Binary expression tree

These trees can represent expressions that contain both unary and binary operators.

This restricted structure simplifies the processing of expression trees.

The input in postfix notation is: a b + c d e + * * Since the first two symbols are operands, one-node trees are created and pointers to them are pushed onto a stack.

Some of the common operators are × (multiplication), ÷ (division), + (addition), − (subtraction), ^ (exponentiation), and - (negation).

Boolean expressions use true and false as constant values, and the operators include

Stack growing from left to right
Formation of a new tree
Creating a one-node tree
Merging two trees
Forming a new tree with a root
Steps to construct an expression tree a b + c d e + * *
Binary algebraic expression tree equivalent to ((5 + z) / -8) * (4 ^ 2)
Binary boolean expression tree equivalent to ((true false) false) (true false))