Practice Theorem 5 (Commutative Laws) - 6.3.5 | 6. Boolean Algebra and Simplification Techniques - Part A | Digital Electronics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Is it true that A + B equals B + A? Explain why.

πŸ’‘ Hint: Think about how changing the order affects the outcome.

Question 2

Easy

What is the expression for B Β· A?

πŸ’‘ Hint: Use the property we just learned.

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 are the two main statements of the Commutative Laws in Boolean algebra?

  • A + B = B + A and A Β· B = B Β· A
  • A Β· B = C and A + B = C
  • A + A = A and A Β· A = A

πŸ’‘ Hint: Focus on how order relates to outcome.

Question 2

True or False: The equation A Β· B = B Β· A illustrates the application of the Commutative Law.

  • True
  • False

πŸ’‘ Hint: Think of how operators work.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a Boolean circuit using the commutative property to prove that the input sequence can be interchanged without changing the output.

πŸ’‘ Hint: Diagram it out and think of logical equivalences.

Question 2

Given a complex boolean expression involving multiple variables, how would rearranging terms make it easier to simplify?

πŸ’‘ Hint: Look for opportunities to combine like terms.

Challenge and get performance evaluation