The postfix form of A*B+C/D is?*AB/CD+AB*CD/+A*BC+/DABCD+/*
Question
The postfix form of AB+C/D is?AB/CD+ABCD/+ABC+/DABCD+/*
Solution
The postfix form of the infix expression AB+C/D is ABCD/+.
Here's the step-by-step process:
- Scan the infix expression from left to right.
- If the scanned character is an operand, output it.
- Else,
- If the precedence of the scanned operator is greater than the precedence of the operator in the stack(or the stack is empty), push it.
- Else, Pop the operator from the stack until the precedence of the scanned operator is less-equal to the precedence of the operator residing on the top of the stack. Push the scanned operator to the stack.
- If the scanned character is an '(', push it to the stack.
- If the scanned character is an ')', pop and output from the stack until an '(' is encountered.
- Repeat steps 2-6 until infix expression is scanned.
- Print the output
- Pop and output from the stack until it is not empty.
So, for the given expression A*B+C/D:
- A and B are operands, so output them and place the * operator in the stack. The output is now AB*.
- C and D are operands, so output them and place the / operator in the stack. The output is now AB*CD/.
-
- is an operator. It has less precedence than * and /, so pop all the operators from the stack and output them. The output is now AB*CD/+.
So, the postfix form of AB+C/D is ABCD/+.
Similar Questions
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