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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Textbook Question
Chapter 8, Problem 8.22PE
(Even number of 1s) 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 8 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 8.2 - Declare an array reference variable for a...Ch. 8.2 - Prob. 8.2.2CPCh. 8.2 - What is the output of the following code? int[] []...Ch. 8.2 - Which of the following statements are valid? int...Ch. 8.3 - Show the output of the following code: int[][]...Ch. 8.3 - Show the output of the following code: int[][]...Ch. 8.4 - Show the output of the following code: public...Ch. 8.5 - Prob. 8.5.1CPCh. 8.6 - What happens if the input has only one point?Ch. 8.7 - What happens if the code in line 51 in Listing 8.4...
Ch. 8.8 - Declare an array variable for a three-dimensional...Ch. 8.8 - Assume char[][][] x =new char[12][5][2], how many...Ch. 8.8 - Show the output of the following code: int[][][]...Ch. 8 - (Sum elements column by column) Write a method...Ch. 8 - (Sum the major diagonal in a matrix) Write a...Ch. 8 - (Sort students on grades) Rewrite Listing 8.2,...Ch. 8 - (Compute the weekly hours for each employee)...Ch. 8 - (Algebra: add two matrices) Write a method to add...Ch. 8 - (Algebra: multiply two matrices) Write a method to...Ch. 8 - (Points nearest to each other) Listing 8.3 gives a...Ch. 8 - (All closest pairs of points) Revise Listing 8.3,...Ch. 8 - Prob. 8.9PECh. 8 - (Largest row and column) Write a program that...Ch. 8 - (Game: nine heads and tails) Nine coins are placed...Ch. 8 - (Financial application: compute tax) Rewrite...Ch. 8 - (Locate the largest element) Write the following...Ch. 8 - (Explore matrix) Write a program that prompts the...Ch. 8 - (Geometry: same line ?) Programming Exercise 6.39...Ch. 8 - (Sort two-dimensional array) Write a method to...Ch. 8 - (Financial tsunami) Banks lend money to each...Ch. 8 - (Shuffle rows) Write a method that shuffles the...Ch. 8 - (Pattern recognition: four consecutive equal...Ch. 8 - Prob. 8.20PECh. 8 - (Central city) Given a set of cities, the central...Ch. 8 - (Even number of 1s) Write a program that generates...Ch. 8 - (Game: find the flipped cell) Suppose you are...Ch. 8 - (Check Sudoku solution) Listing 8.4 checks whether...Ch. 8 - Prob. 8.25PECh. 8 - (Row sorting) Implement the following method to...Ch. 8 - (Column sorting) Implement the following method to...Ch. 8 - (Strictly identical arrays) The two-dimensional...Ch. 8 - (Identical arrays) The two-dimensional arrays m1...Ch. 8 - (Algebra: solve linear equations) Write a method...Ch. 8 - (Geometry: intersecting point) Write a method that...Ch. 8 - (Geometry: area of a triangle) Write a method that...Ch. 8 - (Geometry: polygon subareas) A convex four-vertex...Ch. 8 - (Geometry: rightmost lowest point) In...Ch. 8 - (Largest block) Given a square matrix with the...Ch. 8 - (Latin square) A Latin square is an n-by-n array...Ch. 8 - (Guess the capitals) Write a program that...
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