Question

The sequence of states (\(Q_1 Q_0\)) of the given synchronous sequential circuit is \(\_\_\_\_\). \begin{center} \includegraphics[width=10cm]{42.png} \end{center}

• A. \(00 \to 10 \to 11 \to 00\)
• B. \(11 \to 00 \to 10 \to 01 \to 00\)
• C. \(01 \to 10 \to 11 \to 00 \to 01\)
• D. \(00 \to 01 \to 10 \to 00\)

Hint:

For state transition problems, carefully trace the behavior of flip-flops using their inputs and the current state to predict the sequence of outputs.

Answer 1

The Correct Option is B

Step 1: Understand the flip-flop behavior.
The inputs \(T_1\) and \(T_0\) control the toggle behavior of the flip-flops. Using the state equations, determine how the outputs \(Q_1\) and \(Q_0\) transition from one state to another. Step 2: Simulate state transitions.
Starting with the initial state \(Q_1 Q_0 = 11\), apply the state transition logic to derive the sequence: \[ 11 \to 00 \to 10 \to 01 \to 00. \] Final Answer: \[ \boxed{{(2) } 11 \to 00 \to 10 \to 01 \to 00} \]