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The output a of the above logic circuit is

The output a of the above logic circuit is

Database System Concepts
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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### Logic Circuit Diagram Explanation The diagram illustrates a logic circuit composed of various logic gates. Here is a detailed explanation: 1. **Inputs and Outputs:** - There are four inputs labeled A, B, C, and D. - The output is labeled `a`. 2. **Logic Gates Used:** - The circuit includes two NOT gates, two AND gates, and one OR gate. 3. **Connections:** - **NOT Gates:** - Input D is passed through a NOT gate, resulting in D'. - **AND Gates:** - The first AND gate takes inputs B and D' and outputs BD'. - The second AND gate takes inputs C and D' and outputs CD'. - **OR Gates:** - The OR gate takes the outputs from the first AND gate, the second AND gate, and the inputs A and B, combining them to produce the final output `a`. ### Question and Options **The output `a` of the above logic circuit is:** - ○ A + B + C + B'D' - ○ A + BD + B'D' - ○ A + BD + C + B'D' - ○ A + C + B'D' - ○ None of the above The task is to select the correct expression that represents the output of the logic circuit. Analyzing the given logic gates and their connections will help determine the correct logical expression.
Transcribed Image Text:### Logic Circuit Diagram Explanation The diagram illustrates a logic circuit composed of various logic gates. Here is a detailed explanation: 1. **Inputs and Outputs:** - There are four inputs labeled A, B, C, and D. - The output is labeled `a`. 2. **Logic Gates Used:** - The circuit includes two NOT gates, two AND gates, and one OR gate. 3. **Connections:** - **NOT Gates:** - Input D is passed through a NOT gate, resulting in D'. - **AND Gates:** - The first AND gate takes inputs B and D' and outputs BD'. - The second AND gate takes inputs C and D' and outputs CD'. - **OR Gates:** - The OR gate takes the outputs from the first AND gate, the second AND gate, and the inputs A and B, combining them to produce the final output `a`. ### Question and Options **The output `a` of the above logic circuit is:** - ○ A + B + C + B'D' - ○ A + BD + B'D' - ○ A + BD + C + B'D' - ○ A + C + B'D' - ○ None of the above The task is to select the correct expression that represents the output of the logic circuit. Analyzing the given logic gates and their connections will help determine the correct logical expression.
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A logic gate is an idealized model of computation or physical electronic device implementing a Boolean function and a logic operation performed on one or more binary inputs that produces a single binary output.

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