You didn't say whether you wanted to use a library or code it ground up (as in Catfish3's "LZW file compressor" article, which DTSCode provided the link to.)
Thank you for the link, and I specified that I wanted a simple example on how to decompress a zip file, which meant I was looking for a way to decompress a zip file, that link i was given earlier by DTSCode was about a different compression algorithm all together.