## What is binary tree in algorithm?

A binary tree is a tree-type non-linear data structure with a maximum of two children for each parent. Every node in a binary tree has a left and right reference along with the data element. The node at the top of the hierarchy of a tree is called the root node. The nodes that hold other sub-nodes are the parent nodes.

**How algebraic expression are represented by binary tree?**

An algebraic expression can be produced from a binary expression tree by recursively producing a parenthesized left expression, then printing out the operator at the root, and finally recursively producing a parenthesized right expression. This general strategy (left, node, right) is known as an in-order traversal.

**Where are binary trees used?**

In computing, binary trees are mainly used for searching and sorting as they provide a means to store data hierarchically. Some common operations that can be conducted on binary trees include insertion, deletion, and traversal.

### What is the difference between complete binary tree and full binary tree?

A full binary tree (sometimes proper binary tree or 2-tree) is a tree in which every node other than the leaves has two children. A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.

**How do you calculate expression tree?**

We can evaluate an expression tree by applying the operator at the root to values obtained by recursively evaluating left and right subtrees. This can be easily done by traversing the expression tree using postorder traversal.

**How do you solve expression tree?**

#### How do you run expression tree?

Only expression trees that represent lambda expressions can be executed. Expression trees that represent lambda expressions are of type LambdaExpression or Expression. To execute these expression trees, call the Compile method to create an executable delegate, and then invoke the delegate.