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Home/ Questions/Q 883223
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Editorial Team
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Editorial Team
Asked: May 15, 20262026-05-15T12:33:08+00:00 2026-05-15T12:33:08+00:00

I am currently making a simple calculator parser in Java, to deal only with

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I am currently making a simple calculator parser in Java, to deal only with + and – operators, and whole numbers. I have read about postfix and infix evaluation, and I am wondering if brackets can be used with either of these methods?

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  1. Editorial Team
    Editorial Team
    2026-05-15T12:33:09+00:00Added an answer on May 15, 2026 at 12:33 pm

    The beauty of the postfix/prefix notation is that you do NOT need the brackets. Brackets are used in infix notation because there are ambiguities, e.g:

    a + b - c
    

    This can mean either of the following:

    (a + b) - c
    a + (b - c)
    

    However, in postfix notation, they are clearly different:

    a b + c -
    a b c - +
    

    There is no need for parantheses/brackets to enforce evaluation order in postfix notation.

    See also

    • Wikipedia/Reverse Polish Notation

    Conversion from infix

    You can take an expression in infix notation with parantheses and convert it to postfix notation, obeying operator precedence. One such algorithm is Edsger Dijkstra’s stack-based “shunting-yard algorithm”.

    See also

    • Wikipedia/Shunting-yard algorithm
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