What is Infix Prefix & Postfix Expressions in Data Structures | Why do we need them ?
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--------------------------------------------------------------------------------------------- In this tutorial we will understand the 3 different types of expressions that is infix, prefix and postfix expressions. This topic comes under the application of stack data structure as stack data structure is used to perform conversions between these 3 expressions.
What is an Expression?
An Expression is a combination of symbols that can be numbers (constants), variables, operations, symbols of grouping and other punctuation written is a specific format/way.
Depending on how the expression is written, we can classify it into 3 categories -
1) Prefix -
An expression is called the prefix expression if the operator appears in the expression before the operands. Simply of the form (operator operand1 operand2). E.g. +AB
2) Infix -
An expression is called the infix expression if the operator appears in the expression in between the operands. Simply of the form (operand1 operator operand2). E.g. A+B
3) Postfix -
An expression is called the postfix expression if the operator appears in the expression after the operands. Simply of the form (operand1 operand2 operator). E.g. AB+
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#expressions #infix #prefix #postfix #datastructures #algorithms #stacks