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A real computer using NaN and Inf instead of 1 and 0 [video]

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Re: A real computer using NaN and Inf instead of 1 and 0 [video]

#2
> IEEEuler's identity I'm in stitches here.

On a more serious note, is there a way to treat IEEE floats as some nice algebraic structure? I recently learned that associativity is broken, so I started thinking that it'd be nice to study floats in their "native environment" per se.