Practice Theorem 10 (absorption Law Or Redundancy Law) (6.3.10) - Boolean Algebra and Simplification Techniques - Part A
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Theorem 10 (Absorption Law or Redundancy Law)

Practice - Theorem 10 (Absorption Law or Redundancy Law)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Simplify the expression A + (A AND B). What is the result?

💡 Hint: Think about what happens when A is true.

Question 2 Easy

If X is true, what is (X AND (X + Y))?

💡 Hint: Consider how AND and OR work together.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the Absorption Law?

X + (X AND Y) = X
X + Y = X

💡 Hint: Focus on the terms that dominate.

Question 2

True or False: (X AND (X + Y)) = X is a valid expression based on the absorption law.

True
False

💡 Hint: Think about the meaning of AND.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Simplify the Boolean expression H = A + (A AND B) + C + (C AND D).

💡 Hint: Look for terms that can be absorbed!

Challenge 2 Hard

Prove that J = (X AND (X + Y)) + (X + Z) can be simplified.

💡 Hint: Apply the absorption law step by step.

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Reference links

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