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I do a fair amount of programming, but I am a Mech Engineer not a CS guy, so the other day I had to admit that I didn't really know how a floating point numbers work. The wikipedia was too detailed and confusing, so I put together this app.

The first draft is iPad only (and accidentally requires iOS 8), but will give you a good understanding of floating point precision and storage after a minute or two of poking around. I personally enjoy being able to tap and toggle bit values :)