Second question 1. Simplify the following Boolean expression to a minimum number of literals.1) x'yz' + x'yz + xy'z + xyz' + xyz(three literals)2) (x+y+z) (x+y+z')(x' +y+z)3) a'b (d' + c'd) + b(a + a'cd)(three literals)(one literal)

Answered: 1. Simplify 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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Second question

1. Simplify the following Boolean expression to a minimum number of literals.
1) x'yz' + x'yz + xy'z + xyz' + xyz
(three literals)
2) (x+y+z) (x+y+z')(x' +y+z)
3) a'b (d' + c'd) + b(a + a'cd)
(three literals)
(one literal)

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Step 1: Boolean expressions

Mathematical expressions that work with binary variables (0 and 1) or Boolean values (true and false) are known as Boolean expressions. Boolean algebra, a subfield of algebra that deals with logic operations, uses these expressions. In computer science, digital circuit design, and programming, boolean expressions are essential.

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