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Floating-point multiplication method and device based on posit data format

A technology of data format and multiplication operation, which is used in electrical digital data processing, digital data processing components, calculations, etc.

Active Publication Date: 2020-07-03
NANJING UNIV
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  • Claims
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Problems solved by technology

However, there is currently no method for multiplying floating-point numbers based on the posit data format

Method used

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  • Floating-point multiplication method and device based on posit data format
  • Floating-point multiplication method and device based on posit data format
  • Floating-point multiplication method and device based on posit data format

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Embodiment Construction

[0162] In order to make the purpose, technical solution and advantages of the present application clearer, the implementation manners of the present application will be further described in detail below in conjunction with the accompanying drawings.

[0163] The parameters of the Posit data format in the technical solution of the present application include N and es, wherein N is the total bit width represented by the entire data, and es is the bit width of the exponent segment. Both parameters need to be determined before expressing the data. N can take any positive integer value. In this embodiment, N represents the preset total bit width, and es represents the preset index segment width. The preset index segment width is selected according to the actual demand for floating-point numbers in the Posit data format, and the preset index segment width is selected. The value is less than the value taken by the preset total bit width.

[0164] figure 1 A schematic diagram of a s...

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Abstract

The invention provides a floating-point multiplication method and device based on a posit data format. The method comprises the steps that after a first floating-point number and a second floating-point number are obtained, the first floating-point number and the second floating-point number are analyzed, and a target floating-point number is determined according to values obtained after analysis.According to the method, multiplication is carried out by adopting a posit data format, so that the data bit width can be reduced to a great extent while the precision is ensured near 0, the trainingtime of the neural network is shortened, and the requirements on resources such as storage and bit width are also reduced.

Description

technical field [0001] The present application relates to the technical field of data processing, in particular to a method and device for multiplying floating-point numbers based on the posit data format. Background technique [0002] With the advent of the era of big data, artificial neural network technology has developed rapidly. Artificial neural network is a non-linear and self-adaptive information processing system composed of a large number of interconnected processing units, trying to process information by simulating brain neural network processing and memory information. [0003] The focus of artificial neural network is data processing, that is, to calculate and analyze floating point numbers, so as to establish a neural network model. At present, the floating-point numbers in the normalized single-precision floating-point number format of the IEEE 754 standard (referred to as the IEEE 754 data format for short) are generally used to perform the data processing ...

Claims

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Application Information

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IPC IPC(8): G06F7/487G06F7/485G06F7/575
CPCG06F7/4876G06F7/485G06F7/575Y02D10/00
Inventor 王中风徐铭阳方超林军
Owner NANJING UNIV
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