Practice Theorem 7 (Distributive Laws) - 6.3.7 | 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

Simplify the expression A.(B + C) using the distributive law.

πŸ’‘ Hint: Look for the term that is ANDed across the sum.

Question 2

Easy

Using distributive law, rewrite X + (Y.Z).

πŸ’‘ Hint: Think about how the first term can be expanded.

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 output of X.(Y + Z) when X=1, Y=0, Z=1?

  • 1
  • 0
  • undefined

πŸ’‘ Hint: Evaluate each variable based on its value.

Question 2

True or False? X + (Y.Z) simplifies to (X + Y)(X + Z).

  • True
  • False

πŸ’‘ Hint: Think about how OR distributes over AND.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove using truth tables that both sides of X + (Y.Z) = (X + Y)(X + Z) hold true.

πŸ’‘ Hint: Remember, each variable can be either 0 or 1, leading to 2^3 combinations.

Question 2

Simplify the following Boolean expression using the distributive law: A.(B + C) + A.D.

πŸ’‘ Hint: See how many terms start with A and combine accordingly.

Challenge and get performance evaluation