Use a truth table to verify the first De Morgan law: ∼ (p∧q) ≡ ∼ p ∨ ∼ q. Kindly show work
Use a truth table to verify the first De Morgan law: ∼ (p∧q) ≡ ∼ p ∨ ∼ q. Kindly show work
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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Question
Use a truth table to verify the first De Morgan law: ∼ (p∧q) ≡ ∼ p ∨ ∼ q.
Kindly show work
Expert Solution
Step 1: ∼ (p∧q) (Negation of the conjunction of p and q):
| p | q | p^q | ~(p^q) |
| T | T | T | F |
| T | F | F | T |
| F | T | F | T |
| F | F | F | T |
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