Discrete Mathematics
Discrete Mathematics
5th Edition
ISBN: 9780134689562
Author: Dossey, John A.
Publisher: Pearson,
bartleby

Videos

Question
Book Icon
Chapter 3.5, Problem 8E
To determine

The codeword corresponding to the message word 0111, if the generator matrix for a (4,8)-code is [10001010010001010010011000011001].

Blurred answer
Students have asked these similar questions
5. The volume V of a given mass of monoatomic gas changes with temperat re T according to the relation V = KT2/3. The work done when temperature changes by 90 K will be xR. The value of x is (a) 60 (b)20 (c)30 S (d)90
Consider a matrix 3 -2 1 A = 0 5 4 -6 2 -1 Define matrix B as transpose of the inverse of matrix A. Find the determinant of matrix A + B.
For each of the time​ series, construct a line chart of the data and identify the characteristics of the time series​ (that is,​ random, stationary,​ trend, seasonal, or​ cyclical). Year    Month    Rate (%)2009    Mar    8.72009    Apr    9.02009    May    9.42009    Jun    9.52009    Jul    9.52009    Aug    9.62009    Sep    9.82009    Oct    10.02009    Nov    9.92009    Dec    9.92010    Jan    9.82010    Feb    9.82010    Mar    9.92010    Apr    9.92010    May    9.62010    Jun    9.42010    Jul    9.52010    Aug    9.52010    Sep    9.52010    Oct    9.52010    Nov    9.82010    Dec    9.32011    Jan    9.12011    Feb    9.02011    Mar    8.92011    Apr    9.02011    May    9.02011    Jun    9.12011    Jul    9.02011    Aug    9.02011    Sep    9.02011    Oct    8.92011    Nov    8.62011    Dec    8.52012    Jan    8.32012    Feb    8.32012    Mar    8.22012    Apr    8.12012    May    8.22012    Jun    8.22012    Jul    8.22012    Aug    8.12012    Sep    7.82012    Oct…

Chapter 3 Solutions

Discrete Mathematics

Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - In Exercises 9–16, determine whether p ≡ q (mod...Ch. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - In Exercises 17–36, perform the indicated...Ch. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - In Exercises 17–36, perform the indicated...Ch. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - In Exercises 17–36, perform the indicated...Ch. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - A hospital heart monitoring device uses two feet...Ch. 3.1 - Prob. 39ECh. 3.1 - Use Example 3.2 to determine the correct check...Ch. 3.1 - Prob. 41ECh. 3.1 - Federal Express packages carry a 10-digit...Ch. 3.1 - Prob. 43ECh. 3.1 - Use the formula in Example 3.7 to determine all...Ch. 3.1 - Let A denote the equivalence class containing 4 in...Ch. 3.1 - Prob. 46ECh. 3.1 - Let R be the equivalence relation defined in...Ch. 3.1 - Show that there exist integers m, x, and y such...Ch. 3.1 - Prob. 49ECh. 3.1 - A project has the nine tasks T1, T2, T3, T4, T5,...Ch. 3.1 - Prob. 51ECh. 3.1 - Prob. 52ECh. 3.2 - List, in increasing order, the divisors of 45 Ch. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - List, in increasing order, the common divisors of...Ch. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - In Exercises 5–10, make a table such as the one...Ch. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - In Exercises 13–18, make a table such as the one...Ch. 3.2 - Prob. 19ECh. 3.2 - In Exercises 19–22, use the Euclidean algorithm to...Ch. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - In Exercises 23–26, use the extended Euclidean...Ch. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.3 - Prob. 1ECh. 3.3 - In Exercises 1–4, change the given plaintext...Ch. 3.3 - Prob. 3ECh. 3.3 - In Exercises 1–4, change the given plaintext...Ch. 3.3 - Prob. 5ECh. 3.3 - In Exercises 5–10, apply the modular...Ch. 3.3 - Prob. 7ECh. 3.3 - In Exercises 5–10, apply the modular...Ch. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - In Exercises 11–14, find b corresponding to the...Ch. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - In Exercises 15–22, use the extended Euclidean...Ch. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Suppose n = 93, E = 17, and the ciphertext message...Ch. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.4 - In Exercises 1–8, determine the parity check digit...Ch. 3.4 - In Exercises 1–8, determine the parity check digit...Ch. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - In Exercises 1–8, determine the parity check digit...Ch. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - In Exercises 9–16, use formula (3.1) to determine...Ch. 3.4 - Prob. 13ECh. 3.4 - In Exercises 9–16, use formula (3.1) to determine...Ch. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - In Exercises 17–24, determine the Hamming distance...Ch. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - In Exercises 25–32, add the given codewords using...Ch. 3.4 - In Exercises 33–36, suppose that the minimal...Ch. 3.4 - In Exercises 33–36, suppose that the minimal...Ch. 3.4 - In Exercises 33–36, suppose that the minimal...Ch. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 41ECh. 3.5 - Prob. 1ECh. 3.5 - In Exercises 1–4, determine the number of words in...Ch. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - In Exercises 5–8, suppose that the generator...Ch. 3.5 - Prob. 9ECh. 3.5 - Prob. 10ECh. 3.5 - In Exercises 9–12, determine the size of the check...Ch. 3.5 - In Exercises 9–12, determine the size of the check...Ch. 3.5 - If the check matrix of a matrix code is a 9 × 3...Ch. 3.5 - If the check matrix of a matrix code is an 11 × 4...Ch. 3.5 - Prob. 15ECh. 3.5 - In Exercises 15–20, determine all the codewords...Ch. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - In Exercises 21–28, determine the check matrix...Ch. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Exercises 29 and 30, the check matrix A* for a...Ch. 3.5 - Prob. 31ECh. 3.5 - In Exercises 31–38, use Theorem 3.8(b) to...Ch. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Prob. 39ECh. 3.5 - Consider the (3, 7)-code with generator...Ch. 3.5 - Prob. 41ECh. 3.5 - Find the generator matrix of the code that encodes...Ch. 3.5 - Prob. 43ECh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - In Exercises 1–8, determine the syndrome of each...Ch. 3.6 - In Exercises 1–8, determine the syndrome of each...Ch. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - In Exercises 9–28, the given word was received...Ch. 3.6 - Prob. 21ECh. 3.6 - In Exercises 9–28, the given word was received...Ch. 3.6 - In Exercises 9–28, the given word was received...Ch. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - In Exercises 29 and 30, a check matrix and a list...Ch. 3.6 - Prob. 31ECh. 3.6 - Prob. 32ECh. 3.6 - Prob. 33ECh. 3.6 - In Exercises 31–34, determine the minimal value of...Ch. 3.6 - Prob. 35ECh. 3.6 - Prob. 36ECh. 3.6 - Prob. 37ECh. 3.6 - In Exercises 35–38, determine the smallest values...Ch. 3.6 - Prob. 39ECh. 3.6 - Prob. 40ECh. 3.6 - Prob. 41ECh. 3.6 - Prove by mathematical induction that r2 + 1 ≤ 2r...Ch. 3 - Prob. 1SECh. 3 - Prob. 2SECh. 3 - Determine whether each statement in Exercises 1–4...Ch. 3 - Prob. 4SECh. 3 - Prob. 5SECh. 3 - Prob. 6SECh. 3 - Prob. 7SECh. 3 - Prob. 8SECh. 3 - Prob. 9SECh. 3 - Prob. 10SECh. 3 - Prob. 11SECh. 3 - Prob. 12SECh. 3 - Prob. 13SECh. 3 - Prob. 14SECh. 3 - Prob. 15SECh. 3 - Prob. 16SECh. 3 - Prob. 17SECh. 3 - Prob. 18SECh. 3 - Prob. 19SECh. 3 - Prob. 20SECh. 3 - Prob. 21SECh. 3 - Prob. 22SECh. 3 - Prob. 23SECh. 3 - Prob. 24SECh. 3 - Prob. 25SECh. 3 - Prob. 26SECh. 3 - Prob. 27SECh. 3 - Prob. 28SECh. 3 - Prob. 29SECh. 3 - Prob. 30SECh. 3 - Prob. 31SECh. 3 - Prob. 32SECh. 3 - Prob. 33SECh. 3 - Prob. 34SECh. 3 - Prob. 35SECh. 3 - Prob. 36SECh. 3 - Prob. 37SECh. 3 - Prob. 38SECh. 3 - Prob. 39SECh. 3 - Prob. 40SECh. 3 - Prob. 41SECh. 3 - Prob. 42SECh. 3 - Prob. 43SECh. 3 - Prob. 44SECh. 3 - Prob. 45SECh. 3 - Prob. 46SECh. 3 - Prob. 47SECh. 3 - Prob. 48SECh. 3 - Prob. 49SECh. 3 - Prob. 50SECh. 3 - Prob. 51SECh. 3 - Prob. 52SECh. 3 - Prob. 53SECh. 3 - Prob. 54SECh. 3 - Prob. 55SECh. 3 - Prob. 56SECh. 3 - Prob. 57SECh. 3 - Prob. 58SECh. 3 - Prob. 59SECh. 3 - Prob. 60SECh. 3 - Prob. 62SECh. 3 - Prob. 63SECh. 3 - Prob. 64SECh. 3 - Prob. 65SECh. 3 - Prob. 66SECh. 3 - Prob. 67SECh. 3 - Prob. 68SECh. 3 - Prob. 69SECh. 3 - Prob. 70SECh. 3 - Prob. 71SECh. 3 - Prob. 72SECh. 3 - Prob. 73SECh. 3 - Prob. 2CPCh. 3 - Prob. 3CPCh. 3 - Prob. 4CPCh. 3 - Prob. 5CPCh. 3 - Prob. 6CPCh. 3 - Prob. 7CP
Knowledge Booster
Background pattern image
Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Text book image
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Text book image
Calculus Volume 1
Math
ISBN:9781938168024
Author:Strang, Gilbert
Publisher:OpenStax College
Text book image
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Text book image
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Graph Theory: Euler Paths and Euler Circuits; Author: Mathispower4u;https://www.youtube.com/watch?v=5M-m62qTR-s;License: Standard YouTube License, CC-BY
WALK,TRIAL,CIRCUIT,PATH,CYCLE IN GRAPH THEORY; Author: DIVVELA SRINIVASA RAO;https://www.youtube.com/watch?v=iYVltZtnAik;License: Standard YouTube License, CC-BY