The rational numbers, \mathbb{Q}, and set of all real numbers, \mathbb{R}, also are infinite. This fact—that these sets are of infinite size—has implications for numeric representation and numeric ...

Andrew is a science-fiction/adventure-horror writer from the UK and a graduate of Falmouth University currently working for both GameRant and DualShockers. At ...

Why floating point is important for developing machine-learning models. What floating-point formats are used with machine learning? Over the last two decades, compute-intensive artificial-intelligence ...

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.

Abstract: This research study presents the design of a floating-point ALU which calculates shortest distance between two floating point numbers. Such a unit is used extensively in cluster algorithm.

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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.

Abstract: The IEEE 754 standard does not distinguish between exact and inexact floating-point numbers. There is no bit or field in the binary encoding that indicates whether a floating-point number is ...

While the media buzzes about the Turing Test-busting results of ChatGPT, engineers are focused on the hardware challenges of running large language models and other deep learning networks. High on the ...