Practice - Theorem 7 (Distributive Laws)
Practice Questions
Test your understanding with targeted questions
Simplify the expression A.(B + C) using the distributive law.
💡 Hint: Look for the term that is ANDed across the sum.
Using distributive law, rewrite X + (Y.Z).
💡 Hint: Think about how the first term can be expanded.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the output of X.(Y + Z) when X=1, Y=0, Z=1?
💡 Hint: Evaluate each variable based on its value.
True or False? X + (Y.Z) simplifies to (X + Y)(X + Z).
💡 Hint: Think about how OR distributes over AND.
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Challenge Problems
Push your limits with advanced challenges
Prove using truth tables that both sides of X + (Y.Z) = (X + Y)(X + Z) hold true.
💡 Hint: Remember, each variable can be either 0 or 1, leading to 2^3 combinations.
Simplify the following Boolean expression using the distributive law: A.(B + C) + A.D.
💡 Hint: See how many terms start with A and combine accordingly.
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