Digital Logic · Combinational and Sequential Circuits

Official IIT answer key · IIT Guwahati · Audited Aug 2026

GATE CSE 2025 Set 1 Q59 · NAT · 2 marks

Consider a finite state machine (FSM) with one input $X$ and one output $f$ , represented by the given state transition table. The minimum number of states required to realize this FSM is _______. (Answer in integer)

Numerical answer

Enter a value to check

Key concept

Combinational and Sequential Circuits

Step-by-step verified solution

Examiner trap & misconception

Topic notes

How GATE tests Combinational and Sequential Circuits

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.

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

Digital Logic · Combinational and Sequential Circuits

Official IIT answer key · IIT Guwahati · Audited Aug 2026

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GATE CSE 2025 Set 1 Q59 · NAT · 2 marks

Consider a finite state machine (FSM) with one input $X$ and one output $f$ , represented by the given state transition table. The minimum number of states required to realize this FSM is _______. (Answer in integer)

Numerical answer

Enter a value to check

Key concept

Combinational and Sequential Circuits

Step-by-step verified solution

Examiner trap & misconception

Topic notes

How GATE tests Combinational and Sequential Circuits

Full Combinational and Sequential Circuits guide →

More on Combinational and Sequential Circuits

All 32 questions on Combinational and Sequential Circuits →

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

Consider a finite state machine (FSM) with one input $X$ and one output $f$ , represented by the given state transition table. The minimum number of states required to realize this FSM is _______. (Answer in integer)

Step-by-step verified solution

Check you can still solve Combinational and Sequential Circuits under a clock

More from GATE CSE 2025 Set 1

More on Combinational and Sequential Circuits

Consider a finite state machine (FSM) with one input $X$ and one output $f$ , represented by the given state transition table. The minimum number of states required to realize this FSM is _______. (Answer in integer)

Step-by-step verified solution

Check you can still solve Combinational and Sequential Circuits under a clock

More from GATE CSE 2025 Set 1

More on Combinational and Sequential Circuits

Consider a finite state machine (FSM) with one input XXX and one output fff, represented by the given state transition table. The minimum number of states required to realize this FSM is _______. (Answer in integer)

Step-by-step verified solution

Check you can still solve Combinational and Sequential Circuits under a clock

More from GATE CSE 2025 Set 1

More on Combinational and Sequential Circuits

Share this solution

Consider a finite state machine (FSM) with one input XXX and one output fff, represented by the given state transition table. The minimum number of states required to realize this FSM is _______. (Answer in integer)

Step-by-step verified solution

Check you can still solve Combinational and Sequential Circuits under a clock

More from GATE CSE 2025 Set 1

More on Combinational and Sequential Circuits

Share this solution

Consider a finite state machine (FSM) with one input $X$ and one output $f$ , represented by the given state transition table. The minimum number of states required to realize this FSM is _______. (Answer in integer)

Consider a finite state machine (FSM) with one input $X$ and one output $f$ , represented by the given state transition table. The minimum number of states required to realize this FSM is _______. (Answer in integer)