Practice Theorem 10 (Absorption Law or Redundancy Law) - 6.3.10 | 6. Boolean Algebra and Simplification Techniques - Part A | Digital Electronics - Vol 1
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6.3.10 - Theorem 10 (Absorption Law or Redundancy Law)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

💡 Hint: Look for terms that can be absorbed!

Question 2

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

💡 Hint: Apply the absorption law step by step.

Challenge and get performance evaluation