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Improved circuits and formulae for multiple addition, multiplication and symmetric Boolean functions
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Paterson, Michael S. and Zwick, Uri (1990) Improved circuits and formulae for multiple addition, multiplication and symmetric Boolean functions. University of Warwick. Department of Computer Science. (Department of Computer Science research report). (Unpublished)
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Abstract
Circuits and formulae over several bases, with improved depth and size respectively, are given for the carry save addition of n binary numbers (i.e., obtaining two numbers whose sum is equal to the sum of the n numbers). As a consequence improved circuits and formulae for multiple addition, multiplication and for most symmetric Boolean functions are obtained.
| Item Type: | Report | ||||
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| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
| Library of Congress Subject Headings (LCSH): | Computer arithmetic and logic units | ||||
| Series Name: | Department of Computer Science research report | ||||
| Publisher: | University of Warwick. Department of Computer Science | ||||
| Official Date: | March 1990 | ||||
| Dates: |
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| Number: | Number 155 | ||||
| Number of Pages: | 21 | ||||
| DOI: | CS-RR-155 | ||||
| Institution: | University of Warwick | ||||
| Theses Department: | Department of Computer Science | ||||
| Status: | Not Peer Reviewed | ||||
| Publication Status: | Unpublished | ||||
| Reuse Statement (publisher, data, author rights): | M.S. Paterson, N. Pippenger and U. Zwick, “Improved Circuits and Formulae for Multiple Addition, Multiplication and Symmetric Boolean Functions”, <i>Boolean Function Complexity</i>, LMS Lecture Note Series 169, Cambridge University Press, Cambridge, UK, pp. 174-201 (1992) | ||||
| Funder: | Science and Engineering Research Council (Great Britain) (SERC), European Strategic Programme of Research and Development in Information Technology (ESPRIT), Universiṭat Tel-Aviv | ||||
| Grant number: | 3075 (ESPRIT) | ||||
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