Nature

Floating-Point Arithmetic and Numerical Computation Verification

Floating-point arithmetic is a cornerstone of modern computational science, providing an efficient means to approximate real numbers within a finite precision framework. Its ubiquity across scientific ...
Semiconductor Engineering

Achieving Numerical Precision And Design Customization With Flexible Floating-Point IP

As defined by the IEEE 754 standard, floating-point values are represented in three fields: a significand or mantissa, a sign bit for the significand and an exponent field. The exponent is a biased ...
EDN

Fixed-Point DSP and Algorithm Implementation

[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 ...
EDN

Microcontroller Floating Point Routines

Routines for the PIC16/17 families are provided in a modified IEEE 754 32-bit format together with versions in 24-bit reduced format. Although fixed point arithmetic can usually be employed in many ...
Electronic Design

What’s the Difference Between Fixed-Point, Floating-Point, and Numerical Formats?

Embedded C and C++ programmers are familiar with signed and unsigned integers and floating-point values of various sizes, but a number of numerical formats can be used in embedded applications. Here ...
Nature

Numerical Computation and Mathematical Software

Nature Research Intelligence Topics Topic summaries Information and Computing Sciences Theory of Computation Numerical Computation and Mathematical Software Numerical computation and mathematical ...