How to program the decompression of files?

Does anyone know a link to some info on how to use C++ or another language to unencode a file back to it’s full binary?

i’m really interested in learning how compressed files are read and rebuilt to their full binary. Not just generically that it happens, but exactly how it is accomplished. Thanks!
Yes I know all that. I want to know how to write a program that does it. How to you get C+=+ or whatever other language to use the LZ algorithm.

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  1. Why, took me 2 seconds to find this:

    http://en.wikipedia.org/wiki/Uuencoding

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