Practice Theorem 3 (idempotent Or Identity Laws) (6.3.3) - Boolean Algebra and Simplification Techniques - Part A
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Theorem 3 (Idempotent or Identity Laws)

Practice - Theorem 3 (Idempotent or Identity Laws)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the result of A . A?

💡 Hint: Remember, it’s the Idempotent Law for AND.

Question 2 Easy

What is the result of A + A?

💡 Hint: Think about how OR works.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the result of X . X in Boolean algebra?

X
0
1

💡 Hint: Reflect on the basic principles of Boolean operations.

Question 2

True or False: A + A = 1.

True
False

💡 Hint: Think about how redundancy works in logical operations.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the expression (A + B) . A + (A + B) . A + C, simplify this expression using Idempotent Laws.

💡 Hint: Look for redundancy in terms to apply the Idempotent Laws effectively.

Challenge 2 Hard

Consider the expression A . B + A . B + A . B + C. Simplify it.

💡 Hint: What happens when you have three identical AND inputs? Can you reduce that?

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Reference links

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