Digital Logic · Number Representation and Arithmetic
Official IIT answer key · IIT Kanpur · Audited Aug 2026
GATE CSE 2023 Q45 · 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 IEEE-754 single precision floating point numbers P = 0xC1800000 and Q = 0x3F5C2EF4. Which one of the following corresponds to the product of these numbers (i.e., P Q), represented in the IEEE-754 single precision format?
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