EBK STARTING OUT WITH C++ FROM CONTROL
9th Edition
ISBN: 8220106714379
Author: GADDIS
Publisher: PEARSON
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Chapter 19, Problem 22RQE
Program Plan Intro
Stack:
A stack is type of container. It performs “Last In First Out”.
- In stack, the item which is inserted at last will be retrieved first.
- A stack can perform two operations. They are:
- Push – Inserting an element inside a stack.
- When the first element is pushed into the stack, the element will be at the “top” the stack. When the second element is added, the first element is pushed down and the second element will be at the top position, like this it goes on until the element which pushed at last will be at the top of the stack.
- Pop – Deleting an element from the stack.
- The element which is inserted at last will be deleted first.
- Push – Inserting an element inside a stack.
- The elements can be inserted and retrieved at any one end of the stack.
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2. Signed Integers
Unsigned binary numbers work for natural numbers, but many calculations use negative
numbers as well. To deal with this, a number of different methods have been used to represent
signed numbers, but we will focus on two's complement, as it is the standard solution for
representing signed integers.
2.1 Two's complement
• Most significant bit has a negative value, all others are positive. So, the value of an n-digit
-2
two's complement number can be written as: Σ2 2¹ di 2n-1 dn
• Otherwise exactly the same as unsigned integers.
i=0
-
• A neat trick for flipping the sign of a two's complement number: flip all the bits (0 becomes 1,
or 1 becomes 0) and then add 1 to the least significant bit.
• Addition is exactly the same as with an unsigned number.
2.2 Exercises
For questions 1-3, answer each one for the case of a two's complement number and an
unsigned number, indicating if it cannot be answered with a specific representation.
1. (15 pts) What is the largest integer…
can u solve this question
1. Unsigned Integers
If we have an n-digit unsigned numeral dn-1d n-2...do in radix (or base) r, then the value of that
numeral is
n−1
r² di
Σi=0
which is basically saying that instead of a 10's or 100's place we have an r's or
r²'s place. For binary, decimal, and hex r equals 2, 10, and 16, respectively.
Just a reminder that in order to write down a large number, we typically use the IEC or SI
prefixing system:
IEC: Ki = 210, Mi = 220, Gi = 230, Ti = 240, Pi = 250, Ei = 260, Zi = 270, Yi = 280;
SI: K=103, M = 106, G = 109, T = 10¹², P = 1015, E = 10¹8, Z = 1021, Y = 1024.
1.1 Conversions
a. (15 pts) Write the following using IEC prefixes: 213, 223, 251, 272, 226, 244
21323 Ki8 Ki
223 23 Mi 8 Mi
b. (15 pts) Write the following using SI prefixes: 107, 10¹7, 10¹¹, 1022, 1026, 1015
107 10¹ M = 10 M
=
1017102 P = 100 P
c. (10 pts) Write the following with powers of 10: 7 K, 100 E, 21 G
7 K = 7*10³
Chapter 19 Solutions
EBK STARTING OUT WITH C++ FROM CONTROL
Ch. 19.1 - Describe what LIFO means.Ch. 19.1 - What is the difference between static and dynamic...Ch. 19.1 - What are the two primary stack operations?...Ch. 19.1 - What STL types does the STL stack container adapt?Ch. 19 - Prob. 1RQECh. 19 - Prob. 2RQECh. 19 - What is the difference between a static stack and...Ch. 19 - Prob. 4RQECh. 19 - Prob. 5RQECh. 19 - The STL stack is considered a container adapter....
Ch. 19 - What types may the STL stack be based on? By...Ch. 19 - Prob. 8RQECh. 19 - Prob. 9RQECh. 19 - Prob. 10RQECh. 19 - Prob. 11RQECh. 19 - Prob. 12RQECh. 19 - Prob. 13RQECh. 19 - Prob. 14RQECh. 19 - Prob. 15RQECh. 19 - Prob. 16RQECh. 19 - The STL stack container is an adapter for the...Ch. 19 - Prob. 18RQECh. 19 - Prob. 19RQECh. 19 - Prob. 20RQECh. 19 - Prob. 21RQECh. 19 - Prob. 22RQECh. 19 - Prob. 23RQECh. 19 - Prob. 24RQECh. 19 - Prob. 25RQECh. 19 - Prob. 26RQECh. 19 - Write two different code segments that may be used...Ch. 19 - Prob. 28RQECh. 19 - Prob. 29RQECh. 19 - Prob. 30RQECh. 19 - Prob. 31RQECh. 19 - Prob. 32RQECh. 19 - Prob. 1PCCh. 19 - Prob. 2PCCh. 19 - Prob. 3PCCh. 19 - Prob. 4PCCh. 19 - Prob. 5PCCh. 19 - Dynamic String Stack Design a class that stores...Ch. 19 - Prob. 7PCCh. 19 - Prob. 8PCCh. 19 - Prob. 9PCCh. 19 - Prob. 10PCCh. 19 - Prob. 11PCCh. 19 - Inventory Bin Stack Design an inventory class that...Ch. 19 - Prob. 13PCCh. 19 - Prob. 14PCCh. 19 - Prob. 15PC
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