While we use infix expressions in our day to day lives. Computers have trouble understanding this format because they need to keep in mind rules of operator precedence and also brackets. Prefix and Postfix expressions are easier for a computer to understand and evaluate. Given two operands and and an operator , the infix notation implies that O will be placed in between a and b i. When the operator is placed after both operands i.

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Postfix : Prefix :. Note: Do not use spaces in expression. Postfix : Prefix : By Raj. Expression Stack Postfix. Algorithm used Postfix Step 1: Add '' " to the end of the infix expression Step 2: Push o nto the stack Step 3: Repeat until each character in the infix notation is scanned IF a is encountered, push it on the stack IF an operand whetheradigit oracharacter is encountered, add it postfix expression.

IF a " " is encountered, then a. Repeatedly pop from stack and add it to the postfix expression until a " " is encountered. Discard the " ". That is, remove the from stack and do not add it to the postfix expression IF an operator O is encountered, then a.

Repeatedly pop from stack and add each operator popped from the stack to the postfix expression which has the same precedence orahigher precedence than O b. Note that while reversing the string you must interchange left and right parentheses. Step 2: Obtain the postfix expression of the infix expression Step 1. Step 3: Reverse the postfix expression to get the prefix expression.

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## Infix -> Postfix & Prefix

Postfix : Prefix :. Note: Do not use spaces in expression. Postfix : Prefix : By Raj. Expression Stack Postfix.

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## Convert Infix To Prefix Notation

This type of notation is referred to as infix since the operator is in between the two operands that it is working on. Which operands do they work on? The expression seems ambiguous. In fact, you have been reading and writing these types of expressions for a long time and they do not cause you any problem. Each operator has a precedence level. Operators of higher precedence are used before operators of lower precedence.

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## Prefix to Postfix Conversion

The way to write arithmetic expression is known as a notation. An arithmetic expression can be written in three different but equivalent notations, i. These notations are named as how they use operator in expression. We shall learn the same here in this chapter. We write expression in infix notation, e. It is easy for us humans to read, write, and speak in infix notation but the same does not go well with computing devices.

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## Infix, Postfix and Prefix

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