Digital System Research

Archive for Mathematics

Fractional Representations

  Researchers at DSR develop new methods for representing and processing fractional quantities. We promise that everything is different with residues! For example, when performing general purpose calculations, we usually turn to fractional formats such as floating point numbers. If we have N binary bits dedicated to the fractional portion of a binary value, then […]

Computational Complexity

Can the known order of arithmetic operations be smashed? Does an underlying number system affect the computational complexity of basic arithmetic operations? Indeed, this is true. Researchers at DSR are studying and analyzing newly discovered relationships. There are significant tradeoffs between performing calculations in the binary number system versus performing calculations in the residue number […]

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