In 16-bit 2's complement representation, the decimal number -28 is:
Topic-wise GATE CS PYQs with verified steps
GATE CSE 2019 · Q4
Time
Select one answerSingle correct
Solution
Official answer: C) 1111 1111 1110 0100
Number Representation and ArithmeticTo represent in 16-bit 2's complement:
Find the 16-bit binary representation of :
Compute its 1's complement (invert all bits):
Add to get the 2's complement:
This matches option (C).
Try the question first, then check your work.
Examiner trap
Convert to a 16-bit binary number, invert the bits to get the 1's complement, and add 1.
This Number Representation and Arithmetic previous year question is Q4 of the GATE CSE 2019 paper. Find more GATE CSE PYQs on Number Representation and Arithmetic in Digital Logic, or browse all GATE CSE PYQs.
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Number Representation and Arithmetic has 33 GATE CSE PYQs across 20 papers from 2012 to 2026. 13 of them are 1-mark MCQs like this one, and GATE CSE 2019 has 2.
How GATE tests Number Representation and ArithmeticIndependent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.