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A Simplification Method for AND-EXOR Expressions for Multiple-Output Functions.

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Title: A Simplification Method for AND-EXOR Expressions for Multiple-Output Functions.
Authors: Koda, Norio1, Sasao, Tsutomu2
Source: Systems & Computers in Japan. 8/1/96, Vol. 27 Issue 9, p1-11. 11p.
Subjects: Computer arithmetic & logic units, Algorithms, Computer arithmetic, Logic, Arithmetic, Mathematics
Abstract: This paper presents properties of Exclusive-OR Sum-of-Products expressions (ESOPs) for multiple-output functions and a simplification algorithm for ESOPs. First, lower bounds on the number of products in minimum ESOPs for multiple output functions are derived. Then, algorithms to simplify ESOPs and to prove their minimality are presented. Experimental results for arithmetic functions and randomly generated functions for up to ten variables are shown. [ABSTRACT FROM AUTHOR]
Copyright of Systems & Computers in Japan is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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PubType: Academic Journal
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  Data: A Simplification Method for AND-EXOR Expressions for Multiple-Output Functions.
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  Data: This paper presents properties of Exclusive-OR Sum-of-Products expressions (ESOPs) for multiple-output functions and a simplification algorithm for ESOPs. First, lower bounds on the number of products in minimum ESOPs for multiple output functions are derived. Then, algorithms to simplify ESOPs and to prove their minimality are presented. Experimental results for arithmetic functions and randomly generated functions for up to ten variables are shown. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Systems & Computers in Japan is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1002/scj.4690270901
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        Text: English
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        PageCount: 11
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      – SubjectFull: Computer arithmetic & logic units
        Type: general
      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Computer arithmetic
        Type: general
      – SubjectFull: Logic
        Type: general
      – SubjectFull: Arithmetic
        Type: general
      – SubjectFull: Mathematics
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      – TitleFull: A Simplification Method for AND-EXOR Expressions for Multiple-Output Functions.
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            NameFull: Koda, Norio
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              M: 08
              Text: 8/1/96
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              Y: 1996
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              Value: 27
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