Sam thinks that AB + A'B' simplifies to 1 by the Inverse law. A. Show that Sam is wrong by fleshing out a truth table to find all rows in which AB + A'B' evaluates to 0, not 1. Circle these rows. B. By part (a), A'B' is clearly not the inverse of AB. Using DeMorgan’s law, express the inverse of AB as a Boolean expression bexp5b that is a sum of literals. C. Extend the truth table from part (a) to add columns for bexp5b and AB + bexp5b. All entries in the column for AB + bexp5b should have the value 1, showing that bexp5b is indeed the inverse of AB.
Sam thinks that AB + A'B' simplifies to 1 by the Inverse law. A. Show that Sam is wrong by fleshing out a truth table to find all rows in which AB + A'B' evaluates to 0, not 1. Circle these rows. B. By part (a), A'B' is clearly not the inverse of AB. Using DeMorgan’s law, express the inverse of AB as a Boolean expression bexp5b that is a sum of literals. C. Extend the truth table from part (a) to add columns for bexp5b and AB + bexp5b. All entries in the column for AB + bexp5b should have the value 1, showing that bexp5b is indeed the inverse of AB.
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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Sam thinks that AB + A'B' simplifies to 1 by the Inverse law.
A. Show that Sam is wrong by fleshing out a truth table to find all rows in which AB + A'B' evaluates to 0, not 1. Circle these rows.
B. By part (a), A'B' is clearly not the inverse of AB. Using DeMorgan’s law, express the inverse of AB as a Boolean expression bexp5b that is a sum of literals.
C. Extend the truth table from part (a) to add columns for bexp5b and AB + bexp5b. All entries in the column for AB + bexp5b should have the value 1, showing that bexp5b is indeed the inverse of AB.
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