Determine the output waveform for Q. Initially, Q = 0. CLK 1 0 1 1 ঠCLK o

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**Title: Understanding D Flip-Flop Output Waveform**

**Introduction:**

This educational piece explains how to determine the output waveform of a D flip-flop circuit, given a specific input waveform. 

**Diagram Explanation:**

The diagram includes three key elements:

1. **D Flip-Flop Circuit:**
   - A standard logic circuit diagram of a D flip-flop is provided. It consists of:
     - A data input (D).
     - A clock input (CLK).
     - An output (Q) and its complement (\(\overline{Q}\)).

2. **Waveforms:**
   - The input and output waveforms for the clock (CLK), data (D), and output (Q) are depicted.

**Waveform Analysis:**

- **Clock (CLK) Signal:**
  - The clock signal is a square wave oscillating between high (1) and low (0) states.
  - It serves as the timing reference for the flip-flop operation.

- **Data (D) Signal:**
  - The data signal transitions from low (0) to high (1) shortly after the first clock pulse and remains high until just before the fifth clock pulse, where it transitions back to low (0).

- **Output (Q) Signal:**
  - The initial state is low (0).
  - The output (Q) changes state only on the rising edges of the CLK, capturing the value of D at that instance.
  - As a result, Q goes high (1) at the second clock pulse (since D was high at that time) and remains high through the subsequent pulses until the fifth clock pulse, where it goes low (0) reflecting the change in D.

**Conclusion:**

By analyzing the timing of the clock and the data inputs, we can predict the behavior of the flip-flop output. This understanding is crucial in designing synchronous digital circuits.
Transcribed Image Text:**Title: Understanding D Flip-Flop Output Waveform** **Introduction:** This educational piece explains how to determine the output waveform of a D flip-flop circuit, given a specific input waveform. **Diagram Explanation:** The diagram includes three key elements: 1. **D Flip-Flop Circuit:** - A standard logic circuit diagram of a D flip-flop is provided. It consists of: - A data input (D). - A clock input (CLK). - An output (Q) and its complement (\(\overline{Q}\)). 2. **Waveforms:** - The input and output waveforms for the clock (CLK), data (D), and output (Q) are depicted. **Waveform Analysis:** - **Clock (CLK) Signal:** - The clock signal is a square wave oscillating between high (1) and low (0) states. - It serves as the timing reference for the flip-flop operation. - **Data (D) Signal:** - The data signal transitions from low (0) to high (1) shortly after the first clock pulse and remains high until just before the fifth clock pulse, where it transitions back to low (0). - **Output (Q) Signal:** - The initial state is low (0). - The output (Q) changes state only on the rising edges of the CLK, capturing the value of D at that instance. - As a result, Q goes high (1) at the second clock pulse (since D was high at that time) and remains high through the subsequent pulses until the fifth clock pulse, where it goes low (0) reflecting the change in D. **Conclusion:** By analyzing the timing of the clock and the data inputs, we can predict the behavior of the flip-flop output. This understanding is crucial in designing synchronous digital circuits.
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