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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*+
Arrays :- To execute a stack we need a variable called top, that holds the index of the top element of stack and an array to hold the part of the stack.
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