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Consider the middle 3 digits of your student ID composed of seven digits. Convert it to binary format (each digit is represented by a maximum of 3bits). For example, 5573062 is simplified to 730 and then converted to 111 011 000 Assume now that we want to send your student ID while being able to detect and correct single bit errors. 1.1) Using two-dimensional parity check show what will be transmitted codeword using datawords of size 3bits. 1.2) Using the hamming code show what would be the codeword that corresponds to your simplified binary student ID. Dataword size is 9bits. Assume that a single bit error occurred and corrupted the 8th bit (numbering starts from 1 and from right). Show that the receiver of such corrupted codeword will be able to correct the error when using the hamming code. 1.3)

Consider the middle 3 digits of your student ID composed of seven digits. Convert it to binary format (each digit is represented by a maximum of 3bits). For example, 5573062 is simplified to 730 and then converted to 111 011 000 Assume now that we want to send your student ID while being able to detect and correct single bit errors. 1.1) Using two-dimensional parity check show what will be transmitted codeword using datawords of size 3bits. 1.2) Using the hamming code show what would be the codeword that corresponds to your simplified binary student ID. Dataword size is 9bits. Assume that a single bit error occurred and corrupted the 8th bit (numbering starts from 1 and from right). Show that the receiver of such corrupted codeword will be able to correct the error when using the hamming code. 1.3)

Database System Concepts
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
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Consider the middle 3 digits of your student ID composed of seven digits. Convert it to binary format (each digit is represented by a maximum of 3bits). For example, 5573062 is simplified to 730 and then converted to 111 011 000 . Assume now that we want to send your student ID while being able to detect and correct single bit errors. 1.1) Using two-dimensional parity check show what will be transmitted codeword using datawords of size 3bits. Using the hamming code show what would be the codeword that corresponds to your simplified binary student ID. Dataword size is 9bits. 1.2) Assume that a single bit error occurred and corrupted the 8th bit (numbering starts from 1 and from right). Show that the receiver of such corrupted codeword will be able to correct the error when using the hamming code. 1.3)
Transcribed Image Text:Consider the middle 3 digits of your student ID composed of seven digits. Convert it to binary format (each digit is represented by a maximum of 3bits). For example, 5573062 is simplified to 730 and then converted to 111 011 000 . Assume now that we want to send your student ID while being able to detect and correct single bit errors. 1.1) Using two-dimensional parity check show what will be transmitted codeword using datawords of size 3bits. Using the hamming code show what would be the codeword that corresponds to your simplified binary student ID. Dataword size is 9bits. 1.2) Assume that a single bit error occurred and corrupted the 8th bit (numbering starts from 1 and from right). Show that the receiver of such corrupted codeword will be able to correct the error when using the hamming code. 1.3)
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