Infix notation

Prefix notation

Infix notation

Postfix notation

Infix notation is the common arithmetic and logical formula notation, in which operators are written infix-style between the operands they act on (e.g. 2 + 2). It is not as simple to parse by computer as prefix notation ( e.g. + 2 2 ) or postfix notation ( e.g. 2 2 + ), but many programming languages use it due to its familiarity.

In infix notation, unlike in prefix or postfix notations, parentheses surrounding groups of operands and operators are necessary to indicate the intended order in which operations are to be performed. In the absence of parentheses, certain precedence rules determine the order of operations. These are explained in the order of operations article.

Related pages

• postfix notation, also called Reverse Polish notation
• prefix notation, also called Polish notation
• Shunting yard algorithm, used to convert infix notation to postfix notation or to a tree

Other websites

• RPN or DAL? A brief analysis of Reverse Polish Notation against Direct Algebraic Logic