Practice - Theorem 12 (Consensus Theorem)
Practice Questions
Test your understanding with targeted questions
Define the Consensus Theorem in your own words.
💡 Hint: Think about what it means to have a term and its complement together.
What does it mean for a term to be redundant?
💡 Hint: Consider how terms interact within an expression.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the output of the Consensus Theorem?
💡 Hint: Think about the main purpose of the theorem.
If A = 1, what will the expression A + A·B evaluate to?
💡 Hint: What does A being 1 mean for the whole expression?
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Challenge Problems
Push your limits with advanced challenges
Given the expression B·C + A·B + A·C +¬A·D, apply the Consensus Theorem to simplify and explain each step.
💡 Hint: Look for terms that can interact with each other, sharing complementary variables.
Identify all redundant terms in the expression A·B + A·C + B + ¬B·C and simplify it while explaining the reasoning.
💡 Hint: Remember to reassess if combining terms leads back to original forms when simplified!
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Reference links
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