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Test your understanding with targeted questions related to the topic.
Question 1
Easy
Simplify the expression A.(B + C)
using the distributive law.
π‘ Hint: Look for the term that is ANDed across the sum.
Question 2
Easy
Using distributive law, rewrite X + (Y.Z)
.
π‘ Hint: Think about how the first term can be expanded.
Practice 4 more questions and get performance evaluation
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?
π‘ Hint: Evaluate each variable based on its value.
Question 2
True or False? X + (Y.Z)
simplifies to (X + Y)(X + Z)
.
π‘ Hint: Think about how OR distributes over AND.
Solve and get performance evaluation
Push your limits with challenges.
Question 1
Prove using truth tables that both sides of X + (Y.Z) = (X + Y)(X + Z)
hold true.
π‘ 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
.
π‘ Hint: See how many terms start with A and combine accordingly.
Challenge and get performance evaluation