Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 2, Problem 2.23PE
(Cost of driving) 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…
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 2 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 2.2 - Identify and fix the errors in the following code:...Ch. 2.3 - How do you write a statement to let the user enter...Ch. 2.3 - Prob. 2.3.2CPCh. 2.4 - Prob. 2.4.1CPCh. 2.5 - Identify and fix the errors in the following code:...Ch. 2.6 - Identify and fix the errors in the following code:...Ch. 2.7 - Prob. 2.7.1CPCh. 2.8 - Prob. 2.8.1CPCh. 2.8 - Translate the following algorithm into Java code:...Ch. 2.9 - Prob. 2.9.1CP
Ch. 2.9 - Prob. 2.9.2CPCh. 2.9 - Prob. 2.9.3CPCh. 2.9 - Prob. 2.9.4CPCh. 2.9 - Prob. 2.9.5CPCh. 2.9 - Prob. 2.9.6CPCh. 2.9 - Write a statement to display the result of 23.5.Ch. 2.9 - Suppose m and r are integers. Write a Java...Ch. 2.10 - How many accurate digits are stored in a f1oat or...Ch. 2.10 - Prob. 2.10.2CPCh. 2.10 - Prob. 2.10.3CPCh. 2.10 - Which of the following are correct literals?...Ch. 2.11 - How would you write the following arithmetic...Ch. 2.12 - Prob. 2.12.1CPCh. 2.13 - Prob. 2.13.1CPCh. 2.14 - Which of these statements are true? a. Any...Ch. 2.14 - Show the output of the following code: int a = 6;...Ch. 2.15 - Prob. 2.15.1CPCh. 2.15 - Prob. 2.15.2CPCh. 2.15 - Show the following output: float f =12.5F; int i =...Ch. 2.15 - If you change (int) (tax 100) / 100.0 to (int)...Ch. 2.15 - Prob. 2.15.5CPCh. 2.15 - Write an expression that rounds up a double value...Ch. 2.16 - How would you write the following arithmetic...Ch. 2.17 - Show the output of Listing 2.10 with the input...Ch. 2.18 - Can you declare a variable as int and later...Ch. 2.18 - Prob. 2.18.2CPCh. 2.18 - Will overflow cause a runtime error?Ch. 2.18 - Prob. 2.18.4CPCh. 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 2.7. ShowCurrentTime.java,...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: computing BMI) Body Mass...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 - (Financial application: calculate interest) If you...Ch. 2 - (Financial application: calculate future...Ch. 2 - (Financial application: monetary units) Rewrite...Ch. 2 - (Cost of driving) Write a program that prompts the...
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