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Authors:
Michael T. Goodrich, Roberto Tamassia, Michael H. Goldwasser
Chapter:
Stacks, Queues, And Deques
Exercise:
Exercises
Question:19 | ISBN:9781118771334 | Edition: 6

Question

Postfix notation is an unambiguousway of writing an arithmetic expressionwithout parentheses. It is defined so that if “(exp1)op(exp2)” is a normal fully parenthesized expression whose operation is op, the postfix version of this is “pexp1 pexp2 op”, where pexp1 is the postfix version of exp1 and pexp2 is the postfix version of exp2. The postfix version of a single number or variable is just that number or variable. So, for example, the postfix version of “((5+2) ∗ (8−3))/4” is “5 2 + 8 3 − ∗ 4 /”. Describe a nonrecursive way of evaluating an expression in
postfix notation.

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