Explain an expression tree with a suitable example, Computer Engineering

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What is an expression tree? How an expression is evaluated using an expression tree?

Algebraic expressions is as given here
a/b+(c-d)e
That has an inherent tree-like structure. For illustration following figure is a representation of the expression of above equation. This type of tree is termed as an expression tree.

549_expression tree.png


The terminal nodes or leaves of an expression tree are the constants or variables in the expression (a, b, c, d, and e). Therefore the non-terminal nodes of an expression tree are the operators (+, -, ÷, and ×).


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