Full Binary Tree Last Updated : 07 May, 2025 Comments Improve Suggest changes Like Article Like Report Try it on GfG Practice What is a Binary Tree?A binary tree is a tree data structure with a maximum of 2 children per node. We commonly refer to them as the left and right child as each element in a binary tree may only have two children.What is a Full Binary Tree?A full binary tree is a binary tree with either zero or two child nodes for each node. A full binary tree, on the other hand, does not have any nodes that have only one child node.Full Binary TreeFull Binary Tree Theorem:Let T be a nonempty, full binary tree Then:If T has I internal nodes, the number of leaves is L = I + 1.This is known as the full binary tree theorem.Facts derived from the theorem:If T has I internal nodes, the total number of nodes is N = 2I + 1.If T has a total of N nodes, the number of internal nodes is I = (N – 1)/2.If T has a total of N nodes, the number of leaves is L = (N + 1)/2.If T has L leaves, the total number of nodes is N = 2L – 1.If T has L leaves, the number of internal nodes is I = L – 1. Some other properties:There are a maximum of 2k nodes in level k for every k >= 0.The binary tree with λ levels has maximum of 2λ-1 nodes.The binary tree with N nodes has the number of levels at least [log (N + 1)].The binary tree with L leaves has the number of leaves at least [log L] + 1.Related Articles:Introduction to Binary Tree - Data Structures and Algorithms TutorialsComplete Binary Tree Comment More infoAdvertise with us Next Article Full Binary Tree A akashjha2671 Follow Improve Article Tags : Tree DSA Practice Tags : Tree Similar Reads What is Full Binary Tree? A full binary tree is a type of binary tree in which every node has either zero or two children. Full Binary Tree exampleProperties of Full Binary Tree: Let i be the number of internal nodes, n be the total number of nodes, l be the number of leaf nodes and h be the total number of levels The number 2 min read Perfect Binary Tree What is a Perfect Binary Tree? A perfect binary tree is a special type of binary tree in which all the leaf nodes are at the same depth, and all non-leaf nodes have two children. In simple terms, this means that all leaf nodes are at the maximum depth of the tree, and the tree is completely filled w 4 min read Complete Binary Tree We know a tree is a non-linear data structure. It has no limitation on the number of children. A binary tree has a limitation as any node of the tree has at most two children: a left and a right child. What is a Complete Binary Tree?A complete binary tree is a special type of binary tree where all t 7 min read Types of Binary Tree We have discussed Introduction to Binary Tree in set 1 and the Properties of Binary Tree in Set 2. In this post, common types of Binary Trees are discussed. Types of Binary Tree based on the number of children:Following are the types of Binary Tree based on the number of children: Full Binary TreeDe 7 min read Binary Tree Traversal Binary trees are fundamental data structures in computer science and understanding their traversal is crucial for various applications. Traversing a binary tree means visiting all the nodes in a specific order. There are several traversal methods, each with its unique applications and benefits. This 15+ min read Like