# Difference Between Binary Tree and Binary Search Tree

This post is going to be about the difference between Binary Tree and **Binary Search Tree**.

And it is going to take almost only 1 minute for you to read this post.

Trees are hierarchical **data structures**, which is different than Linked Lists, Arrays, Stacks or **Queues**, because they are linear data **structures**.

But there are so many **tree** types in the literature that might blow your mind up.

So what is the difference?

Let’s take a look at it.

**A Binary Tree** is made of nodes, where each node contains a “left” **pointer**, a “right” pointer, and a data element. The “root” pointer points to the topmost node in the tree. The left and right **pointers** recursively point to smaller “subtrees” on either side. A null pointer represents a **binary tree** with no elements — the empty tree. The formal recursive definition is: a binary tree is either empty (represented by a null pointer), or is made of a single node, where the left and right pointers (recursive definition ahead) each point to a binary tree.

**A Binary Search Tree** (* BST*) or “ordered binary tree” is a

**type**of binary tree where the nodes are arranged in order: for each node, all elements in its left subtree are less to the node (<), and all the elements in its right subtree are greater than the node (>). The tree shown above is a binary search tree — the “

*” node is a 5, and its left subtree nodes (1, 3, 4) are < 5, and its right subtree nodes (6, 9) are > 5. Recursively, each of the subtrees must also obey the binary search tree constraint: in the (1, 3, 4) subtree, the 3 is the root, the 1 < 3 and 4 > 3.*

**root**Watch out for the exact wording in the problems — a “binary search tree” is different from a “binary tree”.

**In a basic description, we can say that:**

*Binary tree*: Tree where each node has up to two leaves

1 2 3 4 5 | 1 / \ 2 3 |

*Binary search tree*: Used for **searching**. A binary tree where the left child contains *only* nodes with values less than the parent node, and where the right child *only* contains nodes with values greater than or equal to the parent.

1 2 3 4 5 | 2 / \ 1 3 |

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