Create a program by using stack for : 1. Infix transformation to Postfix 2. Infix transformation to Prefix

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Create a program by using stack for :
1. Infix transformation to Postfix
2. Infix transformation to Prefix
Program Details:-
We have to hold information that's expressed inside parentheses while scanning to find the closing
')'. We also have to hold information on operations that are of lower precedence on the stack.
The algorithms are:
a. Create an empty stack and an empty postfix and prefix output string/stream.
b. Scan the infix input string/stream left to right.
c. If the current input token is an operand, simply append it to the output string.
d. If the current input token is an operator, push the operator onto the stack. Pop off operators
that have equal or higher precedence and append them to the output string;.
e. The order of popping is the order in the output. If the current input token is '(', push it onto
the stack If the current input token is ')', pop off all operators and append them to the
output string until a '(' is popped; discard the '('. If the end of the input string is found, pop
all operators and append them to the output string.
This algorithm doesn't handle errors in the input, although careful analysis of parenthesis or lack of
parenthesis could point to such error determination. Apply the algorithm to the above expressions.
Transcribed Image Text:Create a program by using stack for : 1. Infix transformation to Postfix 2. Infix transformation to Prefix Program Details:- We have to hold information that's expressed inside parentheses while scanning to find the closing ')'. We also have to hold information on operations that are of lower precedence on the stack. The algorithms are: a. Create an empty stack and an empty postfix and prefix output string/stream. b. Scan the infix input string/stream left to right. c. If the current input token is an operand, simply append it to the output string. d. If the current input token is an operator, push the operator onto the stack. Pop off operators that have equal or higher precedence and append them to the output string;. e. The order of popping is the order in the output. If the current input token is '(', push it onto the stack If the current input token is ')', pop off all operators and append them to the output string until a '(' is popped; discard the '('. If the end of the input string is found, pop all operators and append them to the output string. This algorithm doesn't handle errors in the input, although careful analysis of parenthesis or lack of parenthesis could point to such error determination. Apply the algorithm to the above expressions.
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