# Full Binary Tree

#### In this tutorial, you will learn about full binary tree and its different theorems. Also, you will find working examples to check full binary tree in Python.

A full Binary tree is a special type of binary tree in which every parent node/internal node has either two or no children.

It is also known as a proper binary tree.

## Full Binary Tree Theorems

``````Let, i = the number of internal nodes
n = be the total number of nodes
l = number of leaves
λ = number of levels
``````
1. The number of leaves is `i + 1`.
2. The total number of nodes is `2i + 1`.
3. The number of internal nodes is (n – 1) / 2.
4. The number of leaves is `(n + 1) / 2`.
5. The total number of nodes is `2l – 1`.
6. The number of internal nodes is `l – 1`.
7. The number of leaves is at most `2λ - 1`.

## Python Examples

The following code is for checking if a tree is a full binary tree.

``````/* Checking if a binary tree is a full binary tree in Python */

/* Creating a node */
class Node:

def __init__(self, item):
self.item = item
self.leftChild = None
self.rightChild = None

/* Checking full binary tree */
def isFullTree(root):

/* Tree empty case */
if root is None:
return True

/* Checking whether child is present */
if root.leftChild is None and root.rightChild is None:
return True

if root.leftChild is not None and root.rightChild is not None:
return (isFullTree(root.leftChild) and isFullTree(root.rightChild))

return False``````

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