Practice Theorem 14 (Transposition Theorem) - 6.3.13 | 6. Boolean Algebra and Simplification Techniques - Part A | Digital Electronics - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Using Theorem 14(a), simplify X · A + X · B.

💡 Hint: Look for the complement of X in the expression.

Question 2

Easy

What is the result of (¬A + B)(¬A + C) using Theorem 14(b)?

💡 Hint: Focus on the relationship at play.

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 does the Transposition Theorem allow you to do?

  • Change logic function output
  • Transform sums into products
  • Change variable names

💡 Hint: Think about its application in simplifying logical expressions.

Question 2

True or False: Theorem 14(a) helps in simplifying expressions by removing complements.

  • True
  • False

💡 Hint: Focus on how complements are involved in the theorem.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the expression A·B + A·C + D·E, apply the Transposition Theorem to rewrite it in a simpler form.

💡 Hint: Focus first on combining A terms.

Question 2

Simplify the complex expression A·B + B·C + D·E using the Transposition Theorem systematically.

💡 Hint: Look for overlapping structures that can be simplified.

Challenge and get performance evaluation