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This chapter formalises the concept of positional number systems, a way of representing numbers in different bases. Using decimal as a starting point, the goal is to introduce binary: motivation is given by the need to store information on CDs and DVDs. For example, if we can represent any number using 0 and 1 then we can physically store such numbers as pits and lands on the surface of a CD.
Given the basics of number representation, the idea is then discuss the concepts of data compression, and error detection and correction. The running example of CDs and DVDs again provides motivation: both store vast amounts of data and are fairly robust to damage, but how do they do this from a technical point of view?
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go back to reference Wikipedia: Error detection and correction. http://en.wikipedia.org/wiki/Error_correction Wikipedia: Error detection and correction. http://en.wikipedia.org/wiki/Error_correction
- Compressing and Correcting Digital Media
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