Postfix using Stacks The rules to convert an infix expression into an equivalent postfix expression are as follows: Suppose infx represents the expression and pfx represents the postfix expression. The rules to convert infx into pfx are as follows: 1. Initialize pfx to an empty expression and also initialize the stack. 2. Get the next symbol, sym, from infx. a. if sym is an operand, append sym to pfx b. if sym is (. push sym into the stack. c. if dym is ). pop snd append all the symbols from the stack until the most recent left parenthesis. Pop and discard the left parentheses. d. If sym is an operator: i. Pop and append all of the operators from the stack to pfx that are above the most recent left parenthesis and have precededence greater than or equal to sym ii. Push sym onto the stack. 3. After processing infx, some operators might be left in the stack. Pop and append to pfx everything from the stack. In this program, you will considerthe following (binary) arithmetic operators +,=,*, and /. You may assume that the expression you will process are error free.(Programming C++).
Postfix using Stacks
The rules to convert an infix expression into an equivalent postfix expression are as follows:
Suppose infx represents the expression and pfx represents the postfix expression. The rules to convert infx into pfx are as follows:
1. Initialize pfx to an empty expression and also initialize the stack.
2. Get the next symbol, sym, from infx.
a. if sym is an operand, append sym to pfx
b. if sym is (. push sym into the stack.
c. if dym is ). pop snd append all the symbols from the stack until the most recent left parenthesis. Pop and discard the left parentheses.
d. If sym is an operator:
i. Pop and append all of the operators from the stack to pfx that are above the most recent left parenthesis and have precededence greater than or equal to sym
ii. Push sym onto the stack.
3. After processing infx, some operators might be left in the stack. Pop and append to pfx everything from the stack. In this program, you will considerthe following (binary) arithmetic operators +,=,*, and /. You may assume that the expression you will process are error free.(
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