Digital Logic · Number Representation and Arithmetic
Official IIT answer key · IIT Guwahati · Audited Aug 2026
GATE CSE 2025 Set 2 Q49 · MSQ · 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 →Three floating point numbers X, Y, and Z are stored in three registers Rx, RY, and RZ, respectively in IEEE 754 single precision format as given below in hexadecimal: Rx = 0xC1100000, RY = 0x40C00000, and RZ = 0x41400000 Which of the following option(s) is/are CORRECT?
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.
