The D flip-flop is created by connecting two gated D latches serially, and inverting the CLK input to one of them. The following figure shows the internal circuit of D Flip-flop composing of two latches (L1: Master, and L2: Slave) and NOT gate. Answers the following questions. (Note: You should show all the steps) When CLK = 0 and D = 1, what are the values of N 1  and Q? N 1 = ? Explain how come. Q= ? Explain how come

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The D flip-flop is created by connecting two gated D latches serially, and inverting the CLK input to one of them. The following figure shows the internal circuit of D Flip-flop composing of two latches (L1: Master, and L2: Slave) and NOT gate. Answers the following questions. (Note: You should show all the steps)

  1. When CLK = 0 and D = 1, what are the values of N 1  and Q?

N 1 = ? Explain how come.

Q= ? Explain how come.

### Master-Slave Flip-Flop Diagram

This diagram illustrates a Master-Slave Flip-Flop configuration, which is essential for edge-triggered sequential logic circuits.

**Components:**

- **Master Flip-Flop:**
  - Inputs: 
    - Data Input \( D \)
    - Clock Input \( \text{CLK}_1 \)
  - Outputs: 
    - Normal Output \( Q \)
    - Complement Output \( \overline{Q} \)
  - Internal Elements: 
    - Latch \( L_1 \)
  
- **Slave Flip-Flop:**
  - Inputs: 
    - Data from Master Output \( N_1 \)
    - Clock Input \( \text{CLK}_2 \)
  - Outputs: 
    - Normal Output \( Q \)
    - Complement Output \( \overline{Q} \)
  - Internal Elements:
    - Latch \( L_2 \)

**Connections:**

- The Data input \( D \) is fed into the Master Flip-Flop. 
- The Clock signal \( CLK \) controls the behavior of both the master and the slave through their respective clock inputs, \( \text{CLK}_1 \) and \( \text{CLK}_2 \).
- The clock signal for the Slave is derived from the Master clock through an inverter, ensuring that \( \text{CLK}_2 \) is always the opposite of \( \text{CLK}_1 \).
- The Master Flip-Flop's output \( N_1 \) is connected to the Slave Flip-Flop's data input. 

**Functionality:**

- The Master Flip-Flop captures the input data \( D \) on the positive edge of the clock signal.
- The Slave Flip-Flop transfers the stored data from the Master to the output on the negative edge of the clock signal.
- This configuration ensures that data is only transferred on clock edges, making it immune to glitches during the clock period. 

**Applications:**

Master-Slave Flip-Flops are widely used in digital circuits for synchronous data transfer, offering reliable storage and transition of data with respect to clock cycles.
Transcribed Image Text:### Master-Slave Flip-Flop Diagram This diagram illustrates a Master-Slave Flip-Flop configuration, which is essential for edge-triggered sequential logic circuits. **Components:** - **Master Flip-Flop:** - Inputs: - Data Input \( D \) - Clock Input \( \text{CLK}_1 \) - Outputs: - Normal Output \( Q \) - Complement Output \( \overline{Q} \) - Internal Elements: - Latch \( L_1 \) - **Slave Flip-Flop:** - Inputs: - Data from Master Output \( N_1 \) - Clock Input \( \text{CLK}_2 \) - Outputs: - Normal Output \( Q \) - Complement Output \( \overline{Q} \) - Internal Elements: - Latch \( L_2 \) **Connections:** - The Data input \( D \) is fed into the Master Flip-Flop. - The Clock signal \( CLK \) controls the behavior of both the master and the slave through their respective clock inputs, \( \text{CLK}_1 \) and \( \text{CLK}_2 \). - The clock signal for the Slave is derived from the Master clock through an inverter, ensuring that \( \text{CLK}_2 \) is always the opposite of \( \text{CLK}_1 \). - The Master Flip-Flop's output \( N_1 \) is connected to the Slave Flip-Flop's data input. **Functionality:** - The Master Flip-Flop captures the input data \( D \) on the positive edge of the clock signal. - The Slave Flip-Flop transfers the stored data from the Master to the output on the negative edge of the clock signal. - This configuration ensures that data is only transferred on clock edges, making it immune to glitches during the clock period. **Applications:** Master-Slave Flip-Flops are widely used in digital circuits for synchronous data transfer, offering reliable storage and transition of data with respect to clock cycles.
Expert Solution
Step 1

D for Delayed A digital electrical circuit called a flip flop is used to delay the changing of its output signal's state until the arrival of the following rising edge of a clock timed input signal. The main distinction between a latch and a flip-flop is that the latch is a level-triggered type of memory circuit, whereas the flip-flop is an edge-triggered variety. It denotes that anytime the input of a latch changes, the output also does.

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