Suppose we want to transmit the message 1011 0010 0100 1011 and protect it from errors using the CRC-8 polynomial x8 + x² + x¹ + 1. (a) Use polynomial long division to determine the message that should be trans- mitted. (b) Suppose the leftmost bit of the message is inverted due to noise on the trans- mission link. What is the result of the receiver's CRC calculation? How does the receiver know that an error has occurred?

Suppose we want to transmit the message 1011 0010 0100 1011 and protect it from errors using the CRC-8 polynomial x8 + x² + x¹ + 1. (a) Use polynomial long division to determine the message that should be trans- mitted. (b) Suppose the leftmost bit of the message is inverted due to noise on the trans- mission link. What is the result of the receiver's CRC calculation? How does the receiver know that an error has occurred?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: How many faults may be found in a message using parity bits?

A: Given: How many faults may be found in a message using parity bits?

Q: errors in a message that can be detected by a parity bit

A: A single parity bit normally detects a single bit error. However, it can also detect any odd number…

Q: Q2/ The following data stream (10011011 11001110 11110000 10001000 11100000 11011010 11111111…

A: IntrodcutionIn digital systems, the analog signals will change into digital sequence (in the form of…

Q: How many parity bits are the most that can be found in a message?

A: A binary coding string is supplemented by a parity or check bit. Error detection is made easy by…

Q: Please say if there was a mistake in the following situation. The number "001011010" is sent to the…

A: Introduction: Authentication is a fundamental security need for vehicle-to-vehicle (VANET) systems.…

Q: Assume bit stream of 1110010 as data, polynomial X²+X as divisor. Using the Cyclic Redundancy Check…

A: The Cyclic Redundancy Check (CRC) algorithm is an error-detection technique widely used in data…

Q: Consider the information sequence 1101 and suppose g(x) = x^3 + x + 1. The codeword of this…

A: Answer:TRUE

Q: 2. Using the CRC polynomial 10101 (= x² + x³ + 1), a. How many bits a sender append to this…

A: A codeword is a sequence of symbols or characters used in coding theory and telecommunications to…

Q: What is the greatest number of faults that a parity bit can identify in a message?

A: The answer is with a handwritten diagram

Q: 1.) this is the data stream 110101010101 and these are the following pseudonoise code: .)…

A: It is defined as the computer networks that are not connected by cables are called wireless…

Q: How many faults in a message can a parity bit detect at once?

A: A parity bit is a simple error detection technique commonly used in data communication. It is an…

Q: How many faults at once can a parity bit identify in a message?

A: A parity bit is used for error detection in digital communication systems. It adds a single…

Q: How many errors may be detected using parity bits in a message?

A: The answer for the above mentioned question is given in the below steps for your reference.

Concept explainers

Types Of Protocols

A network protocol is a collection of rules that governs the exchange of data between devices connected to the same network. In other words, network protocols are rules that specify how devices communicate or transfer data over a network. The sender and receiver systems must obey the standards to facilitate communication between them.

Question

Suppose we want to transmit the message 1011 0010 0100 1011 and protect it from
errors using the CRC-8 polynomial x8 + x² + x¹ + 1.
(a) Use polynomial long division to determine the message that should be trans-
mitted.
(b) Suppose the leftmost bit of the message is inverted due to noise on the trans-
mission link. What is the result of the receiver's CRC calculation? How does
the receiver know that an error has occurred?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Suppose we want to transmit the message 101100100100 1011 and protect it from errors using the CRC-8 polynomial x8 + x² + x¹ + 1. (a) Use polynomial long division to determine the message that should be trans- mitted. (b) Suppose the leftmost bit of the message is inverted due to noise on the trans- mission link. What is the result of the receiver's CRC calculation? How does the receiver know that an error has occurred?
Enter all of the various kinds of numerical information. In SQL
. Using the CRC polynomial 10101 (= x² + x³ + 1), a. How many bits a sender append to this information before computing CRC code word? b. compute the CRC code word for the information word 101101001 C. Check the division performed at the receiver with the cord word of the result of b. d. If a receiver received a code word, 1011011001010112, does an error in the transmission of information? (Show your work.)
How many mistakes in a message may be detected by using a parity bit?
4. Assume a receiver got the message 1001111100 and the polynomial pattern is 1100. Use CRC to find whether this message has an error or not. Show your work.
A block of bits with n rows and k columns uses horizontal and vertical parity bits for error detection. Suppose that exactly 4 bits are inverted due to transmission errors. Drive a mathematical expression of n and k for the total number of different cases where these 4 error bits will be undetected. Show each important step of your derivation. (Hint: the error bits will be undetected if all the parity bits computed from the block remain unchanged.)
Please indicate if an error occurred in the following scenario. The sender sends the receiver the number "001011010". The devices use odd parity, eight-bit data, and a one-bit (LSB) parity for each bit of data. What happens if the devices use even parity rather than odd parity? What communication protocols are used in TESLA vehicles? Include the schematic for the one(s) you found.
The received 7 x 5 message block shown below uses odd parity checks, with the parity bits displayed at the end of each row (A–E) and column (1–7), in the shaded cells (see Section 3.7.1). By respectively checking each row and column determine the following: i.The row-column grid reference of the single error-bit. ii.What change needs to be made to correct the error? As part of your answer, briefly explain how you located the error-bit.
How many errors may be located concurrently in a message by using a parity bit?