1. For the circuit in Figure 1, determine the characteristic table. What is the cost of the circuit? What is the critical delay? S Q Clk R

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Certainly! Below is a transcription suitable for an educational website, with an explanation of the diagram:

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1. For the circuit in Figure 1, determine the characteristic table. What is the cost of the circuit? What is the critical delay?

**Circuit Diagram Explanation:**

The diagram represents a clocked SR latch using NAND gates. It features two inputs, `S` (Set) and `R` (Reset), along with a clock input `Clk`. The circuit outputs are `Q` and `Q̅` (Q-bar).

- **Components:**
  - The circuit includes four NAND gates.
  - The outputs from the first two NAND gates feed into the second pair of NAND gates.
  - The final pair produces the outputs `Q` and `Q̅`.

- **Functionality Overview:**
  - When the clock `Clk` is activated, the latch responds to the `S` and `R` inputs.
  - If `S` is high and `R` is low, the latch sets `Q` to high.
  - Conversely, if `S` is low and `R` is high, `Q` resets to low.
  - If both `S` and `R` are low, the outputs remain unchanged.
  - The state when both `S` and `R` are high is considered invalid for an SR latch.

For further study, students should explore the characteristic table which defines the output states based on different combinations of `S`, `R`, and `Clk`. Additionally, consider the cost of the circuit (related to the number of gates used) and the critical delay (affected by the gate delays in the longest path through the circuit).

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This description integrates an explanation of both the symbolic and functional aspects of the latch circuit, providing students with a foundation for determining its characteristic table, cost, and critical delay.
Transcribed Image Text:Certainly! Below is a transcription suitable for an educational website, with an explanation of the diagram: --- 1. For the circuit in Figure 1, determine the characteristic table. What is the cost of the circuit? What is the critical delay? **Circuit Diagram Explanation:** The diagram represents a clocked SR latch using NAND gates. It features two inputs, `S` (Set) and `R` (Reset), along with a clock input `Clk`. The circuit outputs are `Q` and `Q̅` (Q-bar). - **Components:** - The circuit includes four NAND gates. - The outputs from the first two NAND gates feed into the second pair of NAND gates. - The final pair produces the outputs `Q` and `Q̅`. - **Functionality Overview:** - When the clock `Clk` is activated, the latch responds to the `S` and `R` inputs. - If `S` is high and `R` is low, the latch sets `Q` to high. - Conversely, if `S` is low and `R` is high, `Q` resets to low. - If both `S` and `R` are low, the outputs remain unchanged. - The state when both `S` and `R` are high is considered invalid for an SR latch. For further study, students should explore the characteristic table which defines the output states based on different combinations of `S`, `R`, and `Clk`. Additionally, consider the cost of the circuit (related to the number of gates used) and the critical delay (affected by the gate delays in the longest path through the circuit). --- This description integrates an explanation of both the symbolic and functional aspects of the latch circuit, providing students with a foundation for determining its characteristic table, cost, and critical delay.
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