scholarly journals Design and Synthesis of Restoring Technique Based Dual Mode Floating Point Divider for Fast Computing Applications

2018 ◽  
Vol 7 (3.6) ◽  
pp. 48
Author(s):  
Shaikh Salman Faraz ◽  
Yogesh Suryawanshi ◽  
Sandeep Kakde ◽  
Ankita Tijare ◽  
Rajesh Thakare
Keyword(s):  
Vital Role ◽  
Floating Point ◽  
Double Precision ◽  
Arithmetic Unit ◽  
Dual Mode ◽  
Single Precision ◽  
Design And Synthesis ◽  
Main Factors ◽  
The Many ◽  
Point Arithmetic

Floating point division plays a vital role in quick processing applications. A division is one amongst the complicated modules needed in processors. Area, delay and power consumption are the main factors that play a significant role once planning a floating point dual-precision divider. Compared to different floating-point arithmetic, the design of division is way a lot of sophisticated and needs longer time. Floating point division is that the main arithmetic unit that is employed within the design of the many processors in the field of DSP, math processors and plenty of different applications. This paper relies on the dual-mode practicality of floating point division. The proposed designed architecture supports the single precision (32-bit) as well as double precision (64-bit) IEEE 754 floating point format. It uses restoring division technique for the fraction part division. This design consists of varied sub-modules like shifters, exceptional handlers, Normalizers and many more.  

Operational Single-Precision Earth-System Modelling at ECMWF

2021 ◽  
Author(s):  
Sam Hatfield ◽  
Kristian Mogensen ◽  
Peter Dueben ◽  
Nils Wedi ◽  
Michail Diamantakis
Keyword(s):  
Atmospheric Model ◽  
Floating Point ◽  
System Modelling ◽  
Double Precision ◽  
Earth System ◽  
Single Precision ◽  
System Models ◽  
Floating Point Arithmetic ◽  
Point Arithmetic ◽  
Earth System Models

<p>Earth-System models traditionally use double-precision, 64 bit floating-point numbers to perform arithmetic. According to orthodoxy, we must use such a relatively high level of precision in order to minimise the potential impact of rounding errors on the physical fidelity of the model. However, given the inherently imperfect formulation of our models, and the computational benefits of lower precision arithmetic, we must question this orthodoxy. At ECMWF, a single-precision, 32 bit variant of the atmospheric model IFS has been undergoing rigorous testing in preparation for operations for around 5 years. The single-precision simulations have been found to have effectively the same forecast skill as the double-precision simulations while finishing in 40% less time, thanks to the memory and cache benefits of single-precision numbers. Following these positive results, other modelling groups are now also considering single-precision as a way to accelerate their simulations.</p><p>In this presentation I will present the rationale behind the move to lower-precision floating-point arithmetic and up-to-date results from the single-precision atmospheric model at ECMWF, which will be operational imminently. I will then provide an update on the development of the single-precision ocean component at ECMWF, based on the NEMO ocean model, including a verification of quarter-degree simulations. I will also present new results from running ECMWF's coupled atmosphere-ocean-sea-ice-wave forecasting system entirely with single-precision. Finally I will discuss the feasibility of even lower levels of precision, like half-precision, which are now becoming available through GPU- and ARM-based systems such as Summit and Fugaku, respectively. The use of reduced-precision floating-point arithmetic will be an essential consideration for developing high-resolution, storm-resolving Earth-System models.</p>

scholarly journals Design and Implementation of FPU for Optimised Speed

2020 ◽  
Vol 9 (3) ◽  
pp. 3922-3933
Keyword(s):  
Energy Efficient ◽  
High Speed ◽  
Software Tool ◽  
Digital Signal ◽  
Floating Point ◽  
Double Precision ◽  
Arithmetic Unit ◽  
Single Precision ◽  
Point Multiplication ◽  
Floating Point Unit

Currently, each CPU has one or additional Floating Point Units (FPUs) integrated inside it. It is usually utilized in math wide-ranging applications, such as digital signal processing. It is found in places be established in engineering, medical and military fields in adding along to in different fields requiring audio, image or video handling. A high-speed and energy-efficient floating point unit is naturally needed in the electronics diligence as an arithmetic unit in microprocessors. The most operations accounting 95% of conformist FPU are multiplication and addition. Many applications need the speedy execution of arithmetic operations. In the existing system, the FPM(Floating Point Multiplication) and FPA(Floating Point Addition) have more delay and fewer speed and fewer throughput. The demand for high speed and throughput intended to design the multiplier and adder blocks within the FPM (Floating point multiplication)and FPA(Floating Point Addition) in a format of single precision floating point and double-precision floating point operation is internally pipelined to achieve high throughput and these are supported by the IEEE 754 standard floating point representations. This is designed with the Verilog code using Xilinx ISE 14.5 software tool is employed to code and verify the ensuing waveforms of the designed code

Double Precision Floating Point Arithmetic Unit Implementation- A Review

2015 ◽  
Vol V4 (07) ◽  
Author(s):  
Prabjot Kaur ◽  
Rajiv Ranjan ◽  
Raminder Preet Pal Singh ◽  
Onkar Singh ◽  
Keyword(s):  
Floating Point ◽  
Double Precision ◽  
Arithmetic Unit ◽  
Floating Point Arithmetic ◽  
Point Arithmetic

scholarly journals Research on IEEE 754 Standard Single Precision Floating Point Multipliers Designed using Urdhva Triyagbhyam Sutra of Vedic Mathematics

2019 ◽  
Vol 8 (2S11) ◽  
pp. 2990-2993
Keyword(s):  
Floating Point ◽  
Double Precision ◽  
Single Precision ◽  
Vedic Mathematics ◽  
Quadruple Precision

Duplication of the coasting element numbers is the big activity in automated signal handling. So the exhibition of drifting problem multipliers count on a primary undertaking in any computerized plan. Coasting factor numbers are spoken to utilizing IEEE 754 modern day in single precision(32-bits), Double precision(sixty four-bits) and Quadruple precision(128-bits) organizations. Augmentation of those coasting component numbers can be completed via using Vedic generation. Vedic arithmetic encompass sixteen wonderful calculations or Sutras. Urdhva Triyagbhyam Sutra is most usually applied for growth of twofold numbers. This paper indicates the compare of tough work finished via exceptional specialists in the direction of the plan of IEEE 754 ultra-modern-day unmarried accuracy skimming thing multiplier the usage of Vedic technological statistics.

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