Infix to postfix conversion

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Presentation transcript:

Infix to postfix conversion Scan the Infix expression left to right If the character x is an operand Output the character into the Postfix Expression If the character x is a left or right parenthesis If the character is “(“ Push it into the stack if the character is “)” Repeatedly pop and output all the operators/characters until “(“ is popped from the stack. If the character x is a is a regular operator Step 1: Check the character y currently at the top of the stack. Step 2: If Stack is empty or y=‘(‘ or y is an operator of lower precedence than x, then push x into stack. Step 3: If y is an operator of higher or equal precedence than x, then pop and output y and push x into the stack. When all characters in infix expression are processed repeatedly pop the character(s) from the stack and output them until the stack is empty.

Infix to postfix conversion Stack Infix Expression ( a + b - c ) * d – ( e + f ) Postfix Expression

Infix to postfix conversion Stack Infix Expression a + b - c ) * d – ( e + f ) Postfix Expression (

Infix to postfix conversion Stack Infix Expression + b - c ) * d – ( e + f ) Postfix Expression a (

Infix to postfix conversion Stack Infix Expression b - c ) * d – ( e + f ) Postfix Expression a + (

Infix to postfix conversion Stack Infix Expression - c ) * d – ( e + f ) Postfix Expression a b + (

Infix to postfix conversion Stack Infix Expression c ) * d – ( e + f ) Postfix Expression a b + - (

Infix to postfix conversion Stack Infix Expression ) * d – ( e + f ) Postfix Expression a b + c - (

Infix to postfix conversion Stack Infix Expression * d – ( e + f ) Postfix Expression a b + c -

Infix to postfix conversion Stack Infix Expression d – ( e + f ) Postfix Expression a b + c - *

Infix to postfix conversion Stack Infix Expression – ( e + f ) Postfix Expression a b + c - d *

Infix to postfix conversion Stack Infix Expression ( e + f ) Postfix Expression a b + c – d * -

Infix to postfix conversion Stack Infix Expression e + f ) Postfix Expression a b + c – d * ( -

Infix to postfix conversion Stack Infix Expression + f ) Postfix Expression a b + c – d * e ( -

Infix to postfix conversion Stack Infix Expression f ) Postfix Expression a b + c – d * e + ( -

Infix to postfix conversion Stack Infix Expression ) Postfix Expression a b + c – d * e f + ( -

Infix to postfix conversion Stack Infix Expression Postfix Expression a b + c – d * e f + -

Infix to postfix conversion Stack Infix Expression Postfix Expression a b + c – d * e f + -