Large collection of number systems providing custom arithmetic for mixed-precision algorithm development and optimization for AI, Machine Learning, Computer Vision, Signal Processing, CAE, EDA, ...

A classic and straightforward technique is presented which is not limited to the size or type of number representation used or multiple precision arithmetic.

Multiplication on a common microcontroller is easy. But division is much more difficult. Even with hardware assistance, a 32-bit division on a modern 64-bit x86 CPU can run between 9 and 15 cycles.

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An unfortunate reality of trying to represent continuous real numbers in a fixed space (e.g. with a limited number of bits) is that this comes with an inevitable loss of both precision and accuracy.

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Abstract: In digital signal processing, the arithmetic of floats is very significant. The arithmetic float point unit, which is normally selectable for various precision floating point numbers, is ...

1 Department of Electronics and Communication Engineering, Apollo Engineering College, Chennai, India. 2 Department of Electronics Engineering, MIT, Anna University, Chennai, India. Orthogonal ...

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