Search
5 articles for “Multi-precision arithmetic”
-
Key Generation Algorithms Using Difference Equations with Multi-Precision Arithmetic: A Review
Abstract: Modern cryptographic systems rely on robust key generation to secure data and communication. This review explores the integration of difference equations and multi-precision arithmetic for cryptographic key generation, addressing limitations in traditional methods like pseudorandom number generators and chaotic systems. Difference equations produce deterministic yet chaotic sequences ideal for cryptography due to their sensitivity to initial conditions and nonlinearity. However, finite precision arithmetic can lead to periodicity and loss of …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 · pp. 23–36 Read article
-
Key Generation Algorithm Using Difference Equation With Multi -Precision - Arithmetic : A Review
Abstract: Modern cryptographic systems rely on robust key generation to secure data and communication. This review explores the integration of difference equations and multi-precision arithmetic for cryptographic key generation, addressing limitations in traditional methods like pseudorandom number generators and chaotic systems. Difference equations produce deterministic yet chaotic sequences ideal for cryptography due to their sensitivity to initial conditions and nonlinearity. However, finite precision arithmetic can lead to periodicity and loss of …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 Read article
-
Design of Three-Stage Pipelined Floating Point Arithmetic Operators
Abstract: Some embedded systems perform signal processing operations (Fourier transform, filtering) as for example for the recognition voice, high quality audio and control of critical systems (airplane, rocket). This type of operation may require the use of floating numbers. This paper presents the hardware implementation of floating point arithmetic operators for addition, subtraction, multiplication using the IEEE-754 single precision format. Proposed architecture follows two different RTL approach, Melay FSM and multiplexer …
Published in Journal of VLSI Design Tools and Technology · Vol. 8, Issue 2, 2018 · pp. 9–22 Read article
-
Implementation of Floating Point Multiplier Using Dadda Algorithm
Abstract: Floating point multiplication is very useful in all the computation applications like in arithmetic operation, DSP application etc. To achieve higher speed of the mantissa, multiplication is done using Dadda multiplier which works on the basis of Dadda algorithm. Through this architecture we gain high speed with a maximum frequency and also reduce the number of gates compared to existing multipliers; and through floating point format it is possible to …
Published in Journal of Multimedia Technology & Recent Advancements · Vol. 3, Issue 1, 2016 · pp. 16–22 Read article
-
The Evolution and Impact of Numbers: From Ancient Tallies to Quantum Computing: Review Article on Numbers
Abstract: Numbers are among the most fundamental constructs in human civilization, serving as the backbone of mathematics, science, technology, and virtually every aspect of daily life. They represent not only quantities and measures but also relationships, structures, and patterns that underpin the fabric of human understanding. From the earliest tallies etched on bones by prehistoric humans to the sophisticated numerical systems embedded in today’s artificial intelligence and quantum computing, the evolution …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 15–19 Read article