If a binary tree has a height of 'h', what is the minimum number of nodes it can
Practice Questions
Q1
If a binary tree has a height of 'h', what is the minimum number of nodes it can have?
h
h + 1
2^h - 1
2^h
Questions & Step-by-Step Solutions
If a binary tree has a height of 'h', what is the minimum number of nodes it can have?
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: Recognize 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: Realize that in a skewed tree of height 'h', there are 'h + 1' nodes. This is because you start counting from the root (1 node) and add one node for each level down to the leaves.
Step 5: Conclude that the minimum number of nodes in a binary tree of height 'h' is 'h + 1'.
Binary Tree Height – The height of a binary tree is the length of the longest path from the root to a leaf node.
Minimum Nodes in Binary Tree – A binary tree of height h has a minimum of h + 1 nodes when it is skewed (i.e., all nodes have only one child).
