**Text:**12. Construct the logic circuit for the function A∼B + B·(C + ∼A) using AND/OR/NOT logic gates.13. Give a Boolean expression for the following circuit. Can you simplify your expression?**Diagram Explanation:**The diagram illustrates a logic circuit with the following components:- **Inputs:** A, B, and C- **Gates:** - A NOT gate takes input A and outputs ∼A. - An OR gate receives inputs from ∼A and B. - An AND gate receives inputs from C and the output of the OR gate. - A second OR gate receives inputs from A and the output of the previously mentioned AND gate. - A final AND gate combines the output from the second OR gate with an additional input (from B).This structure leads to a final output at the end of the circuit. To find the Boolean expression, trace the logical operations through the gates, starting from the inputs and following through to the output.

Answered: 12. Construct the logic circuit for the…

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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**Text:**

12. Construct the logic circuit for the function A∼B + B·(C + ∼A) using AND/OR/NOT logic gates.

13. Give a Boolean expression for the following circuit. Can you simplify your expression?

**Diagram Explanation:**

The diagram illustrates a logic circuit with the following components:

- **Inputs:** A, B, and C
- **Gates:**
- A NOT gate takes input A and outputs ∼A.
- An OR gate receives inputs from ∼A and B.
- An AND gate receives inputs from C and the output of the OR gate.
- A second OR gate receives inputs from A and the output of the previously mentioned AND gate.
- A final AND gate combines the output from the second OR gate with an additional input (from B).

This structure leads to a final output at the end of the circuit. To find the Boolean expression, trace the logical operations through the gates, starting from the inputs and following through to the output.

Expert Solution

Step 1: Concept of logic gates :

Logic gates are fundamental electronic components that process binary values (0 or 1) to perform basic logical functions, forming the building blocks of digital circuits. Common gates include AND, OR, and NOT.

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