Cyclic Redundancy Check Error Detection Simulation

written by Crystal Barchet and Teresa Carrigan



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WHAT IS IT?

This model demonstrates receiving a message using Cyclic Redundancy Check Error Detection.

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HOW IT WORKS

A generator is chosen randomly from a list of allowed generators, and a random message is created. This message is divided by the generator by using modulo 2 arithmetic, which is the same as XOR. If the remainder is 0, then no errors occured during transmission, and then one bit less than the number of bits in the generator is stripped from the end of the transmitted message. If the remainder is not 0, then an error occured during transmission and the original message can not be recovered.

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HOW TO USE IT

The setup button generates a random message and selects a random generator.

The slow-motion slider is an easy way to adjust the speed of the demonstration. Set it to zero if you want to just see the answer quickly. 0.2 is a good setting for most purposes.

The step button does whatever step comes next, and then stops so you can take notes.

The go button finishes the entire problem, at a speed set by the slow-motion slider.

The show-again button starts the exact problem from the beginning. You may then click either the step button or the go button to see the same demonstration.

The quiz button generates a random problem and then asks you to determine the answer. Please note that you can use the show-again button after a quiz to see all the steps in getting the correct answer.

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THINGS TO NOTICE

When the transmitted message is all zeroes, then there was no error during transmission.

When the remainder is not all zeroes, an error occurred and the original message can not be recovered.

We do not pad with zeroes before division, nor do we stip bits before division.

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THINGS TO TRY

Set the slow-motion slider to about .2 seconds (or slower) and press the step button several times. Watch the demonstration of each step.

Set the slow-motion slider to about .2 seconds and press the go button. Watch the entire demonstration.

Do each step by hand, then press step to check your work.

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EXTENDING THE MODEL

Allow the user to input the beginning message.

Allow the user to input the generator.

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NETLOGO FEATURES

"min-one-of" reports the agent in the agentset that reports the lowest value for the given reporter.

"max-one-of" reports the agent in the agentset that reports the highest value for the given reporter.

"count" reports the number of agents in the given agentset.

"hatch 1" tells each turtle to create one turtle identical to itself.

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RELATED MODELS

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CREDITS AND REFERENCES

This model was written by Crystal Barchet and Teresa Carrigan, 2004.

Permission to use, modify or redistribute this model is hereby granted, provided that both of the following requirements are followed:

  1. this copyright notice is included.
  2. this model will not be redistributed for profit without permission from Teresa Carrigan.
Contact Teresa Carrigan for appropriate licenses for redistribution for profit.

To refer to this model in academic publications, please use: Barchet, C. and Carrigan, T. (2004). Cyclic Redundancy Check Error Detection Simulation Blackburn College, Carlinville, IL.

In other publications, please use: Copyright 2004 by Crystal R. Barchet and Teresa Carrigan. All rights reserved.

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FOR MORE INFORMATION

For more information about Cyclic Redundancy Check Error Detection, see one of the following textbooks:
  1. Null, L. and Lobur, J. Essentials of Computer Organization and Architecture, First Edition, Jones & Bartlett, pages 73-76.
  2. Murdocca, M. and Heuring, V. Principles of Computer Architecture, First Edition, Prentice Hall, page 365-366
  3. Forouzan, B. Data Communications and Networking, Third Edition, McGrawHill, pages 249-253.


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Applets on this website were written by Teresa Carrigan in 2004, for use in computer science courses at Blackburn College, with the exception of the Fireworks applet. The applets made with NetLogo require Java 1.4.1 or higher to run. The applets made with NetBeans require Java 1.4.2 or higher to run. Applets might not run on Windows 95 or Mac OS 8 or 9. You may obtain the latest Java plugin from Sun's Java site.