### Understanding Logic Circuits#### IntroductionIn this educational guide, we will delve into the details of a specific logic circuit, illustrated in the provided image. This particular circuit represents the Boolean expression shown in the diagram and demonstrates logical operations using basic logic gates.#### Circuit Components1. **Inputs**: The circuit has three input variables labeled as x, y, and z.2. **Logic Gates**: - **AND Gate**: A gate that outputs true only if all its inputs are true. - **OR Gate**: A gate that outputs true if at least one of its inputs is true. - **NOT Gate**: A gate that outputs the inverse of its input (if input is true, output is false and vice versa).#### Circuit Diagram Explanation- **Inputs**: - x - y - z- **Connections**: - The input **x** directly enters an AND gate. - Input **x** also splits off and enters a NOT gate, inverting the signal to \( \bar{x} \). - The input **y** directly enters the first AND gate, forming the term \( xy \). - Input **y** splits off and enters another AND gate, forming the term \( \bar{x}z \).- **Intermediate Nodes**: - The AND gate combining **x** and **y** outputs \( xy \). - Another AND gate combines \( \bar{x} \) and **z** to form \( \bar{x}z \). - These two outputs are then combined in an OR gate, computing \( xy + \bar{x}z \).- **Output**: - The OR gate outputs the final result, which lights up the bulb if the condition \( xy + \bar{x}z \) or the Boolean expression \( xy + \bar{x}z \) is satisfied.#### Boolean ExpressionThe circuit logically represents the Boolean expression:\[ xy' + x'z \]This means the bulb will light up if either \( xy' \) or \( x'z \) is true.#### SummaryThis logic circuit is a fantastic example of basic digital electronics, demonstrating how Boolean algebra can be implemented practically using logic gates to achieve a specific output based on defined logical conditions. Understanding the detailed workings of such circuits forms the foundation of more complex digital systems. **Explain this circuits in detail****EQU 2**---### Diagram ExplanationThis circuit diagram represents a digital logic circuit with inputs X and Y, logical gates, and a final output that lights a bulb. Below is a step-by-step explanation of each part of the circuit:#### Components:1. **Inputs:** - **X:** A digital input (likely binary: 0 or 1). - **Y:** Another digital input (also likely binary: 0 or 1).2. **Logic Gates:** - **AND Gate:** The AND gate has two inputs, one directly from the Y input and the other from the X input. - **NOT Gate:** This gate takes input X and provides the inverted (NOT) output of X. - **OR Gate:** This gate combines two inputs, which are the outputs from the AND Gate and NOT Gate respectively.3. **Output Device:** - **Bulb:** Represents the final output of the circuit, which lights up based on the combined logic from the inputs and gates.#### Logic Operation:The circuit follows this logical expression: \( X' \cdot X \cdot Y \)- **Step-by-Step Breakdown:** 1. **NOT Gate:** Takes input X and outputs \( \neg X \) (the inversion of X). 2. **AND Gate:** Takes inputs X and Y, and outputs \(X \cdot Y \) (logical AND). 3. **OR Gate:** Takes the outputs from the NOT Gate (\( \neg X\)) and AND Gate (\( X \cdot Y \)), then combines them using logical OR to output \( \neg X + (X \cdot Y) \).The logic used in this circuit essentially combines the inverted X input with the AND result of XY to control the lighting of the bulb.

Assuming the blue highlighted switch denotes "Switch ON" mode. and not highlighted switch denotes…

Answered: Explain this circuitin details EQU 3

Engineering

Electrical Engineering

Explain this circuitin details EQU 3

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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