MD5 hash algorithm

Can someone explain, in words, how MD5 hash works? so I could implement it.

The point of this is for me to understand it and write it completely on my own.
I doubt anybody could explain why it works or how without having to write a long thesis paper on it and I'm pretty sure you could see that just by looking here and noticing all the crazy code that's made of transforms and #defines.

http://www.zedwood.com/article/cpp-md5-function

best.
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