Comparison of Logic Operators for Use in Multiple-Valued Sum-of-Products Expressions
Summary :
This paper shows the best operators for sum-of-products expressions. We first describe conditions of functions for product and sum operations. We examine all two-variable functions and select those that meet the conditions and then evaluate the number of product terms needed in the minimum sum-of-products expressions when each combination of selected product and sum functions is used. As a result of this, we obtain three product functions and nine sum functions on three-valued logic. We show that each of three product functions can express the same functions and MODSUM function is the most suitable for reduction of product terms. Moreover, we show that similar results are obtained on four-valued logic.
- Publication
- IEICE TRANSACTIONS on Information Vol.E82-D No.5 pp.933-939
- Publication Date
- 1999/05/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Issue on Multiple-Valued Logic and Its Applications)
- Category
- Logic Design
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Takahiro HOZUMI, Osamu KAKUSHO, Yutaka HATA, "Comparison of Logic Operators for Use in Multiple-Valued Sum-of-Products Expressions" in IEICE TRANSACTIONS on Information,
vol. E82-D, no. 5, pp. 933-939, May 1999, doi: .
Abstract: This paper shows the best operators for sum-of-products expressions. We first describe conditions of functions for product and sum operations. We examine all two-variable functions and select those that meet the conditions and then evaluate the number of product terms needed in the minimum sum-of-products expressions when each combination of selected product and sum functions is used. As a result of this, we obtain three product functions and nine sum functions on three-valued logic. We show that each of three product functions can express the same functions and MODSUM function is the most suitable for reduction of product terms. Moreover, we show that similar results are obtained on four-valued logic.
URL: https://global.ieice.org/en_transactions/information/10.1587/e82-d_5_933/_p
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@ARTICLE{e82-d_5_933,
author={Takahiro HOZUMI, Osamu KAKUSHO, Yutaka HATA, },
journal={IEICE TRANSACTIONS on Information},
title={Comparison of Logic Operators for Use in Multiple-Valued Sum-of-Products Expressions},
year={1999},
volume={E82-D},
number={5},
pages={933-939},
abstract={This paper shows the best operators for sum-of-products expressions. We first describe conditions of functions for product and sum operations. We examine all two-variable functions and select those that meet the conditions and then evaluate the number of product terms needed in the minimum sum-of-products expressions when each combination of selected product and sum functions is used. As a result of this, we obtain three product functions and nine sum functions on three-valued logic. We show that each of three product functions can express the same functions and MODSUM function is the most suitable for reduction of product terms. Moreover, we show that similar results are obtained on four-valued logic.},
keywords={},
doi={},
ISSN={},
month={May},}
Copy
TY - JOUR
TI - Comparison of Logic Operators for Use in Multiple-Valued Sum-of-Products Expressions
T2 - IEICE TRANSACTIONS on Information
SP - 933
EP - 939
AU - Takahiro HOZUMI
AU - Osamu KAKUSHO
AU - Yutaka HATA
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E82-D
IS - 5
JA - IEICE TRANSACTIONS on Information
Y1 - May 1999
AB - This paper shows the best operators for sum-of-products expressions. We first describe conditions of functions for product and sum operations. We examine all two-variable functions and select those that meet the conditions and then evaluate the number of product terms needed in the minimum sum-of-products expressions when each combination of selected product and sum functions is used. As a result of this, we obtain three product functions and nine sum functions on three-valued logic. We show that each of three product functions can express the same functions and MODSUM function is the most suitable for reduction of product terms. Moreover, we show that similar results are obtained on four-valued logic.
ER -
English
