Design An ALU Capable of Calculating Definite Integrals of Simple Polynomials Based on Digital Circuit Simulation Software

Abstract

Considering the chip area and energy consumption, the arithmetic operation unit only performs the most basic operations, while complex operations such as definite integrals are carried out at the software level. This article will step by step demonstrate the design process of a 8-bit ALU circuit with a simple polynomial definite integral operation function based on digital circuit simulation software, fully leveraging the characteristics of hardware computing such as parallelism and pipelines to achieve ultra-high throughput and low latency. After comparison and selecting, logisim was selected as the simulation software in this study, and the Newtonian - Leibniz formula was chosen as the operation path. Through the construction of polynomial coefficient input, upper and lower limit input, preprocessing of polynomial coefficients, polynomial evaluation, and subtraction of upper and lower limit polynomials, the main circuit of this ALU was finally formed.This design has indeed been tested to be capable of performing simple polynomial definite integral operations, but it also faces issues such as wasting space,existing room for efficiency optimization and complex processes that require further research to address. It is also hoped that in the future, a truly practical hardware-level definite integral and other multi-functional operation unit can be developed.