Digital Logic · Number Representation and Arithmetic
Official IIT answer key · IISc Bangalore · Audited Aug 2026
GATE CSE 2024 Set 1 Q13 · MCQ · 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 →Consider a system that uses 5 bits for representing signed integers in 2’s complement format. In this system, two integers A and B are represented as A=01010 and B=11010. Which one of the following operations will result in either an arithmetic overflow or an arithmetic underflow?
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.
