Question

The output \( Q_{n+1} \) of a JK flip-flop for the input \( J = 1, K = 1 \) is:

• A. 0
• B. 1
• C. \( Q_n \)
• D. \( \overline{Q_n} \)

Hint:

JK Flip-Flop Truth: \( J = K = 1 \Rightarrow \) Toggle state.

Answer 1

The Correct Option is D

A JK flip-flop is a type of bistable multivibrator that has two inputs: J and K, and one output: \( Q \). The next state of the JK flip-flop (\( Q_{n+1} \)) is determined by its current state (\( Q_n \)) and the values of J and K. The characteristic table for a JK flip-flop is as follows:

J	K	\( Q_{n+1} \)
0	0	\( Q_n \)
0	1	0
1	0	1
1	1	\( \overline{Q_n} \)

When both inputs J and K are equal to 1, the JK flip-flop toggles its state. This means that if the current state is \( Q_n \), the next state \( Q_{n+1} \) will be the complement of the current state, expressed as \( \overline{Q_n} \). Therefore, the correct option is \( \overline{Q_n} \).