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Digital Logic · Number Representation and Arithmetic
Official IIT answer key · IIT Kanpur · Audited Aug 2026
GATE CSE 2015 Set 3 Q35 · NAT · 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 the equation (43)x = (y3)8 where x and y are unknown. The number of possible solutions is …
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