Digital Logic · Number Representation and Arithmetic
Official IIT answer key · IIT Roorkee · Audited Aug 2026
GATE CSE 2026 Set 1 Q36 · MCQ · 2 marks
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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 the real valued variables X, Y and Z represented using the IEEE 754 single-precision floating-point format. The binary representations of X and Y in hexadecimal notation are as follows: X: 35C00000 Y: 34A00000 Let Z = X + Y. Which one of the following is the binary representation of Z, in hexadecimal notation?
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.
