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The digital logic shown in the figure satisfies the given state diagram when $Q_{1}$ is connected to input $A$ of the XOR gate.

Suppose the XOR gate is replaced by an XNOR gate. Which one of the following options preserves the state diagram?

  1. Input $A$ is connected to $\overline{Q_{2}}$
  2. Input $A$ is connected to $Q_{2}$
  3. Input $A$ is connected to $\overline{Q_{1}}$ and $S$ is complemented
  4. Input $A$ is connected to $\overline{Q_{1}}$
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