Question

Characteristic equation (\( Q_{next} \)) is provided for the different flip-flops:
(A) \( Q_{next} = S Q + R Q' \)
(B) \( Q_{next} = S Q' + R Q \)
(C) \( Q_{next} = T Q' + T' Q \)
Choose the correct answer from the options given below:

• (A) and (D) only
• (B) and (D) only
• (A) and (C) only
• (C) and (D) only

Hint:

For different types of flip-flops, remember the characteristic equations: - SR Flip-flop: \( Q_{next} = S Q + R Q' \) - JK Flip-flop: \( Q_{next} = T Q' + T' Q \)

Answer 1

The Correct Option is C

Step 1: Understanding the characteristic equations.
The characteristic equation for flip-flops varies depending on the type of flip-flop.
For an SR flip-flop, the equation is \( Q_{next} = S Q + R Q' \), which matches with (A).
For a JK flip-flop, the equation is \( Q_{next} = T Q' + T' Q \), which matches with (C).

Step 2: Conclusion. Thus, the correct answer is (A) and (C) only.
Final Answer: \[ \boxed{(3) \, (A) \text{ and } (C) \text{ only}} \]