Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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### Timing Diagram for a Falling-Edge-Triggered J-K Flip-Flop

This diagram helps illustrate the behavior of a J-K flip-flop based on given clock, J, and K input signals. The J-K flip-flop is a type of digital storage element that can act as a memory for one bit of information.

#### Components of the Diagram:

1. **Clock Signal**: 
   - The clock line shows a series of square pulses. The transitions from high to low represent the falling edges, which are the triggering events for the J-K flip-flop.

2. **J Signal**: 
   - The J line indicates when the J input is high or low. This signal determines how the flip-flop should behave on the falling edge of the clock signal.

3. **K Signal**:
   - The K line shows when the K input is high or low. Similar to the J input, it influences the state of the flip-flop on the clock's falling edge.

4. **Q Output** (for parts a and b):
   - Two scenarios are tested for the Q output, depending on the initial state of Q.
   - **Scenario (a)**: Q begins at 0.
   - **Scenario (b)**: Q begins at 1.
   - For each clock falling edge, the Q output is updated based on the states of J and K according to the J-K flip-flop truth table.

#### Explanation:

- **State Transitions**:
  - On the falling edge of the clock, the state of Q changes depending on the inputs J and K:
    - **J = 0, K = 0**: No change.
    - **J = 0, K = 1**: Reset Q to 0.
    - **J = 1, K = 0**: Set Q to 1.
    - **J = 1, K = 1**: Toggle Q.

This diagram effectively guides students to understand how the J-K flip-flop changes state concerning the clock edge and the input signals. Filling out the Q lines for each scenario will reinforce understanding of synchronous sequential logic.
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Transcribed Image Text:### Timing Diagram for a Falling-Edge-Triggered J-K Flip-Flop This diagram helps illustrate the behavior of a J-K flip-flop based on given clock, J, and K input signals. The J-K flip-flop is a type of digital storage element that can act as a memory for one bit of information. #### Components of the Diagram: 1. **Clock Signal**: - The clock line shows a series of square pulses. The transitions from high to low represent the falling edges, which are the triggering events for the J-K flip-flop. 2. **J Signal**: - The J line indicates when the J input is high or low. This signal determines how the flip-flop should behave on the falling edge of the clock signal. 3. **K Signal**: - The K line shows when the K input is high or low. Similar to the J input, it influences the state of the flip-flop on the clock's falling edge. 4. **Q Output** (for parts a and b): - Two scenarios are tested for the Q output, depending on the initial state of Q. - **Scenario (a)**: Q begins at 0. - **Scenario (b)**: Q begins at 1. - For each clock falling edge, the Q output is updated based on the states of J and K according to the J-K flip-flop truth table. #### Explanation: - **State Transitions**: - On the falling edge of the clock, the state of Q changes depending on the inputs J and K: - **J = 0, K = 0**: No change. - **J = 0, K = 1**: Reset Q to 0. - **J = 1, K = 0**: Set Q to 1. - **J = 1, K = 1**: Toggle Q. This diagram effectively guides students to understand how the J-K flip-flop changes state concerning the clock edge and the input signals. Filling out the Q lines for each scenario will reinforce understanding of synchronous sequential logic.
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