Based on recent technological developments, high-performance floating-point signal processing can, for the very first time, be easily achieved using FPGAs. To date, virtually all FPGA-based signal ...

Abstract: We propose a floating-point representation to deal efficiently with arithmetic operations in codes with a balanced number of additions and multiplications for FPGA devices. The variable ...

Abstract: Rounding and accumulation of errors when using floating point numbers are important factors in computer arithmetic. Many applications suffer from these problems. The underlying machine ...

This example gives a general idea of the role of the mantissa, base and exponent. It does not fully reflect the computer's method for storing real numbers. The number 123.75 can be represented as a ...

Standard form is a way of writing numbers. It can be used to represent large numbers that include decimal values (this is also often called scientific notation). When using standard form, you could ...

Most AI chips and hardware accelerators that power machine learning (ML) and deep learning (DL) applications include floating-point units (FPUs). Algorithms used in neural networks today are often ...

"Computer Architecture: A Quantitative Approach" by John L. Hennessy and David A. Patterson: This textbook discusses various processor flaws and how hardware design choices can lead to errors. Later ...