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 *: 1.1 12+3* scanned 12+3* A scanned 3 12+3* scanned 3 12+3* scanned 9 12+3* scanned

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 : 1.1 12+3* scanned 12+3* A scanned 3 12+3* scanned 3 12+3* scanned 9 12+3* scanned

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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Question

input:
23+7*
26+9/
14 2 + 160/
99 2 + 50/24 -
100 4/3 * 20 +
143 *19 + 12/3+7*
23 7 + 10 * 14 + 19 - 22 * 16/
output:
expression 23 +7* evaluates to 35
expression 2 6 + 9 / evaluates to 0
expression 14 2 + 160/ evaluates to 0
expression 99 2 + 50 / 24 - evaluates to -22
expression 100 4/3 * 20+ evaluates to 95
expression 14 3 * 19 + 12/3 + 7* evaluates to 56
expression 23 7 + 10 * 14 + 19 - 22 * 16/ evaluates to 405

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 *:
12+3*
scanned
2
12+3*
scanned
3
12+ 3
scanned
3
3
12+3*
scanned
|₂|
9
12+ 3
scanned
Create a stack module that uses myStack.h and myStack.cpp by
implementing the api described in myStack.h. Write a test driver
named stackTest that uses your stack code to processes the Reverse
Polish notation examples given below. Submit the myStack.h,
myStack.cpp, and mystackTest.cpp to class myStack.
Here is a list of a few RPN expressions you can try and their
corresponding arithmetic values. These RPN expression are to be
read from a file named rpnArithmetic.txt

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