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Stability of the 4-2 Binary Addition Circuit Cells. Part I Cover

Stability of the 4-2 Binary Addition Circuit Cells. Part I

By: Katsumi Wasaki  
Open Access
|Mar 2009

Abstract

To evaluate our formal verification method on a real-size calculation circuit, in this article, we continue to formalize the concept of the 4-2 Binary Addition Cell primitives (FTAs) to define the structures of calculation units for a very fast multiplication algorithm for VLSI implementation [11]. We define the circuit structure of four-types FTAs, TYPE-0 to TYPE-3, using the series constructions of the Generalized Full Adder Circuits (GFAs) that generalized adder to have for each positive and negative weights to inputs and outputs [15]. We then successfully prove its circuit stability of the calculation outputs after four-steps. The motivation for this research is to establish a technique based on formalized mathematics and its applications for calculation circuits with high reliability.

MML identifier: FTACELL1, version: 7.9.03 4.108.1028

DOI: https://doi.org/10.2478/v10037-008-0046-7 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 377 - 387
Published on: Mar 20, 2009
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2009 Katsumi Wasaki, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 16 (2008): Issue 4 (December 2008)