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
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
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text: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.
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