Infix to postfix calculator


What is infix and postfix expression?

An infix expression is expression which is used by us in day today life An infix expression is a single letter, or an operator, proceeded by one infix string and followed by another infix string. e.g. A,A + B,(A + B) + (C – D).So,in which we have operators between operands.And postfix expression (also called Reverse Polish Notation) is a single letter or an operator, preceded by two postfix strings. Every postfix string longer than a single variable contains first and second operands followed by an operator.e.g. A,A B +,A B + C D –



Conversion from infix to postfix expressions.

To convert infix expression to postfix expression, computers usually 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.So, here you can convert infix expression to postfix by just entering infix expression.Checkout examples that are mention below in table.And you can also check Postfix to infix Converter and Postfix Calculator

1) Infix Expression: (a+b)
Prefix Expression: ab+

2) Infix Expression: (A+B)*(C+D)
Prefix Expression: AB+CD+

3) Infix Expression: x^y/(5*z)+2
Prefix Expression: xy^5z*/2+

Applications

Infix expressions are readable and solvable by humans. We can easily distinguish the order of operators, and also can use the parenthesis to solve that part first during solving mathematical expressions. The computer cannot differentiate the operators and parenthesis easily, that’s why postfix conversion is needed.Compilers or command editor in computer and some calculators also convert expression to postfix first and then solve those expression to evaluate answer for the same.