39
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On the effectiveness of cellular automata to add real numbers

&
Pages 1207-1213 | Received 02 Jan 2002, Accepted 17 Jun 2002, Published online: 12 May 2010
 

Abstract

This paper investigates the effectiveness of cellular automata to compute arithmetic functions over the set of real numbers. Since cellular automata (CA) have parallel computational ability in conjunction with the capacity to accept an infinite length input, the CA should be able to effectively compute real number arithmetic. This paper shows that typical representations of real numbers do not lend themselves to effective computation by a CA and that a nonstandard representation must be employed in order to accomplish this.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.