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Everything about Fixed-point arithmetic
Computer format for representing real numbers
In computing, fixed-point is a method of representing fractional (non-integer) numbers by storing a fixed number of digits of their fractional part. Dollar amounts, for example, are often stored with exactly two fractional digits, representing the cents. More generally, the term may refer to representing fractional values as integer multiples of some fixed small unit, e.g., a fractional amount of hours as an integer multiple of ten-minute intervals. Fixed-point number representation is often contrasted to the more complicated and computationally demanding floating-point representation. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Fixed-point arithmeticA 5-minute orientation
- Skim a recent paper: A Masked Hardware Accelerator for Feed-Forward Neural Networks With Fixed-Point ArithmeticInfluential work since 2022
- Pick up a classic book: A planar approximation for the least reliable bit log-likelihood ratio of 8-PSK modulationThe most-reprinted book on the subject
- Read the landmark paper: Offline geometric parameters for automatic signature verification using fixed-point arithmeticCited 241 times
- Go sideways: Single-precision floating-point formatA closely related topic
- Go sideways: Scale factor (computer science)A closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Offline geometric parameters for automatic signature verification using fixed-point arithmetic
Implementation of Resonant Controllers and Filters in Fixed-Point Arithmetic
Unkeyed hash function based on chaotic sponge construction and fixed-point arithmetic
Roundoff noise and attenuation sensitivity in digital filters with fixed-point arithmetic
Fixed point theory in weak second-order arithmetic
Stability of fixed-point state-space digital filters using two’s complement arithmetic: Further insight
A dual gradient-projection algorithm for model predictive control in fixed-point arithmetic
New Stability Criterion for Fixed-Point State-Space Digital Filters With Generalized Overflow Arithmetic
🆕 Influential since 2022
A Masked Hardware Accelerator for Feed-Forward Neural Networks With Fixed-Point Arithmetic
Tight Error Analysis in Fixed-point Arithmetic
Code Generation for Neural Networks Based on Fixed-point Arithmetic
Improved Delay-Dependent Stability Analysis of Fixed-Point State-Space Digital Filters With Time-Varying Delay and Generalized Overflow Arithmetic
Divisions and Square Roots with Tight Error Analysis from Newton–Raphson Iteration in Secure Fixed-Point Arithmetic
đź“š Books worth reading
- 📕A planar approximation for the least reliable bit log-likelihood ratio of 8-PSK modulationWilliam H. Thesling · 1994
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Single-precision floating-point format Single-precision floating-point format (sometimes called FP32, float32, or float) is a computer number format, usually occupying 32 bits in computer memory;…
- Scale factor (computer science) In computer science, a scale factor is a number used as a multiplier to represent a number on a different scale, functioning similarly to an exponent in…
- Computer number format A computer number format is the internal representation of numeric values in digital device hardware and software, such as in programmable computers and…
- Floating-point arithmetic In computing, floating-point arithmetic (FP) is arithmetic on subsets of real numbers formed by a significand (a signed sequence of a fixed number of digits…
- Decimal floating point Decimal floating-point (DFP) arithmetic refers to both a representation and operations on decimal floating-point numbers. Working directly with decimal…
- IEEE 754 The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic originally established in 1985 by the…
- Double-precision floating-point format Double-precision floating-point format (sometimes called FP64 or float64) is a floating-point number format, usually occupying 64 bits in computer memory;…
- IEEE 754-1985 IEEE 754-1985 is a historic industry standard for representing floating-point numbers in computers, officially adopted in 1985 and superseded in 2008 by…