Practice Theorem 9 (6.3.9) - Boolean Algebra and Simplification Techniques - Part A
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Theorem 9

Practice - Theorem 9

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Simplify the expression using absorption: A + ¬B(A + C)

💡 Hint: Use absorption laws to reduce redundancy.

Question 2 Easy

What is the result of ¬X + Y? Or, how could you express this?

💡 Hint: Think about how absorption helps when you combine terms.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the absorption law state?

X + ¬Y = X·Y
X + X·Y = X
¬X + Y = X + Y

💡 Hint: Remember the core principle of absorption.

Question 2

Is ¬A + A·B = A true according to absorption?

True
False

💡 Hint: Review the conditions where absorption applies.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Simplify A + ¬A·B + C using absorption laws and explain each step.

💡 Hint: Apply the absorption identity carefully!

Challenge 2 Hard

Prove that ¬(X + Y) = ¬X·¬Y using DeMorgan's law alongside absorption.

💡 Hint: Understanding DeMorgan's is crucial here!

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Reference links

Supplementary resources to enhance your learning experience.