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3. Given the Boolean expression in SOP form, fill in the truth table. Then draw the logic circuit that represents the Boolean expression. f =x yz+xyz + xyz

3. Given the Boolean expression in SOP form, fill in the truth table. Then draw the logic circuit that represents the Boolean expression. f =x yz+xyz + xyz

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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**Exercise 3: Boolean Expression and Logic Circuit** **Task:** Given the Boolean expression in SOP (Sum of Products) form, fill in the truth table. Then draw the logic circuit that represents the Boolean expression. **Boolean Expression:** \[ f = \overline{x}yz + x\overline{y}z + xy\overline{z} \] **Instructions:** 1. Analyze the given expression, which has three terms. 2. Identify the inputs involved: \( x \), \( y \), and \( z \). 3. Fill out a truth table with all possible combinations of inputs and the corresponding output based on the expression. 4. Illustrate the logic circuit using standard gates to represent the expression correctly.
Transcribed Image Text:**Exercise 3: Boolean Expression and Logic Circuit** **Task:** Given the Boolean expression in SOP (Sum of Products) form, fill in the truth table. Then draw the logic circuit that represents the Boolean expression. **Boolean Expression:** \[ f = \overline{x}yz + x\overline{y}z + xy\overline{z} \] **Instructions:** 1. Analyze the given expression, which has three terms. 2. Identify the inputs involved: \( x \), \( y \), and \( z \). 3. Fill out a truth table with all possible combinations of inputs and the corresponding output based on the expression. 4. Illustrate the logic circuit using standard gates to represent the expression correctly.
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