Question: In a binary tree, what is the minimum number of nodes required to have a height of h?
Options:
h
h + 1
2^h
2^(h+1) - 1
Correct Answer: h
Solution:
The minimum number of nodes required to have a height of h in a binary tree is h, which occurs in a skewed tree.
In a binary tree, what is the minimum number of nodes required to have a height
Practice Questions
Q1
In a binary tree, what is the minimum number of nodes required to have a height of h?
h
h + 1
2^h
2^(h+1) - 1
Questions & Step-by-Step Solutions
In a binary tree, what is the minimum number of nodes required to have a height of h?
Step 1: Understand what a binary tree is. A binary tree is a tree data structure where each node has at most two children.
Step 2: Know what height means. The height of a binary tree is the number of edges on the longest path from the root node to a leaf node.
Step 3: Realize that a skewed tree is a type of binary tree where all nodes are either to the left or to the right, forming a straight line.
Step 4: For a binary tree to have a height of h, it can be formed by having h nodes in a straight line (skewed tree).
Step 5: Therefore, the minimum number of nodes required to achieve a height of h is exactly h.
Binary Tree Height – The height of a binary tree is defined as the number of edges on the longest path from the root to a leaf node.
Minimum Nodes in a Skewed Tree – A skewed binary tree (either left or right) has the minimum number of nodes for a given height, which is equal to the height itself.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
