Understanding Boolean Logic II: Truth Tables and Logical Equivalence in Computer Science

DESCRIPTION

This module explores advanced Boolean logic concepts, focusing on truth tables and logical equivalence. We will examine expressions such as ( P rightarrow Q ), (text{AND}, text{NOT},) and (text{XOR}) operations, emphasizing how to determine if two statements are logically equivalent by comparing their truth tables. Additionally, we will analyze practical examples, including grading scenarios among students. This lesson aligns with sections 4.4 and 5.2 of the textbook and provides foundational knowledge essential for computer science. Please review the reading material before class.

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May 08, 2026

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Understanding Boolean Logic II: Truth Tables and Logical Equivalence in Computer Science

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CSCI 1001 overview of computer science BOOLEAN LOGIC II
Truth Table
Truth Table
(P → Q) AND (NOT (P XOR Q)) NOT
P → Q Q → P
P → Q (NOT P) OR Q OR Q Expressions are logically equivalent if they have the same truth table we write this as E≡F.
“Bob got a better grade than Alice, or Carol got the same grade as Dave” “If you got a C you took ECON” “If you got a B or better you took CSCI”