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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Originally used in applications related to national security and now frequently used for data-intensive and computation-heavy scientific and engineering purposes across industries, supercomputers aren ...

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 ...

"Angel numbers" may appear on the alarm clock next to your bedside or printed on the deli counter ticket as you're awaiting your turn to be called. And while these could be a coincidence, many people ...

1 Ingram School of Engineering, Electrical Engineering Texas State University, San Marcos, Texas, USA. 2 School of Engineering, Electrical Engineering University of St. Thomas, St. Paul, Minnesota, ...

It is well-known that floating-point exceptions can be disastrous and writing exception-free numerical programs is very difficult. Thus, it is important to automatically detect such errors. In this ...