Problem Solving with C++ plus MyProgrammingLab with Pearson eText-- Access Card Package (9th Edition)
9th Edition
ISBN: 9780133862218
Author: Walter Savitch
Publisher: PEARSON
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Textbook Question
Chapter 2.3, Problem 15STE
Convert each of the following mathematical formulas to a C++ expression:
3x 3x+y x+y 7 3x+y z+2
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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
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Chapter 2 Solutions
Problem Solving with C++ plus MyProgrammingLab with Pearson eText-- Access Card Package (9th Edition)
Ch. 2.1 - Give the declaration for two variables called feet...Ch. 2.1 - Give the declaration for two variables called...Ch. 2.1 - Give a C++ statement that will change the value of...Ch. 2.1 - Give a C++ statement that will increase the value...Ch. 2.1 - Give a C++ statement that will change the value of...Ch. 2.1 - Prob. 6STECh. 2.1 - Prob. 7STECh. 2.2 - Give an output statement that will produce the...Ch. 2.2 - Give an input statement that will fill the...Ch. 2.2 - Prob. 10STE
Ch. 2.2 - Write a complete C++ program that writes the...Ch. 2.2 - Write a complete C++ program that reads in two...Ch. 2.2 - Prob. 13STECh. 2.2 - Write a short program that declares and...Ch. 2.3 - Convert each of the following mathematical...Ch. 2.3 - Prob. 16STECh. 2.3 - What is the output of the following program lines...Ch. 2.3 - Write a complete C++ program that reads two whole...Ch. 2.3 - Given the following fragment that purports to...Ch. 2.3 - What is the output of the following program lines...Ch. 2.4 - Write an if-else statement that outputs the word...Ch. 2.4 - Suppose savings and expenses are variables of type...Ch. 2.4 - Write an if-else statement that outputs the word...Ch. 2.4 - Write an if-else statement that outputs the word...Ch. 2.4 - Consider a quadratic expression, say x2 x 2...Ch. 2.4 - Consider the quadratic expression x2 4x + 3...Ch. 2.4 - What is the output of the following cout...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - What output would be produced in the previous...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - What is the most important difference between a...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - Write a complete C++ program that outputs the...Ch. 2.5 - The following if-else statement will compile and...Ch. 2.5 - Prob. 36STECh. 2.5 - Write a complete C++ program that asks the user...Ch. 2 - A metric ton is 35,273.92 ounces. Write a program...Ch. 2 - The Babylonian algorithm to compute the square...Ch. 2 - Many treadmills output the speed of the treadmill...Ch. 2 - Write a program that plays the game of Mad Lib....Ch. 2 - The following is a short program that computes the...Ch. 2 - A government research lab has concluded that an...Ch. 2 - Workers at a particular company have won a 7.6%...Ch. 2 - Modify your program from Programming Project 2 so...Ch. 2 - Negotiating a consumer loan is not always...Ch. 2 - Write a program that determines whether a meeting...Ch. 2 - Prob. 6PPCh. 2 - It is difficult to make a budget that spans...Ch. 2 - You have just purchased a stereo system that cost...Ch. 2 - Write a program that reads in ten whole numbers...Ch. 2 - Modify your program from Programming Project 9 so...Ch. 2 - Sound travels through air as a result of...Ch. 2 - Prob. 12PPCh. 2 - The HarrisBenedict equation estimates the number...Ch. 2 - Write a program that calculates the total grade...Ch. 2 - It is important to consider the effect of thermal...
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