Consider the following circuit that uses falling-edge triggered D flip-flops. Assume the Clock input, and outputs Q0, Q1, and Q2, are all initially 0. Draw waveforms for Clock, Q0, Q1, and Q2, showing at least ten Clock cycles.  A. Write a table summarizing the values of Q0, Q1, and Q2 after each Clock cycle. b. Briefly explain what this circuit does at a high level, treating the Q outputs together

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Consider the following circuit that uses falling-edge triggered D flip-flops.

Assume the Clock input, and outputs Q0Q1, and Q2, are all initially 0. Draw waveforms for ClockQ0Q1, and Q2, showing at least ten Clock cycles. 

A. Write a table summarizing the values of Q0Q1, and Q2 after each Clock cycle.

b. Briefly explain what this circuit does at a high level, treating the Q outputs together.

This table represents the states of a 3-bit counter across multiple cycles. The columns labeled \(Q_2\), \(Q_1\), and \(Q_0\) represent the three bits in the counter. 

- **Cycles Completed**: This column indicates the number of cycles that have been completed by the counter, starting from 0 to 10.
  
- **State Columns (\(Q_2\), \(Q_1\), \(Q_0\))**: These columns are placeholders for the count in binary form. For the initial state (0 cycles completed), all bits are set to 0.

Currently, only the initial state is filled, showing all bits at 0. The rows for cycles 1, 2, and up to 10 are empty, indicating that they are meant to be filled with the corresponding binary values as the counter progresses through each cycle. For example, after 1 cycle, the counter might be expected to show 001, after 2 cycles 010, and so forth, up to 10 cycles.
Transcribed Image Text:This table represents the states of a 3-bit counter across multiple cycles. The columns labeled \(Q_2\), \(Q_1\), and \(Q_0\) represent the three bits in the counter. - **Cycles Completed**: This column indicates the number of cycles that have been completed by the counter, starting from 0 to 10. - **State Columns (\(Q_2\), \(Q_1\), \(Q_0\))**: These columns are placeholders for the count in binary form. For the initial state (0 cycles completed), all bits are set to 0. Currently, only the initial state is filled, showing all bits at 0. The rows for cycles 1, 2, and up to 10 are empty, indicating that they are meant to be filled with the corresponding binary values as the counter progresses through each cycle. For example, after 1 cycle, the counter might be expected to show 001, after 2 cycles 010, and so forth, up to 10 cycles.
The image illustrates a digital circuit diagram of a 3-bit shift register using D flip-flops. 

**Diagram Explanation:**

- **Components**: 
  - Three D flip-flops are used, labeled from left to right as Flip-Flop 0, Flip-Flop 1, and Flip-Flop 2.
  - Each flip-flop has one data input (D), a clock input (C), and two outputs (Q and Q̅).

- **Connections**:
  - The clock signal is shared and connected to the clock input (C) of all three flip-flops, ensuring synchronous operation.
  - The data input D₀ of the first flip-flop takes an external input or a previous output routed back for feedback.
  - The Q output of the first flip-flop (Q₀) is fed into the data input D₁ of the second flip-flop.
  - Similarly, the Q output of the second flip-flop (Q₁) is fed into the data input D₂ of the third flip-flop.
  - The Q outputs of each flip-flop are labeled as Q₀, Q₁, and Q₂, which represent the output bits of the 3-bit shift register.

This arrangement allows data to be shifted serially in response to clock pulses, moving from left to right across the flip-flops. Each flip-flop captures the bit presented at its data input on the rising edge of the clock signal, shifting the data sequentially through the register.
Transcribed Image Text:The image illustrates a digital circuit diagram of a 3-bit shift register using D flip-flops. **Diagram Explanation:** - **Components**: - Three D flip-flops are used, labeled from left to right as Flip-Flop 0, Flip-Flop 1, and Flip-Flop 2. - Each flip-flop has one data input (D), a clock input (C), and two outputs (Q and Q̅). - **Connections**: - The clock signal is shared and connected to the clock input (C) of all three flip-flops, ensuring synchronous operation. - The data input D₀ of the first flip-flop takes an external input or a previous output routed back for feedback. - The Q output of the first flip-flop (Q₀) is fed into the data input D₁ of the second flip-flop. - Similarly, the Q output of the second flip-flop (Q₁) is fed into the data input D₂ of the third flip-flop. - The Q outputs of each flip-flop are labeled as Q₀, Q₁, and Q₂, which represent the output bits of the 3-bit shift register. This arrangement allows data to be shifted serially in response to clock pulses, moving from left to right across the flip-flops. Each flip-flop captures the bit presented at its data input on the rising edge of the clock signal, shifting the data sequentially through the register.
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