De Morgan’s Law Practical Examples
Example 1: Pizza Toppings
Imagine you’re at a pizza party, and you’re told you can choose any toppings except for both mushrooms and olives together.
- Using De Morgan’s Law: This means if you don’t want both mushrooms and olives (Not (Mushrooms and Olives)), you can either not have mushrooms (Not Mushrooms) or not have olives (Not Olives) on your pizza. So, you could have a pizza with just mushrooms, just olives, or neither!
Example 2: Library Books
Your teacher says you cannot bring books about wizards or dragons into the classroom.
- Using De Morgan’s Law: This means if you’re not allowed books about wizards or dragons (Not (Wizards or Dragons)), you can’t bring books about wizards (Not Wizards) and you can’t bring books about dragons (Not Dragons). So, books about space or animals are still okay!
Example 3: Playing Outside
Your mom says you can’t play outside if it’s raining and cold at the same time.
- Using De Morgan’s Law: This means if you’re not going out because it’s raining and cold (Not (Raining and Cold)), you wouldn’t go out if it’s just raining (Not Raining) or just cold (Not Cold). But if it’s sunny and warm, you’re good to go!
Example 4: Choosing a Movie
Your friend says they don’t want to watch a movie that is scary or boring.
- Using De Morgan’s Law: This means if your friend doesn’t want a movie that’s scary or boring (Not (Scary or Boring)), they don’t want a scary movie (Not Scary) and they don’t want a boring movie (Not Boring). So, a funny or exciting movie would be perfect!
De Morgan’s Law – Theorem, Proofs, Formula & Examples
De Morgan’s law is the most common law in set theory and Boolean algebra as well as set theory. In this article, we will learn about De Morgan’s law, De Morgan’s law in set theory, and De Morgan’s law in Boolean algebra along with its proofs, truth tables, and logic gate diagrams. The article also includes the solved De Morgan’s Law Example and FAQs on De Morgan’s law. Let us learn about De Morgan’s law.
Table of Content
- What is De Morgan’s Law
- De Morgan’s Law in Set Theory
- First De Morgan’s Law
- Second De Morgan’s Law
- Proof Using Algebra of Sets
- De Morgan’s Law in Boolean Algebra
- De Morgan’s Law Formula
- Solved Examples on De Morgan’s Law
- Logic Applications of De Morgan’s Law