## Infix expression to postfix form using the stack function, Data Structure & Algorithms

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Q. Convert the following given Infix expression to Postfix form using the stack function: x + y * z + (p * q + r ) * s, Follow general precedence rule and suppose that the expression is legal.

Ans.

The given infix expression is as follows :-

x + y * z + (p * q + r) * s

Symb                Stack                    Postfix Expression x empty  x

+                       +                           x

y                       +                           xy

*                       +*                         xy

z                       +*                         xyz

+                       +                           xyz*+ (          +(         xyz*+

p                       +(                         xyz*+p

*                       +(*                       xyz*+p q       +(*       xyz*+p

+                       +(+                       xyz*+pq*

r                        +(+                       xyz*+pq*r

)                        +                           xyz*+pq*r+

*                       +*                         xyz*+pq*r+

s                        +*                         xyz*+pq*r+s

= xyz*+pq*r+s*+ The postfix expression obtained  is :- xyz*+pq*r+s*+

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