Illustrate step-by-step the stack algorithm to convert this to postfix. a + b * (d *...

Illustrate step-by-step the stack algorithm to convert this to postfix.
a + b * (d * e + f)

Expert Solution

Answer)
The step-by-step conversion of the following expression to postfix is:
a + b * (d * e + f)

Following are the steps:
Input string - Output string - Operator stack
a + b * (d * e + f)   a
a + b * (d * e + f)   a
a + b * (d * e + f)   a +
a + b * (d * e + f)   a +
a + b * (d * e + f)   a b   +
a + b * (d * e + f)   a b   +
a + b * (d * e + f)   a b   +*
a + b * (d * e + f)   a b   +*
a + b * (d * e + f)   a b   +*(
a + b * (d * e + f)   a b d   +*(
a + b * (d * e + f)   a b d   +*(
a + b * (d * e + f)   a b d   +*(*
a + b * (d * e + f)   a b d   +*(*
a + b * (d * e + f)   a b d e   +*(*
a + b * (d * e + f)   a b d e   +*(*
a + b * (d * e + f)   a b d e *   +*(+
a + b * (d * e + f)   a b d e *   +*(+
a + b * (d * e + f)   a b d e * f   +*(+
a + b * (d * e + f)   a b d e * f+   +*
a + b * (d * e + f)   a b d e * f+*+

Thus the POSTfix would be:
a b d e * f+*+

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venereology answered 2 hours ago

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