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Digital Logic · Number Representation and Arithmetic
Official IIT answer key · IIT Roorkee · Audited Aug 2026
GATE CSE 2026 Set 1 Q22 · MSQ · 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 8-bit signed integers X, Y and Z represented using the sign-magnitude form. The binary representations of X and Y are as follows: X: 10110100 Y: 01001100 Which of the following operations to compute Z result(s) in an arithmetic overflow?
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