q28 · MSQ · 1 mark
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Topic notes
Number representation and arithmetic in GATE CS tests a student's precise understanding of positional number systems, fixed-point signed representations (2's complement, 1's complement, sign-magnitude), and IEEE 754 floating-point standards. Questions consistently balance direct conversions, range and boundary condition calculations, and arithmetic overflow detection across single and multi-register operations. Recent years exhibit a marked transition toward testing multi-register algebraic relationships and MSQ-based overflow condition checking.
Full Number Representation and Arithmetic guide →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?
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.