Mediant32 : An Alternative to FP32 and BF16 for Error-Aware Compute
Computer Architecture : Replacing Floating Point Arithmetic with Integer Fractions on the Stern-Brocot tree
This article is part of a series on experimental computer architectures.
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In our previous article, What every programmer should know about Stern Brocot Fractions, we introduced the Stern-Brocot tree as an alternative to fixed-point and floating-point arithmetic for representing fractions on parallel computers for AI.
As promised, this article explores addition, subtraction, multiplication and division on the Stern-Brocot tree.
We call this the Mediant32 number system. Further on, we proceed to implement fundamental arithmetic operations in this number system.
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