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2. (Postfix notation) Postfix notation is a way of writing expressions without using parentheses. For example, the expression (1+2) * 3 would be written as 1 2 + 3 *. A postfix expression is evaluated using a stack. Scan a postfix expression from left to right. A variable or constant is pushed into the stack. When an operator is encountered, apply the operator with the top two operands in the stack and replace the two operands with the result. The following -diagram shows how to evaluate 1 2 + 3 *: 2 3 1 1 3 3 9 12+3* 1 2 + 3 * 1 2 + 3 * 1 2 + 3 * 1 2 + 3 * scanned scanned scanned scanned scanned Evaluating an expression in postfix notation, using the stack. Write a program to evaluate postfix expressions.

2. (Postfix notation) Postfix notation is a way of writing expressions without using parentheses. For example, the expression (1+2) * 3 would be written as 1 2 + 3 *. A postfix expression is evaluated using a stack. Scan a postfix expression from left to right. A variable or constant is pushed into the stack. When an operator is encountered, apply the operator with the top two operands in the stack and replace the two operands with the result. The following -diagram shows how to evaluate 1 2 + 3 *: 2 3 1 1 3 3 9 12+3* 1 2 + 3 * 1 2 + 3 * 1 2 + 3 * 1 2 + 3 * scanned scanned scanned scanned scanned Evaluating an expression in postfix notation, using the stack. Write a program to evaluate postfix expressions.

Database System Concepts
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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2. (Postfix notation) Postfix notation is a way of writing expressions without using parentheses. For example, the expression (1 + 2) * 3 would be written as 1 2 + 3 *. A postfix expression is evaluated using a stack. Scan a postfix expression from left to right. A variable or constant is pushed into the stack. When an operator is encountered, apply the operator with the top two operands in the stack and replace the two operands with the result. The following -diagram shows how to evaluate 1 2 + 3 *: 3 2 1 1 3 3 9 1 2 + 3 * 1 2 + 3 * 1 2 + 3 * 1 2 + 3 * 1 2 + 3 * scanned scanned scanned scanned scanned Evaluating an expression in postfix notation, using the stack. Write a program to evaluate postfix expressions.
Transcribed Image Text:2. (Postfix notation) Postfix notation is a way of writing expressions without using parentheses. For example, the expression (1 + 2) * 3 would be written as 1 2 + 3 *. A postfix expression is evaluated using a stack. Scan a postfix expression from left to right. A variable or constant is pushed into the stack. When an operator is encountered, apply the operator with the top two operands in the stack and replace the two operands with the result. The following -diagram shows how to evaluate 1 2 + 3 *: 3 2 1 1 3 3 9 1 2 + 3 * 1 2 + 3 * 1 2 + 3 * 1 2 + 3 * 1 2 + 3 * scanned scanned scanned scanned scanned Evaluating an expression in postfix notation, using the stack. Write a program to evaluate postfix expressions.
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