postfix notation is an unambiguous way of writing an arithmetic expression without parentheses. It is defined so that if “(exp₁) op (exp₂)” is a normal (infix) fully parenthesized expression with opera- tion op, then its postfix equivalent is “pexp₁ pexp2 op”, where pexp₁ is the postfix version of exp₁ and pexp 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 the infix expression “((5+2) ⋆ (8 − 3))/4” is “5 2 + 8 3 − * 4 /". Give an efficient algorithm for converting an infix arithmetic expression to its equivalent postfix notation. (Hint: First convert the infix expression into its equivalent binary tree representation.) examples: Infix: ((5+2)*(8−3))/4 Postfix: 52 +8 3 − * 4 / Infix: 2*20/2+(3+4)*3^2-6+15 Postfix: 2 20 * 2 / 34+32^*+ 6 - 15 +

postfix notation is an unambiguous way of writing an arithmetic expression without parentheses. It is defined so that if “(exp₁) op (exp₂)” is a normal (infix) fully parenthesized expression with opera- tion op, then its postfix equivalent is “pexp₁ pexp2 op”, where pexp₁ is the postfix version of exp₁ and pexp 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 the infix expression “((5+2) ⋆ (8 − 3))/4” is “5 2 + 8 3 − * 4 /". Give an efficient algorithm for converting an infix arithmetic expression to its equivalent postfix notation. (Hint: First convert the infix expression into its equivalent binary tree representation.) examples: Infix: ((5+2)(8−3))/4 Postfix: 52 +8 3 − 4 / Infix: 220/2+(3+4)3^2-6+15 Postfix: 2 20 * 2 / 34+32^*+ 6 - 15 +

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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