Practice Full Binary Tree Definition - 23.1.1 | 23. Full Binary Tree Definition | Discrete Mathematics - Vol 2
K12 Students

Academics

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

Professionals

Professional Courses

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

Games

Interactive Games

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

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a full binary tree?

💡 Hint: Think about the number of children each node can have.

Question 2

Easy

How many leaves does H(1) represent?

💡 Hint: Consider that leaves are the endpoints without children.

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 defines a full binary tree?

  • Every node has exactly one child.
  • Every internal node has zero or two children.
  • It has a maximum of three children per node.

💡 Hint: Focus on understanding the basic properties of tree structures.

Question 2

Is H(1) greater than H(2)?

  • True
  • False

💡 Hint: Recall the number of leaves corresponding to each H value.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create and illustrate a full binary tree with 5 leaves. Explain the process of constructing this tree.

💡 Hint: Remember to add pairs of nodes while ensuring the total is odd for leaves.

Question 2

Derive the nth Catalan number using the formula and relate it to the number of full binary trees.

💡 Hint: Recall the combinatorial interpretations of Catalan numbers!

Challenge and get performance evaluation