1) For the given waveforms determine the output Q and name the reasons for it. Assume that the Flip- Flop is initially at Reset. CLK (a)

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### Problem Statement

1) For the given waveforms, determine the output Q and name the reasons for it. Assume that the Flip-Flop is initially at Reset.

### Waveform Analysis

The diagram involves three signal lines:

1. **CLK (Clock Signal):**
   - Represented as a series of high (1) and low (0) intervals.
   - The waveform has distinct rising edges labeled 1, 2, 3, 4, and 5.

2. **B (Input Signal B):**
   - Starts low (0) and transitions to high (1) between clock cycles 2 and 3.
 
3. **R (Input Signal R):**
   - Begins low (0), transitions to high (1) between clock cycles 3 and 4, and remains high beyond this interval.

To determine the output Q:

- **Initial Condition:** The Flip-Flop is initially at Reset, meaning Q starts at 0.
- **Clock Cycle 1:** Since both B and R are at 0, Q remains 0.
- **Clock Cycle 2:** B remains 0, no change, so Q remains 0.
- **Clock Cycle 3:** B transitions to 1, potentially affecting Q. But with R at 0, Q remains 0.
- **Clock Cycle 4:** Both B and R are 1, which typically sets Q to 1 if the Flip-Flop is triggered by these conditions.
- **Clock Cycle 5:** B remains high, R remains high, maintaining Q at 1.

### Conclusion

Based on the waveforms and initial conditions, the output Q changes from 0 to 1 at clock cycle 4 and remains 1. The transition occurs because both B and R are high at this cycle, thus setting the Flip-Flop.
Transcribed Image Text:### Problem Statement 1) For the given waveforms, determine the output Q and name the reasons for it. Assume that the Flip-Flop is initially at Reset. ### Waveform Analysis The diagram involves three signal lines: 1. **CLK (Clock Signal):** - Represented as a series of high (1) and low (0) intervals. - The waveform has distinct rising edges labeled 1, 2, 3, 4, and 5. 2. **B (Input Signal B):** - Starts low (0) and transitions to high (1) between clock cycles 2 and 3. 3. **R (Input Signal R):** - Begins low (0), transitions to high (1) between clock cycles 3 and 4, and remains high beyond this interval. To determine the output Q: - **Initial Condition:** The Flip-Flop is initially at Reset, meaning Q starts at 0. - **Clock Cycle 1:** Since both B and R are at 0, Q remains 0. - **Clock Cycle 2:** B remains 0, no change, so Q remains 0. - **Clock Cycle 3:** B transitions to 1, potentially affecting Q. But with R at 0, Q remains 0. - **Clock Cycle 4:** Both B and R are 1, which typically sets Q to 1 if the Flip-Flop is triggered by these conditions. - **Clock Cycle 5:** B remains high, R remains high, maintaining Q at 1. ### Conclusion Based on the waveforms and initial conditions, the output Q changes from 0 to 1 at clock cycle 4 and remains 1. The transition occurs because both B and R are high at this cycle, thus setting the Flip-Flop.
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