Design of a Multiple-Valued Cellular Array

Naotake KAMIURA; Yutaka HATA; Kazuharu YAMATO

Design of a Multiple-Valued Cellular Array

Naotake KAMIURA, Yutaka HATA, Kazuharu YAMATO

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A method is proposed for realizing any k-valued n-variable function with a celluler array, which consists of linear arrays (called input arrays) and a rectangular array (called control array). In this method, a k-valued n-variable function is divided into k^n-1 one-variable functions and remaining (n1)-variable function. The parts of one-variable functions are realized by the input arrays, remaintng the (n1)-variable function is realized by the control array. The array realizing the function is composed by connecting the input arrays with the control array. Then, this array requires (kn2)k^n-1 cells and the number is smaller than the other rectangular arrays. Next, a ternary cell circuit and a literal circuit are actually constructed with CMOS transistors and NMOS pass transistors. The experiment shows that these circuits perform the expected operations.

Publication: IEICE TRANSACTIONS on Electronics Vol.E76-C No.3 pp.412-418

Publication Date: 1993/03/25

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Type of Manuscript: Special Section PAPER (Special Issue on Multiple-Valued Integrated Circuits)

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Naotake KAMIURA, Yutaka HATA, Kazuharu YAMATO, "Design of a Multiple-Valued Cellular Array" in IEICE TRANSACTIONS on Electronics, vol. E76-C, no. 3, pp. 412-418, March 1993, doi: .
Abstract: A method is proposed for realizing any k-valued n-variable function with a celluler array, which consists of linear arrays (called input arrays) and a rectangular array (called control array). In this method, a k-valued n-variable function is divided into k^n-1 one-variable functions and remaining (n1)-variable function. The parts of one-variable functions are realized by the input arrays, remaintng the (n1)-variable function is realized by the control array. The array realizing the function is composed by connecting the input arrays with the control array. Then, this array requires (kn2)k^n-1 cells and the number is smaller than the other rectangular arrays. Next, a ternary cell circuit and a literal circuit are actually constructed with CMOS transistors and NMOS pass transistors. The experiment shows that these circuits perform the expected operations.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e76-c_3_412/_p

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@ARTICLE{e76-c_3_412,
author={Naotake KAMIURA, Yutaka HATA, Kazuharu YAMATO, },
journal={IEICE TRANSACTIONS on Electronics},
title={Design of a Multiple-Valued Cellular Array},
year={1993},
volume={E76-C},
number={3},
pages={412-418},
abstract={A method is proposed for realizing any k-valued n-variable function with a celluler array, which consists of linear arrays (called input arrays) and a rectangular array (called control array). In this method, a k-valued n-variable function is divided into k^n-1 one-variable functions and remaining (n1)-variable function. The parts of one-variable functions are realized by the input arrays, remaintng the (n1)-variable function is realized by the control array. The array realizing the function is composed by connecting the input arrays with the control array. Then, this array requires (kn2)k^n-1 cells and the number is smaller than the other rectangular arrays. Next, a ternary cell circuit and a literal circuit are actually constructed with CMOS transistors and NMOS pass transistors. The experiment shows that these circuits perform the expected operations.},
keywords={},
doi={},
ISSN={},
month={March},}

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TY - JOUR
TI - Design of a Multiple-Valued Cellular Array
T2 - IEICE TRANSACTIONS on Electronics
SP - 412
EP - 418
AU - Naotake KAMIURA
AU - Yutaka HATA
AU - Kazuharu YAMATO
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E76-C
IS - 3
JA - IEICE TRANSACTIONS on Electronics
Y1 - March 1993
AB - A method is proposed for realizing any k-valued n-variable function with a celluler array, which consists of linear arrays (called input arrays) and a rectangular array (called control array). In this method, a k-valued n-variable function is divided into k^n-1 one-variable functions and remaining (n1)-variable function. The parts of one-variable functions are realized by the input arrays, remaintng the (n1)-variable function is realized by the control array. The array realizing the function is composed by connecting the input arrays with the control array. Then, this array requires (kn2)k^n-1 cells and the number is smaller than the other rectangular arrays. Next, a ternary cell circuit and a literal circuit are actually constructed with CMOS transistors and NMOS pass transistors. The experiment shows that these circuits perform the expected operations.
ER -