Question 2 # Understanding D-Flipflop State DiagramThe diagram provided illustrates a state machine with two D-Flipflops. Here's a breakdown of the elements in the state diagram:## State Diagram Components1. **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 result3. **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## TasksBased 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.

Truth table for the given state diagram: Present State AB Inputs XY Next State A B Outputs Z 00 00 1 1 1 00 01 0 1 0 00 10 1 1 0 00 11 0 0 1 01 00 0 1 1 01 01 0 1 1 01 10 1 0 0 01 11 1 1 1 10 00 1 1 1 10 01 0 0 1 10 10 0 0 0 10 11 1 0 0 11 00 1 0 1 11 01 1 0 0 11 10 0. 0 0 11 11 0 1 0The next state output for melay machines is the input for the D-flipflop. Input equation for the D-flipflop A: (We can solve directly using boolean algebra or can solve using K-map) Σ(0, 2, 6, 7, 8, 11, 12, 13) A = A'B'Y'+A'BX+ABX'+AX'Y'+AB'XY Input equation for the D-flipflop B: (We can solve directly using boolean algebra or can solve using K-map) Σ(0, 1, 2, 4, 5, 7, 8, 15) B = A'X'+A'B'Y'+B'X'Y'+BY Equation for output: (We can solve directly using boolean algebra or can solve using K-map) Σ(0, 3, 4, 5, 7, 8, 9, 12) Z = X'Y'+AB'X'+A'BY+A'XYThe final required equations are: D-Flipflop A Input Equation = A'B'Y'+A'BX+ABX'+AX'Y'+AB'XY D-Flipflop B Input Equation = A'X'+A'B'Y'+B'X'Y'+BY Output Equation (Z) = X'Y'+AB'X'+A'BY+A'XY

Engineering

Computer Science

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

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

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Question 2

# 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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