The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
이 문서에서는 곱의 합계 표현식에 가장 적합한 연산자를 보여줍니다. 먼저 곱셈과 합계 연산에 대한 함수의 조건을 설명합니다. 두 변수 함수를 모두 조사하여 조건에 맞는 함수를 선택한 후 선택된 곱과 합 함수의 각 조합을 사용할 때 최소 곱의 합 식에 필요한 곱 항의 수를 평가합니다. 그 결과, 우리는 3값 논리에 대해 3개의 곱함수와 9개의 합함수를 얻습니다. 세 가지 제품 기능 각각이 동일한 기능을 표현할 수 있으며 MODSUM 기능이 제품 용어 단축에 가장 적합함을 보여줍니다. 또한, 우리는 4값 논리에서도 유사한 결과가 얻어짐을 보여줍니다.
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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},}
부
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 -