Given the following expression: a − b * c / d + e * f − g / h. A. Using the rules of precedence write this expression with parentheses and/or square bracketshow the order of evaluation of the infix expression, by: first evaluating * and / from left to right, and then evaluating + and − from left to right. B. Create the binary infix tree for this expression (WITHOUT parentheses or square brackets). C. Show the prefix expression corresponding to the infix tree.

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
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Given the following expression:

a − b * c / d + e * f − g / h.

A. Using the rules of precedence write this expression with parentheses and/or square bracketshow the order of evaluation of the infix expression, by:


first evaluating * and / from left to right, and
then evaluating + and − from left to right.

B. Create the binary infix tree for this expression (WITHOUT parentheses or square brackets).

C. Show the prefix expression corresponding to the infix tree.

D. Show the postfix expression corresponding to the infix tree.

Then let a = -2, b = -1, c = 0, d = 1, e = 2, f = 3, g = 4, and h = 2, and using these values:

i. Show each step in the order of evaluation for a), above

ii. Show each step in the order of evaluation for c), above

iii. Show each step in the order of evaluation for d), above

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