Fill in the following timing diagram for a rising-edge-triggered T flip-flop with an asynchronous active-low PreN input. Assume Q begins at 1. Clock PreN T

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**Title: Understanding a Timing Diagram for a Rising-Edge-Triggered T Flip-Flop**

This educational exercise involves analyzing a timing diagram for a rising-edge-triggered T flip-flop with an asynchronous active-low PreN input. The initial condition is that Q begins at 1.

**Description of Timing Diagram:**

1. **Clock Signal:**
   - The clock signal is a periodic square wave that alternates between high and low states. Each rising edge is crucial as it triggers the flip-flop.

2. **PreN Signal:**
   - The PreN (Preset) signal is active-low, meaning it is active when it is in a low state. This signal overrides other inputs and directly sets the Q output.

3. **T (Toggle) Input:**
   - The T input determines whether the Q output toggles on each rising edge of the clock. When T is high, Q toggles; when T is low, Q remains in its current state.

4. **Q Output:**
   - The Q output represents the flip-flop's state. It is initially set to 1 as per the given condition.

**Analysis:**

- Under normal operation (PreN = high), the Q output toggles on every rising edge of the clock if T is high.
- When PreN goes low, Q is immediately set to high, regardless of the clock or T inputs.
- The timing diagram provides visual representation for these signals over time, illustrating their interactions and behaviors for analysis.

By examining the transitions within this timing diagram, students can gain a deeper understanding of how T flip-flops operate within digital circuits.
Transcribed Image Text:**Title: Understanding a Timing Diagram for a Rising-Edge-Triggered T Flip-Flop** This educational exercise involves analyzing a timing diagram for a rising-edge-triggered T flip-flop with an asynchronous active-low PreN input. The initial condition is that Q begins at 1. **Description of Timing Diagram:** 1. **Clock Signal:** - The clock signal is a periodic square wave that alternates between high and low states. Each rising edge is crucial as it triggers the flip-flop. 2. **PreN Signal:** - The PreN (Preset) signal is active-low, meaning it is active when it is in a low state. This signal overrides other inputs and directly sets the Q output. 3. **T (Toggle) Input:** - The T input determines whether the Q output toggles on each rising edge of the clock. When T is high, Q toggles; when T is low, Q remains in its current state. 4. **Q Output:** - The Q output represents the flip-flop's state. It is initially set to 1 as per the given condition. **Analysis:** - Under normal operation (PreN = high), the Q output toggles on every rising edge of the clock if T is high. - When PreN goes low, Q is immediately set to high, regardless of the clock or T inputs. - The timing diagram provides visual representation for these signals over time, illustrating their interactions and behaviors for analysis. By examining the transitions within this timing diagram, students can gain a deeper understanding of how T flip-flops operate within digital circuits.
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