---**Boolean Algebra Conversion Tasks****Task 4:** Convert the following Boolean expression to the sum of minterms form.\[ f(a, b, c) = a'b' + bc + ac' \]**Task 5:** Convert the following Boolean expression to the product of maxterms form.\[ f(a, b, c) = a + bc \]---Note: The image contains two tasks focusing on converting Boolean expressions into different canonical forms—sum of minterms and product of maxterms. There are no graphs or diagrams present in the image.

Answered: 4. Convert the following Boolean…

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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**Boolean Algebra Conversion Tasks**

**Task 4:**
Convert the following Boolean expression to the sum of minterms form.

\[ f(a, b, c) = a'b' + bc + ac' \]

**Task 5:**
Convert the following Boolean expression to the product of maxterms form.

\[ f(a, b, c) = a + bc \]

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Note: The image contains two tasks focusing on converting Boolean expressions into different canonical forms—sum of minterms and product of maxterms. There are no graphs or diagrams present in the image.

Expert Solution

Step 1: Introduction of Boolean Expression:

It is a mathematical expression which consists of variables, constants, and the logical operators like AND, OR, NOT and evaluates a Boolean value, that is either true or false.

A Boolean function can be represented in two forms:

1) SOP (Sum of products): It is the sum of minterm where minterm is function variable combination for which the output is 1.

SOP representation: F = Σ (minterms)

2) POS (Product of sum): It is a product of maxterm that gives the expression where maxterm is function variable combination for which the output is 0.

POS representation: F = Π (maxterms)

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