Expression Tree in Data Structures

In computer science, an Expression Tree is an important structure for storing and evaluating mathematical or logical expressions. It is a type of binary tree used to store mathematical operators and operands in a structured way. In such trees, the internal nodes are operators (like +, -, *, /), while the leaf nodes are numerical values or variables.

An expression tree is created to transform a mathematical or logical expression into a hierarchy. Each node in the tree contains an operator or an operand. For example, the expression `(a + b) * (c + d)` would be represented with `*` at the root, two `+` nodes as its children, and `a, b, c, d` as the leaves.

They provide a consistent structure, make evaluation simple and effective, and are widely used in compilers for evaluating and optimizing expressions.

They consume more memory because each operator and operand is stored as a node, and their creation and evaluation can be complex for large expressions.