Given the following State Diagram, write the equations for the D-Flipflop A, D-Flipflop B, and Output. Please enter the equations in the space provided. AB XY/Z 10/0 00/1 10 00/0 01/1 00/1, 10/1 Output Equation: 01/1, 11/1 D-Flipflop A Input Equation: D-Flipflop B Input Equation: 00 11/0 11 11/1 10/1 01/0, 10/0 01 01/1, 11/0 00/1

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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# Understanding D-Flipflop State Diagram

The diagram provided illustrates a state machine with two D-Flipflops. Here's a breakdown of the elements in the state diagram:

## State Diagram Components

1. **States**:
   - The diagram includes four states represented by circles: **00, 01, 11, and 10**.

2. **Arrows and Transitions**:
   - Arrows indicate transitions between states, described by the input/output notation **XY/Z**, where:
     - **XY**= Input conditions
     - **Z** = Output result

3. **Transitions and Outputs**:
   - **00** to **00**: Input 00/1
   - **00** to **01**: Input 01/0
   - **01** to **11**: Input 10/0
   - **01** to **00**: Input 11/0 
   - **11** to **01**: Input 10/1
   - **11** to **11**: Input 11/0
   - **10** to **10**: Input 00/1, 10/1
   - **10** to **00**: Input 11/0
   - **10** to **11**: Input 01/1

## Tasks

Based on the state diagram, fill in the following equations for the D-Flipflop A, D-Flipflop B, and the Output:

- **D-Flipflop A Input Equation**: Analyze the transitions leading into the states with the current state being 0 or 1, then derive the Boolean equation.
  
- **D-Flipflop B Input Equation**: Similarly, determine the input causing transitions for Flipflop B.

- **Output Equation**: Derive the conditions upon which the output is 0 or 1 based on state transitions.

Enter your equations in the provided spaces.
Transcribed Image Text:# Understanding D-Flipflop State Diagram The diagram provided illustrates a state machine with two D-Flipflops. Here's a breakdown of the elements in the state diagram: ## State Diagram Components 1. **States**: - The diagram includes four states represented by circles: **00, 01, 11, and 10**. 2. **Arrows and Transitions**: - Arrows indicate transitions between states, described by the input/output notation **XY/Z**, where: - **XY**= Input conditions - **Z** = Output result 3. **Transitions and Outputs**: - **00** to **00**: Input 00/1 - **00** to **01**: Input 01/0 - **01** to **11**: Input 10/0 - **01** to **00**: Input 11/0 - **11** to **01**: Input 10/1 - **11** to **11**: Input 11/0 - **10** to **10**: Input 00/1, 10/1 - **10** to **00**: Input 11/0 - **10** to **11**: Input 01/1 ## Tasks Based on the state diagram, fill in the following equations for the D-Flipflop A, D-Flipflop B, and the Output: - **D-Flipflop A Input Equation**: Analyze the transitions leading into the states with the current state being 0 or 1, then derive the Boolean equation. - **D-Flipflop B Input Equation**: Similarly, determine the input causing transitions for Flipflop B. - **Output Equation**: Derive the conditions upon which the output is 0 or 1 based on state transitions. Enter your equations in the provided spaces.
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