Digital Logic · Combinational and Sequential Circuits
Official IIT answer key · IIT Kharagpur · Audited Aug 2026
GATE CSE 2014 Set 3 Q8 · MCQ · 1 mark
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?Key concept
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Topic notes
GATE extensively tests combinational and sequential circuit design through both analytical tracing and formal synthesis. In combinational circuits, questions focus on multiplexer tree implementations, decoder-to-memory interfacing, and Boolean function realization using universal MUX/decoder blocks. In sequential logic, the focus is on synchronous counter state tracing, excitation equation derivation (for D, T, and JK flip-flops), non-standard sequence flip-flop counting, ripple counter frequency division, and FSM equivalence minimization.
Full Combinational and Sequential Circuits guide →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.