A floating-point image format partly solves this problem, as it makes it possible to represent subtle nuances in a picture with a wide range in brightness. Compared to software emulation, FPUs can ...

This article explains the basics of floating-point arithmetic, how floating-point units (FPUs) work, and how to use FPGAs for easy, low-cost floating-point processing. Inside microprocessors, numbers ...

Abstract: This work presents several techniques to improve the effectiveness of floating point arithmetic computations. A partially redundant number system is proposed as an internal format for ...

Floating-point arithmetic is a cornerstone of numerical computation, enabling the approximate representation of real numbers in a format that balances range and precision.

Therefore, this paper proposes a design for a multi-precision floating-point unit. The FPU of this design supports multiple precision formats including fp32, fp16, fp8, and variable precision fp16, ...

Different floating-point formats allow machine-learning systems to operate more efficiently and use less space.

We show the QAT results below for different tested formats. We see that all quantized networks get close to their original floating-point performance.

"Dr. Gustafson has recently finished writing a book, The End of Error: Unum Computing, that presents a new approach to computer arithmetic: the unum. The universal number, or unum format, encompasses ...

[Editor's note: For an intro to floating-point math, see Tutorial: Floating-point arithmetic on FPGAs. For a comparison of fixed- and floating-point hardware, see Fixed vs. floating point: a ...