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

Generation of Prime Implicants from Subfunctions and a Unifying Approach to the Covering Problem

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)
Reusch, B. ; Abteilung Informatik, Universitat Dortmund

A new method for computing the prime implicants of a Boolean function from an arbitrary sum-of-products form is given. It depends on the observation that the prime implicants of a Boolean function can be obtained from the prime implicants of its subfunctions with respect to a fixed but arbitrary variable. The problem of obtaining all irredundant sums from the list of all prime implicants and an arbitrary list of implicants representing the function is solved. The irredundant sums are in one-to-one relation to the prime implicants of a positive Boolean function associated with these lists. The known formulas of Petrick, Ghazala, Tison, Mott, and Chang are obtained as special cases and incompletely specified functions can also be handled. We give a complete and simple method for finding the positive Boolean function mentioned above. The paper is self-contained and examples are included.

Published in:

Computers, IEEE Transactions on  (Volume:C-24 ,  Issue: 9 )

Date of Publication:

Sept. 1975

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.