Practice Theorem 12 (Consensus Theorem) - 6.3.11 | 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

Define the Consensus Theorem in your own words.

💡 Hint: Think about what it means to have a term and its complement together.

Question 2

Easy

What does it mean for a term to be redundant?

💡 Hint: Consider how terms interact within an expression.

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 the Consensus Theorem?

  • It simplifies Boolean expressions
  • It generates new variable combinations
  • It validates expressions

💡 Hint: Think about the main purpose of the theorem.

Question 2

If A = 1, what will the expression A + A·B evaluate to?

  • True
  • False

💡 Hint: What does A being 1 mean for the whole expression?

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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!

Challenge and get performance evaluation