Cart (Loading....) | Create Account
Close category search window

A One-Dimensional Real-Time Iterative Multiplier

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Atrubin, A.J. ; IBM Systems Development Division Lab., Rochester, Minn.

The class of one-dimensional, real-time, iterative, discrete-state automata is described. By example, it is shown that serial multiplication can be carried out by such a sequential switching network. Each of two arbitrarily large integers is represented in binary notation by a time sequence of digits 0 or 1, the lowest order digits first. A design is given for a discrete-state machine that has as input the two time sequences of binary digits and as output a single sequence of binary digits, which is the product of the two input integers, lowest-order digit first. The multiplier is constrained to be a linear array of identical cells. The cells each have a finite number of states and each cell communicates directly only with the adjacent cells, such communications occurring in a synchronous manner. The multiplication is performed in real time; that is, the delay between the receipt of the nth digits of the input and the generation of the nth digit of the output is a fixed number of periods of the synchronizing clock. A design with no time delay is described.

Published in:

Electronic Computers, IEEE Transactions on  (Volume:EC-14 ,  Issue: 3 )

Date of Publication:

June 1965

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.