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
Kertas ini menunjukkan pengendali terbaik untuk ekspresi jumlah produk. Kami mula-mula menerangkan keadaan fungsi untuk operasi produk dan jumlah. Kami memeriksa semua fungsi dua pembolehubah dan memilih fungsi yang memenuhi syarat dan kemudian menilai bilangan istilah produk yang diperlukan dalam ungkapan jumlah produk minimum apabila setiap gabungan fungsi produk dan jumlah yang dipilih digunakan. Hasil daripada ini, kami memperoleh tiga fungsi produk dan sembilan fungsi jumlah pada logik tiga nilai. Kami menunjukkan bahawa setiap tiga fungsi produk boleh menyatakan fungsi yang sama dan fungsi MODSUM adalah yang paling sesuai untuk pengurangan istilah produk. Selain itu, kami menunjukkan bahawa keputusan yang sama diperolehi pada logik empat nilai.
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Salinan
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
Salinan
@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},}
Salinan
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 -