### Completing the Characteristic Table for a Flip-Flop CircuitIn this task, we are asked to fill in the characteristic table for a given digital circuit involving logic gates and flip-flops. The characteristic table is a tool that helps us understand the state transitions of the circuit over time.### Circuit DescriptionThe circuit diagram provided contains the following components:- An OR gate.- A JK flip-flop labeled A.- A D flip-flop labeled B.- Connecting wires indicating the flow of the signal.### Components Explanation**OR Gate:**- The OR gate has two inputs: \( X \) and an unknown signal.**JK Flip-Flop:**- The JK flip-flop has inputs J and K and output \( Q \), which is labeled as \( A \) in the diagram.- The next state \( A(t+1) \) is determined by the inputs J and K according to the functioning of the JK flip-flop: - J = 0, K = 0 → No Change - J = 0, K = 1 → Reset - J = 1, K = 0 → Set - J = 1, K = 1 → Toggle**D Flip-Flop:**- The D flip-flop has input D and output \( Q \), labeled as \( B \).- The next state \( B(t+1) \) is directly determined by the input: - \( B(t+1) = D \)### Completing the TableWe need to fill in the characteristic table based on the states of the flip-flops and the input signal \( X \):| X | A(t) | B(t) | A(t+1) | B(t+1) ||:-:|:----:|:----:|:------:|:------:|| 0 | 1 | 1 | ? | ? || 1 | 0 | 1 | ? | ? |### Detailed Analysis1. **For \( X = 0, A(t) = 1, B(t) = 1 \):** - Output of the OR gate is \( 0 OR 1 = 1 \). - JK Flip-flop: - Input J is connected to \( B \); J =

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Complete the following characteristic table for the circuit below: You need explain how you got the answers. A(t) B(t) A(t+1) B(t+1) 1 1 1 A В

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Question

### Completing the Characteristic Table for a Flip-Flop Circuit

In this task, we are asked to fill in the characteristic table for a given digital circuit involving logic gates and flip-flops. The characteristic table is a tool that helps us understand the state transitions of the circuit over time.

### Circuit Description

The circuit diagram provided contains the following components:
- An OR gate.
- A JK flip-flop labeled A.
- A D flip-flop labeled B.
- Connecting wires indicating the flow of the signal.

### Components Explanation

**OR Gate:**
- The OR gate has two inputs: \( X \) and an unknown signal.

**JK Flip-Flop:**
- The JK flip-flop has inputs J and K and output \( Q \), which is labeled as \( A \) in the diagram.
- The next state \( A(t+1) \) is determined by the inputs J and K according to the functioning of the JK flip-flop:
- J = 0, K = 0 → No Change
- J = 0, K = 1 → Reset
- J = 1, K = 0 → Set
- J = 1, K = 1 → Toggle

**D Flip-Flop:**
- The D flip-flop has input D and output \( Q \), labeled as \( B \).
- The next state \( B(t+1) \) is directly determined by the input:
- \( B(t+1) = D \)

### Completing the Table

We need to fill in the characteristic table based on the states of the flip-flops and the input signal \( X \):

| X | A(t) | B(t) | A(t+1) | B(t+1) |
|:-:|:----:|:----:|:------:|:------:|
| 0 | 1 | 1 | ? | ? |
| 1 | 0 | 1 | ? | ? |

### Detailed Analysis

1. **For \( X = 0, A(t) = 1, B(t) = 1 \):**
- Output of the OR gate is \( 0 OR 1 = 1 \).
- JK Flip-flop:
- Input J is connected to \( B \); J =

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