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Combinational and Sequential Circuits

GATE CSE 2014 Set 3 · Q8

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Time

Consider the following combinational function block involving four Boolean variables xx, yy, aa, bb where xx, aa, bb are inputs and yy is the output.f (x, y, a, b) { if (x is 1) y = a; else y = b; }Which one of the following digital logic blocks is the most suitable for implementing this function?

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Solution

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Official answer: C) Multiplexor

Combinational and Sequential Circuits

The given function assigns:

  • y=ay = a when x=1x = 1

  • y=by = b when x=0x = 0

This behavior matches a 2-to-1 Multiplexor (MUX), where xx serves as the select input, aa and bb are the data inputs, and yy is the output (y=x⋅a+x‾⋅by = x \cdot a + \overline{x} \cdot b).

  • Full adder performs addition of three binary inputs.

  • Priority encoder outputs the binary representation of the highest-priority active input line.

  • Flip-flop is a sequential storage element, whereas this function is purely combinational.

Therefore, C is the correct option.

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This Combinational and Sequential Circuits previous year question is Q8 of the GATE CSE 2014 Set 3 paper. Find more GATE CSE PYQs on Combinational and Sequential Circuits in Digital Logic, or browse all GATE CSE PYQs.

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Combinational and Sequential Circuits in GATE CSE

Combinational and Sequential Circuits has 32 GATE CSE PYQs across 22 papers from 2011 to 2026. 8 of them are 1-mark MCQs like this one, and GATE CSE 2014 Set 3 has 2.

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GateAI solution cardGATE CSE 2014 Set 3 · Q8 · MCQ

Consider the following combinational function block involving four Boolean variables x, y, a, b where x, a, b are inputs and y is the output. f (x, y, a, b) { if (x is 1) y = a; else y = b; } Which one of the following digital logic blocks is the most suitable for implementing this function?

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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.