input 1 1 1 impurtro inio Present State @Find Q 0 4 11 input: 0 a insh Clo inel by 1 inct Next store output JATI Q Q Q 0 11 11 O e 1 0 D 1 O O a-00 b-ol C-11 Implement the circuit using JK-FF's State equations excitation table @minimization on K-map

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## Educational Tutorial on Circuit Implementation

### State Transition Table

| Input | Present State | Next State | Output |
|-------|---------------|------------|--------|
| 0     | 0 0           | 0 0        | 0      |
| 0     | 0 1           | 0 0        | 1      |
| 0     | 1 0           | 0 0        | 0      |
| 0     | 1 1           | 0 1        | 0      |
| 1     | 0 0           | 1 0        | 1      |
| 1     | 0 1           | 1 1        | 1      |
| 1     | 1 0           | 1 1        | 0      |
| 1     | 1 1           | 1 1        | 0      |

Additional Outputs:
- \( a = 00 \)
- \( b = 01 \)
- \( c = 11 \)

### State Transition Diagram

This diagram shows the state transitions based on the input values:

- State \( a_0 \) remains at \( a_0 \) on input 0.
- State \( b_1 \) returns to \( a_0 \) on input 0.
- State \( c_0 \) transitions back to \( a_0 \) and proceeds to \( b_1 \) on specific inputs.

### Steps for Circuit Implementation

1. **Find State Equations:** Derive equations representing the transitions between states.
2. **Excitation Table:** Develop a table to facilitate the understanding of flip-flop inputs required for state changes.
3. **Minimization on K-map:** Simplify the state equations using Karnaugh maps for optimal circuit design.
4. **Circuit Diagram Using 7474 Chip:** Construct the actual circuit diagram employing the 7474 flip-flop chip.

The process involves understanding state transitions, simplifying logic, and implementing the circuit with proper hardware, ensuring efficient design and functionality.
Transcribed Image Text:## Educational Tutorial on Circuit Implementation ### State Transition Table | Input | Present State | Next State | Output | |-------|---------------|------------|--------| | 0 | 0 0 | 0 0 | 0 | | 0 | 0 1 | 0 0 | 1 | | 0 | 1 0 | 0 0 | 0 | | 0 | 1 1 | 0 1 | 0 | | 1 | 0 0 | 1 0 | 1 | | 1 | 0 1 | 1 1 | 1 | | 1 | 1 0 | 1 1 | 0 | | 1 | 1 1 | 1 1 | 0 | Additional Outputs: - \( a = 00 \) - \( b = 01 \) - \( c = 11 \) ### State Transition Diagram This diagram shows the state transitions based on the input values: - State \( a_0 \) remains at \( a_0 \) on input 0. - State \( b_1 \) returns to \( a_0 \) on input 0. - State \( c_0 \) transitions back to \( a_0 \) and proceeds to \( b_1 \) on specific inputs. ### Steps for Circuit Implementation 1. **Find State Equations:** Derive equations representing the transitions between states. 2. **Excitation Table:** Develop a table to facilitate the understanding of flip-flop inputs required for state changes. 3. **Minimization on K-map:** Simplify the state equations using Karnaugh maps for optimal circuit design. 4. **Circuit Diagram Using 7474 Chip:** Construct the actual circuit diagram employing the 7474 flip-flop chip. The process involves understanding state transitions, simplifying logic, and implementing the circuit with proper hardware, ensuring efficient design and functionality.
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