Introduction to Programming with C++, 3rd edition
3rd Edition
ISBN: 9780133377477
Author: Y. Daniel Liang
Publisher: Pearson Academic Computing
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Textbook Question
Chapter 2, Problem 18CP
Suppose m and r are integers. Write a
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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…
Chapter 2 Solutions
Introduction to Programming with C++, 3rd edition
Ch. 2 - Show the output of the following code:
Ch. 2 - How do you write the statements to let the user...Ch. 2 - Prob. 3CPCh. 2 - Which of the following identifiers are valid?...Ch. 2 - Identify and fix the errors in the following...Ch. 2 - Prob. 6CPCh. 2 - Prob. 7CPCh. 2 - Translate the following algorithm into code:
Step...Ch. 2 - Prob. 9CPCh. 2 - Prob. 10CP
Ch. 2 - Prob. 11CPCh. 2 - Prob. 12CPCh. 2 - Prob. 13CPCh. 2 - Prob. 14CPCh. 2 - Prob. 15CPCh. 2 - Are the following statements correct? If so, show...Ch. 2 - Write a statement to display the result of 23.5.Ch. 2 - Suppose m and r are integers. Write a C++...Ch. 2 - How would you write the following arithmetic...Ch. 2 - Prob. 20CPCh. 2 - Prob. 21CPCh. 2 - Which of the following statements are true?
a....Ch. 2 - Show the printout of the following code:
Ch. 2 - Prob. 24CPCh. 2 - Prob. 25CPCh. 2 - Prob. 26CPCh. 2 - Show the following output;
Ch. 2 - If you change in line 12 in Listing 2.10, what...Ch. 2 - Show the printout of the following code:
Ch. 2 - How would you write the following arithmetic...Ch. 2 - (Convert Celsius to Fahrenheit) Write a program...Ch. 2 - (Compute the volume of a cylinder) Write a program...Ch. 2 - (Convert feet into meters) Write a program that...Ch. 2 - (Convert pounds into kilograms) Write a program...Ch. 2 - (Financial application: calculate tips) Write a...Ch. 2 - (Sum the digits in an integer) Write a program...Ch. 2 - (Find the number of years) Write a program that...Ch. 2 - (Current time) Listing 2.9, ShowCurrentTime.cpp,...Ch. 2 - (Physics: acceleration) Average acceleration is...Ch. 2 - (Science: calculating energy) Write a program that...Ch. 2 - (Population projection) Rewrite Programming...Ch. 2 - (Physics: finding runway length) Given an...Ch. 2 - (Financial application: compound value) Suppose...Ch. 2 - (Health application: BMP) Body Mass Index (BMI) is...Ch. 2 - (Geometry: distance of two points) Write a program...Ch. 2 - (Geometry: area of a hexagon) Write a program that...Ch. 2 - (Science: wind-chill temperature) How cold is it...Ch. 2 - (Print a table) Write a program that displays the...Ch. 2 - (Geometry: area of a triangle) Write a program...Ch. 2 - (Slope of a line) Write a program that prompts the...Ch. 2 - (Cost of driving) Write a program that prompts the...Ch. 2 - (Financial application: calculate interest) If you...Ch. 2 - (Financial application: future investment value)...Ch. 2 - Prob. 24PE
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- can u solve this questionarrow_forward1. 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*10³arrow_forwardanswer shoul avoid using AI and should be basic and please explainarrow_forward
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