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Given the truth function implementation (circuit diagram), identify the minterms in the function's truth table by selecting the all the relevant terms from the list of minterm provided. (You need to select more than one answer) This is a 4 Variable problem with the truth function F(A, B, C, D) D A' B A'

Given the truth function implementation (circuit diagram), identify the minterms in the function's truth table by selecting the all the relevant terms from the list of minterm provided. (You need to select more than one answer) This is a 4 Variable problem with the truth function F(A, B, C, D) D A' B A'

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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**Educational Content: Analyzing a Truth Function Circuit Diagram** **Problem Statement:** Given the truth function implementation (circuit diagram), identify the minterms in the function's truth table by selecting all the relevant terms from the list of minterms provided. (You need to select more than one answer.) **Description of the Circuit Diagram:** This is a 4-variable problem with the truth function F(A, B, C, D). - The circuit consists of four AND gates and one OR gate. - The inputs to the AND gates are various combinations of the variables and their negations. **Gate Descriptions:** 1. First AND Gate: - Inputs: A' (NOT A) and B - Output: A'B 2. Second AND Gate: - Inputs: A' and C' - Output: A'C' 3. Third AND Gate: - Inputs: B and C' - Output: BC' 4. Fourth AND Gate: - Inputs: B' and A and C - Output: B'AC **OR Gate:** - The outputs of the four AND gates are inputs to the OR gate. - Output of the OR gate: F = (A'B) + (A'C') + (BC') + (B'AC) **Objective:** - Use the circuit to determine the specific minterms in the function's truth table. **Conclusion:** - Analyze the gate outputs to construct the truth table for F(A, B, C, D) by finding the correct combinations of inputs that produce a true output in the OR gate.
Transcribed Image Text:**Educational Content: Analyzing a Truth Function Circuit Diagram** **Problem Statement:** Given the truth function implementation (circuit diagram), identify the minterms in the function's truth table by selecting all the relevant terms from the list of minterms provided. (You need to select more than one answer.) **Description of the Circuit Diagram:** This is a 4-variable problem with the truth function F(A, B, C, D). - The circuit consists of four AND gates and one OR gate. - The inputs to the AND gates are various combinations of the variables and their negations. **Gate Descriptions:** 1. First AND Gate: - Inputs: A' (NOT A) and B - Output: A'B 2. Second AND Gate: - Inputs: A' and C' - Output: A'C' 3. Third AND Gate: - Inputs: B and C' - Output: BC' 4. Fourth AND Gate: - Inputs: B' and A and C - Output: B'AC **OR Gate:** - The outputs of the four AND gates are inputs to the OR gate. - Output of the OR gate: F = (A'B) + (A'C') + (BC') + (B'AC) **Objective:** - Use the circuit to determine the specific minterms in the function's truth table. **Conclusion:** - Analyze the gate outputs to construct the truth table for F(A, B, C, D) by finding the correct combinations of inputs that produce a true output in the OR gate.
Expert Solution
Step 1

Gates used in the diagram:

 

AND Gate: Return 1 only when both the inputs are 1.

OR Gate: Return 1 only when anyone of the inputs is 1.

 

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