Match the characteristic equations with the corresponding Flip Flop from the dropdown list, where X and Y are excitation input, Q is present state and Q* is next state. C1: Q* = X C2: Q* = XÔQ C3: Q* = ((X+Q}' + Y)' C4: Q* = X.Q' + Y'Q

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### Match the Characteristic Equations with the Corresponding Flip-Flop

In this exercise, you need to match the characteristic equations of different flip-flops with the correct flip-flop type. For each characteristic equation provided, select the corresponding flip-flop from the dropdown list. Let's break down the equations and the notations used:

- **Q**: Present state
- **Q⁺**: Next state
- **X, Y**: Excitation inputs

#### Characteristic Equations:

1. **C1**: \( Q⁺ = X \)
2. **C2**: \( Q⁺ = X \oplus Q \)
3. **C3**: \( Q⁺ = ((X + Q') + Y)' \)
4. **C4**: \( Q⁺ = X \cdot Q' + Y \cdot Q \)

#### Dropdown Selections:

- **C1**: 
  [ Choose ]
  
- **C2**: 
  [ Choose ]
  
- **C3**: 
  [ Choose ]
  
- **C4**: 
  [ Choose ]

Each dropdown list allows you to select a flip-flop type that matches the given characteristic equation. Review the characteristic equations and recall your knowledge of flip-flops to make the correct selection.

#### Explanation:

For each equation:
- \( Q⁺ = X \): This might be a D Flip-Flop.
- \( Q⁺ = X \oplus Q \): This might be a T Flip-Flop, where \( \oplus \) denotes the XOR operation.
- \( Q⁺ = ((X + Q') + Y)' \): This might correspond to a specific type of Flip-Flop, consider the logic expressions.
- \( Q⁺ = X \cdot Q' + Y \cdot Q \): This might indicate a JK Flip-Flop, based on the AND-OR logic.

Make your selection carefully to match each characteristic equation with its correct flip-flop.
Transcribed Image Text:### Match the Characteristic Equations with the Corresponding Flip-Flop In this exercise, you need to match the characteristic equations of different flip-flops with the correct flip-flop type. For each characteristic equation provided, select the corresponding flip-flop from the dropdown list. Let's break down the equations and the notations used: - **Q**: Present state - **Q⁺**: Next state - **X, Y**: Excitation inputs #### Characteristic Equations: 1. **C1**: \( Q⁺ = X \) 2. **C2**: \( Q⁺ = X \oplus Q \) 3. **C3**: \( Q⁺ = ((X + Q') + Y)' \) 4. **C4**: \( Q⁺ = X \cdot Q' + Y \cdot Q \) #### Dropdown Selections: - **C1**: [ Choose ] - **C2**: [ Choose ] - **C3**: [ Choose ] - **C4**: [ Choose ] Each dropdown list allows you to select a flip-flop type that matches the given characteristic equation. Review the characteristic equations and recall your knowledge of flip-flops to make the correct selection. #### Explanation: For each equation: - \( Q⁺ = X \): This might be a D Flip-Flop. - \( Q⁺ = X \oplus Q \): This might be a T Flip-Flop, where \( \oplus \) denotes the XOR operation. - \( Q⁺ = ((X + Q') + Y)' \): This might correspond to a specific type of Flip-Flop, consider the logic expressions. - \( Q⁺ = X \cdot Q' + Y \cdot Q \): This might indicate a JK Flip-Flop, based on the AND-OR logic. Make your selection carefully to match each characteristic equation with its correct flip-flop.
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