Enter the height of the tree into the calculator to determine the total number of nodes visited in a complete binary tree traversal.

## Tree Traversal Formula

The following formula is used to calculate the number of nodes visited in a complete binary tree traversal.

N = 2^h - 1

Variables:

• N is the total number of nodes visited in the tree traversal
• h is the height of the tree

To calculate the total number of nodes visited in a complete binary tree traversal, raise 2 to the power of the height of the tree and subtract 1 from the result. This formula assumes that the tree traversal visits every node in the tree exactly once.

## What is a Tree Traversal?

Tree traversal is a process used in computer science to visit or check each node in a tree data structure exactly once. This can be done in different ways, including depth-first order (pre-order, in-order, post-order) and breadth-first order (level order). The traversal method chosen often depends on the specific needs of the algorithm being used. This process is crucial in tasks such as searching for a specific value in the tree, checking the structure of the tree, or applying an operation to each node.

## How to Calculate Tree Traversal?

The following steps outline how to calculate the total number of nodes visited in a Tree Traversal.

1. First, determine the height of the tree (h).
2. Next, use the formula N = 2^h – 1 to calculate the total number of nodes visited.
3. Finally, calculate the result.
4. After inserting the value of h and calculating the result, check your answer.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Height of the tree (h) = 3