The state transition diagram for the diagram given is

qImage684057c9cb5c496a6f682c13

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  1. qImage684057c9cb5c496a6f682c14
  2. qImage684057cacb5c496a6f682c15
  3. qImage684057cacb5c496a6f682c16
  4. qImage684057cacb5c496a6f682c17

Answer (Detailed Solution Below)

Option 4 : qImage684057cacb5c496a6f682c17
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Detailed Solution

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Concept:

The circuit contains a T Flip-Flop (TFF) whose T input is selected via a 2:1 MUX. The selection line of the MUX is S.

We know that the behavior of a T Flip-Flop is as follows:

  • If T = 0 → No change in Q (hold state)
  • If T = 1 → Toggle the state of Q

The MUX selects between two inputs: i0 and i1. Let’s assume:

  • i0 = 0 (for S = 0) → T = 0 → Q holds
  • i1 = 1 (for S = 1) → T = 1 → Q toggles

State Behavior:

  • When S = 0 → T = 0 → Q holds its current state
  • When S = 1 → T = 1 → Q toggles (0 ↔ 1)

Transition Summary:

  • If Q = 0 and S = 0 → Q remains 0
  • If Q = 0 and S = 1 → Q toggles to 1
  • If Q = 1 and S = 0 → Q remains 1
  • If Q = 1 and S = 1 → Q toggles to 0

Answer:

Option 4: State transition diagram matches the toggling/hold behavior correctly

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