A J-K flip-flop with J = 1 and K = 1 has a 20 kHz clock input. The Q output is ________a 20 kHz square wavea 10 kHz square waveconstantly HIGHconstantly LOW

Step 1: Break Down the Problem

We need to analyze the behavior of a J-K flip-flop with specific inputs:

• J = 1
• K = 1
• Clock Input Frequency = 20 kHz

Step 2: Relevant Concepts

A J-K flip-flop has the following behavior based on its inputs:

• If both J and K are 1, the flip-flop toggles its state on each clock pulse.
• The output frequency of the flip-flop will be half of the input clock frequency when it toggles on every clock pulse.

Step 3: Analysis and Detail

1. Clock Input Frequency: The clock input frequency is given as 20 kHz.
2. Toggle Condition: Since both J and K are 1, the flip-flop will toggle its state with each clock pulse.
3. Output Frequency Calculation: The output frequency can be calculated as follows: $f_{out} = \frac{f_{clock}}{2} = \frac{20 \text{ kHz}}{2} = 10 \text{ kHz}$

Step 4: Verify and Summarize

Since the J-K flip-flop toggles its state for every clock pulse and the clock input is 20 kHz, the output will indeed be a square wave with half the frequency of the input clock. The output is therefore:

Final Answer

The Q output is a 10 kHz square wave.