11.22 Fill in the timing diagram for a falling-edge-triggered J-K flip-flop. (a) Assume Q begins at 0. Clock (b) Assume Q begins at 1, but Clock, J, and K are the same.
11.22 Fill in the timing diagram for a falling-edge-triggered J-K flip-flop. (a) Assume Q begins at 0. Clock (b) Assume Q begins at 1, but Clock, J, and K are the same.
Introductory Circuit Analysis (13th Edition)
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![**Title: Timing Diagram for Falling-Edge-Triggered J-K Flip-Flop**
**Introduction:**
This exercise focuses on understanding the behavior of a J-K flip-flop triggered by the falling edge of a clock signal.
**Exercise 11.22:**
**Objective:** Fill in the timing diagram for a falling-edge-triggered J-K flip-flop.
**Scenario (a):** Assume the output \( Q \) begins at 0.
**Diagram Explanation:**
- **Clock Signal:**
- The clock signal shown is a square wave with uniform periods of high and low states. This signal triggers the transitions in the J-K flip-flop.
- **J Input:**
- The J input is high during the first and third complete high periods of the clock. It is low during the second and fourth high periods.
- **K Input:**
- The K input is high during the second high period of the clock. It is low during the first, third, and fourth high periods.
- **Q Output:**
- The output \( Q \) is influenced by the values of J and K at the falling edge of the clock signal.
**Scenario (b):** Assume \( Q \) begins at 1, but Clock, \( J \), and \( K \) remain unchanged.
**Learning Outcomes:**
- Understand how the J-K flip-flop toggles based on the values of \( J \) and \( K \) during falling edges of the clock.
- Analyze the changes in output \( Q \) based on initial conditions and input configurations.
This exercise assists in mastering timing analysis and flip-flop behavior, essential for digital circuit design and analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf2a9245-87db-4e54-b147-768ccba693e7%2F38e79361-d038-4d92-b3a6-f887c9c6b1c1%2F4rioxn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Timing Diagram for Falling-Edge-Triggered J-K Flip-Flop**
**Introduction:**
This exercise focuses on understanding the behavior of a J-K flip-flop triggered by the falling edge of a clock signal.
**Exercise 11.22:**
**Objective:** Fill in the timing diagram for a falling-edge-triggered J-K flip-flop.
**Scenario (a):** Assume the output \( Q \) begins at 0.
**Diagram Explanation:**
- **Clock Signal:**
- The clock signal shown is a square wave with uniform periods of high and low states. This signal triggers the transitions in the J-K flip-flop.
- **J Input:**
- The J input is high during the first and third complete high periods of the clock. It is low during the second and fourth high periods.
- **K Input:**
- The K input is high during the second high period of the clock. It is low during the first, third, and fourth high periods.
- **Q Output:**
- The output \( Q \) is influenced by the values of J and K at the falling edge of the clock signal.
**Scenario (b):** Assume \( Q \) begins at 1, but Clock, \( J \), and \( K \) remain unchanged.
**Learning Outcomes:**
- Understand how the J-K flip-flop toggles based on the values of \( J \) and \( K \) during falling edges of the clock.
- Analyze the changes in output \( Q \) based on initial conditions and input configurations.
This exercise assists in mastering timing analysis and flip-flop behavior, essential for digital circuit design and analysis.
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