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Consider a single error correction (SEC) code that protects 8 bit words with 4 parity bits. In this case a parity bit for the entire word (pw) is added in order to provide double error detection (DED). Please assume even parity. a) Let us assume that you need to encode the following byte (the least significant bit is on the left side): Least significant bit 1 0 1 0 1 1 0 1 Use the figure below to show the encoded word. Bit position 1 2 3 4 5 6 7 200 8 9 10 11 12 13 Encoded data bits p1 p2 d1 p4 d2 d3 d4 p8 d5 d6 d7 d8 pw Encoded data → b) Let us assume that the encoded word (shown below) is read. Please determine if there is (are) error(s) in the word. If it is possible to correct, please correct. 1 2 3 4 5 6 9 10 11 12 13 7 8 p1 p2 HP d1 p4 d2 d3 d4 p8 d5d6 d7d8 pw 1 1 0 1 10 0 0 1 1 1 0 0 P1- P2= P4- P8= Pw= Please provide the information requested below. a) Please determine (either 0 or 1): P1=P2= P4= P8= and Pw= b) Please determine parity (odd or even): H parity= Now, determine if: i) There is no error, ii) There is a single error, or iii) There are two errors. Pw parity= c) If error(s), correct the encoded word (if possible).

Consider a single error correction (SEC) code that protects 8 bit words with 4 parity bits. In this case a parity bit for the entire word (pw) is added in order to provide double error detection (DED). Please assume even parity. a) Let us assume that you need to encode the following byte (the least significant bit is on the left side): Least significant bit 1 0 1 0 1 1 0 1 Use the figure below to show the encoded word. Bit position 1 2 3 4 5 6 7 200 8 9 10 11 12 13 Encoded data bits p1 p2 d1 p4 d2 d3 d4 p8 d5 d6 d7 d8 pw Encoded data → b) Let us assume that the encoded word (shown below) is read. Please determine if there is (are) error(s) in the word. If it is possible to correct, please correct. 1 2 3 4 5 6 9 10 11 12 13 7 8 p1 p2 HP d1 p4 d2 d3 d4 p8 d5d6 d7d8 pw 1 1 0 1 10 0 0 1 1 1 0 0 P1- P2= P4- P8= Pw= Please provide the information requested below. a) Please determine (either 0 or 1): P1=P2= P4= P8= and Pw= b) Please determine parity (odd or even): H parity= Now, determine if: i) There is no error, ii) There is a single error, or iii) There are two errors. Pw parity= c) If error(s), correct the encoded word (if possible).

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Consider a single error correction (SEC) code that protects 8 bit words with 4 parity bits. In this case a parity bit for the entire word (pw) is added in order to provide double error detection (DED). Please assume even parity. a) Let us assume that you need to encode the following byte (the least significant bit is on the left side): Least significant bit 1 0 1 0 1 1 0 1 Use the figure below to show the encoded word. Bit position 1 2 3 4 5 6 7 200 8 9 10 11 12 13 Encoded data bits p1 p2 d1 p4 d2 d3 d4 p8 d5 d6 d7 d8 pw Encoded data → b) Let us assume that the encoded word (shown below) is read. Please determine if there is (are) error(s) in the word. If it is possible to correct, please correct. 1 2 3 4 5 6 9 10 11 12 13 7 8 p1 p2 HP d1 p4 d2 d3 d4 p8 d5d6 d7d8 pw 1 1 0 1 10 0 0 1 1 1 0 0 P1- P2= P4- P8= Pw= Please provide the information requested below. a) Please determine (either 0 or 1): P1=P2= P4= P8= and Pw= b) Please determine parity (odd or even): H parity= Now, determine if: i) There is no error, ii) There is a single error, or iii) There are two errors. Pw parity= c) If error(s), correct the encoded word (if possible).
Transcribed Image Text:Consider a single error correction (SEC) code that protects 8 bit words with 4 parity bits. In this case a parity bit for the entire word (pw) is added in order to provide double error detection (DED). Please assume even parity. a) Let us assume that you need to encode the following byte (the least significant bit is on the left side): Least significant bit 1 0 1 0 1 1 0 1 Use the figure below to show the encoded word. Bit position 1 2 3 4 5 6 7 200 8 9 10 11 12 13 Encoded data bits p1 p2 d1 p4 d2 d3 d4 p8 d5 d6 d7 d8 pw Encoded data → b) Let us assume that the encoded word (shown below) is read. Please determine if there is (are) error(s) in the word. If it is possible to correct, please correct. 1 2 3 4 5 6 9 10 11 12 13 7 8 p1 p2 HP d1 p4 d2 d3 d4 p8 d5d6 d7d8 pw 1 1 0 1 10 0 0 1 1 1 0 0 P1- P2= P4- P8= Pw= Please provide the information requested below. a) Please determine (either 0 or 1): P1=P2= P4= P8= and Pw= b) Please determine parity (odd or even): H parity= Now, determine if: i) There is no error, ii) There is a single error, or iii) There are two errors. Pw parity= c) If error(s), correct the encoded word (if possible).
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