Infix to postfix

To convert infix expression to postfix expression, we will use the stack data structure. By scanning the infix expression from left to right, when we will get any operand, simply add them to the postfix form, and for the operator and parenthesis, add them in the stack maintaining the precedence of them.

1. What is infix to postfix algorithm?
2. What is the postfix expression for the corresponding infix expression a B * C +( D * E?
3. How do I convert infix to prefix?
4. What is the priority of in infix to postfix?

What is infix to postfix algorithm?

Algorithm to convert Infix To Postfix

Push “(“onto Stack, and add “)” to the end of X. Scan X from left to right and repeat Step 3 to 6 for each element of X until the Stack is empty. If an operand is encountered, add it to Y. If a left parenthesis is encountered, push it onto Stack.

What is the postfix expression for the corresponding infix expression a B * C +( D * E?

5. What is the postfix expression for the corresponding infix expression? Explanation: Using the infix to postfix expression conversion algorithm, the corresponding postfix expression is found to be abc*+de*+.

How do I convert infix to prefix?

We use the same to convert Infix to Prefix.

1. Step 1: Reverse the infix expression i.e A+B*C will become C*B+A. Note while reversing each '(' will become ')' and each ')' becomes '('.
2. Step 2: Obtain the “nearly” postfix expression of the modified expression i.e CB*A+.
3. Step 3: Reverse the postfix expression.

What is the priority of in infix to postfix?

Conversion of Infix to Postfix

The operators "+" and "-" have the same precedence. The operators "*", "/", "%" also have the same precedence, but have higher precedence than "+" and "-". Operators have a higher precedence than the left parenthesis.