• Title/Summary/Keyword: Multiple Valued Logic

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Design of a High Performance $8{\times}8$ Multiplier Using Current-Mode Quaternary Logic Technique (전류 모드 4치 논리 기술을 이용한 고성능 $8{\times}8$ 승산기 설계)

  • Kim, Jong-Soo;Kim, Jeong-Beom
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.267-270
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    • 2003
  • This paper proposes high performance $8{\times}8$ multiplier using current-mode quaternary logic technique. The multiplier is functionally partitioned into the following major sections: partial product generator block(binary-quaternary logic conversion), current-mode quaternary logic full-adder block, quaternary-binary logic conversion block. The proposed multiplier has 4.5ns of propagation delay and 6.1mW of power consumption. Also, this multiplier can easily adapted to binary system by the encoder, the decoder. This circuit is simulated under 0.35um standard CMOS technology, 5uA unit current, and 3.3V supply voltage using Hspice.

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A modular function decomposition of multiple-valued logic functions using code assignment (코드할당에 의한 다치논리함수의 모듈러 함수분해에 관한 연구)

  • 최재석;박춘명;성형경;박승용;김형수
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.35C no.7
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    • pp.78-91
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    • 1998
  • This paper presents modular design techniques of multiple-valued logic functions about the function decomposition method and input variable management method. The function decomposition method takes avantage of the property of the column multiplicity in a single-column variable partitioning. Due to the increased number of identical modules, we can achieve a simpler circuit design by using a single T-gate, which can eliminate some of the control functions in the module libraty types. The input variable management method is to reduce the complexity of the input variables by proposing the look up table which assign input variables to a code. In this case as the number of sub-functions increase the code-length and the size of the code-assignment table grow. We identify some situations where shard input variables among sub-functions can be further reduced by a simplicication technique. According to the result of adapting this method to a function, we have demonstrated the superiority of the proposed methods which is bing decreased to about 12% of interconnection and about 16% of T-gate numbers compare with th eexisting for th enon-symmetric and irregular function realization.

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MVL Data Converters Using Neuron MOS Down Literal Circuit (뉴런모스 다운리터럴 회로를 이용한 다치논리용 데이터 변환기)

  • Han, Sung-Il;Na, Gi-Soo;Choi, Young-Hee;Kim, Heung-Soo
    • Journal of IKEEE
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    • v.7 no.2 s.13
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    • pp.135-143
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    • 2003
  • This paper describes the design techniques of the data converters for Multiple-Valued Logic(MVL). A 3.3V low power 4 digit CMOS analog to quaternary converter (AQC) and quaternary to analog converter (QAC) mainly designed with the neuron MOS down literal circuit block has been introduced. The neuron MOS down literal architecture allows the designed AQC and QAC to accept analog and 4 level voltage inputs, and enables the proposed circuits to have the multi-threshold properity. Low power consumption of the AQC and QAC are achieved by utilizing the proposed architecture.

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A Context-Aware Model and It's Application Using Difference of Multiple-Valued Logic Functions (다치 함수의 차분을 이용한 상황 인식 모델 및 응용)

  • Koh, Hyun-Jung;Chung, Hwan-Mook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.6
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    • pp.659-664
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    • 2006
  • The Context-Aware system is the core technology in the Ubiquitous Computing Environment. Recently, the practical use of a sensor is magnified and the application fields of it are gradually extended in order to collect necessary context information. Context-Aware service integrates the context information which is collected by sensors, and then provides, a suitable service to a user through the process of analysis and reasoning. This service is studied in a variety of fields such as marketing, medical treatment, education and so on. In this paper, we analyze the method of recognizing surrounding context and the result of the awareness by using differential and structural property of multiple valued logic function; propose the model that provides appropriate service depending on the change of surrounding contort; confirm the applicability of the Context-aware system by showing the example of application.

A Study on Signal Processing Using Multiple-Valued Logic Functions (디치논리 함수를 이용한 신호처리 연구)

  • 성현경;강성수;김흥수
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.12
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    • pp.1878-1888
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    • 1990
  • In this paper, the input-output interconnection method of the multi-valued signal processing circuit using perfect Shuffle technique and Kronecker product is discussed. Using this method, the design method of circuit of the multi-valued Reed-Muller expansions(MRME) to be used the multi-valued signal processing on finite field GF(p**m) is presented. The proposed input-output interconnection method is shown that the matrix transform is efficient and that the module structure is easy. The circuit design of MRME on FG(p**m) is realized following as` 1) contructing the baisc gates on GF(3) by CMOS T gate, 2) designing the basic cells to be implemented the transform and inverse transform matrix of MRME using these basic gates, 3) interconnecting these cells by the input-output interconnecting method of the multivalued signal processing circuits. Also, the circuit design of the multi-valued signal processing function on GF(3\ulcorner similar to Winograd algorithm of 3x3 array of DFT (discrete fourier transform) is realized by interconnection of Perfect Shuffle technique and Kronecker product. The presented multi-valued signal processing circuits that are simple and regular for wire routing and posses the properties of concurrency and modularity are suitable for VLSI.

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A Design Techniques of the Multiple-Valued Combinational Logic Functions Using the Output Value Array Graphs (OVAG를 이용한 다치조합논리함수의 설계 기법)

  • 윤병희;김흥수
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 1999.05a
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    • pp.75-79
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    • 1999
  • 다치결정도(Multiple-valued Decision Diagram : MDD)와 순서화된 다치결정도(Ordered MDD : OMDD)는 다치논리함수의 표현에 폭넓게 사용된다. p치 n변수 인 경우 p$^{(n-1)}$ 으로 증가하는 노드의 수는 ROMDD(Reduced OMDD)를 사용하여 현저하게 감소시킬 수 있다. 그러나 다치와 다변수의 경우에는 더욱 많은 공정을 수반하게 된다. 이러한 단점을 보완하기 위해 Honghai Jiang이 제안한 2치시스템에서의 input implict/output explicit 관계를 갖는 OVAG(Output Value Array Graph)를 사용하여 다치논리함수를 표현한다. 고리고 MDD 표현이 어려운 상황에서 MOVAG(Multi OVAG)를 사용하여 보다 쉽게 출력값을 배열하는 그래프를 이끌어 낼 수 있다. 본 논문에서는 MOVAG의 구성방법과 회로에서 MOVAG로의 변환에 대한 알고리즘을 제안하였고, 알고리즘에 의한 결과를 MDD와 비교하여 노드수 감소에 따르는 처리속도가 개선됨 을 검증하였다.

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Asynchronous 2-Phase Protocol Based on Ternary Encoding for On-Chip Interconnect

  • Oh, Myeong-Hoon;Kim, Seong-Woon
    • ETRI Journal
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    • v.33 no.5
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    • pp.822-825
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    • 2011
  • Level-encoded dual-rail (LEDR) has been widely used in onchip asynchronous interconnects supporting a 2-phase handshake protocol. However, it inevitably requires 2N wires for N-bit data transfers. Encoder and decoder circuits that perform an asynchronous 2-phase handshake protocol with only N wires for N-bit data transfers are presented for on-chip global interconnects. Their fundamentals are based on a ternary encoding scheme using current-mode multiple valued logics. Using 0.25 ${\mu}m$ CMOS technologies, the maximum reduction ratio of the proposed circuits, compared with LEDR in terms of power-delay product, was measured as 39.5% at a wire length of 10 mm and data rate of 100 MHz.

A Design of Adder and Multiplier on GF ( $2^m$ ) Using Current Mode CMOS Circuit with ROM Structure (ROM 構造를 갖는 電流방식 COMS 回路에 依한 GF ( $2^m$ ) 上의 演算器 설계)

  • Yoo, In-Kweon;Seong, Hyeon-Kyeong;Kang, Sung-Su;Kim, Heung-Soo
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.10
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    • pp.1216-1224
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    • 1988
  • In this paper, it is presented element generation, addition, multiplication and division algorithm over GF ($2^m$) to calculate multiple-valued logic function. The results of addition and multiplication among these algorithms are applied to the current mode CMOS circuits with ROM structure to design of adder and multiplier on GF ($2^m$). Table-lookup and Euclid's algorithm are required the computation in large quentities when multiple-valued logic functions are developed on GF ($2^m$). On the contrary the presented operation algorithms are prefered to the conventional methods since they are processed without relation to increasing degree m in the general purpose computer. Also, the presened logic circuits are suited for the circuit design of the symmetric multiplevalued truth-tables and they can be implemented addition and multiplication on GF ($2^m$) simultaueously.

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Single-Electron Logic Cells and SET/FET Hybrid Integrated Circuits

  • Kim, S.J.;Lee, C.K.;Lee, J.U.;Choi, S.J.;Hwang, J.H.;Lee, S.E.;Choi, J.B.;Park, K.S.;Lee, W.H.;Paik, I.B.;Kang, J.S.
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.6 no.1
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    • pp.52-58
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    • 2006
  • Single-electron transistor (SET)-based logic cells and SET/FET hybrid integrated circuits have been fabricated on SOI chips. The input-output voltage transfer characteristic of the SET-based complementary logic cell shows an inverting behavior where the output voltage gain is estimated to be about 1.2 at 4.2K. The SET/FET output driver, consisting of one SET and three FETs, yields a high voltage gain of 13 and power amplification with a wide-range output window for driving next circuit. Finally, the SET/FET literal gate for a multi-valued logic cell, comprising of an SET, an FET and a constant-current load, displays a periodic voltage output of high/low level multiple switching with a swing as high as 200mV. The multiple switching functionality of all the fabricated logic circuits could be enhanced by utilizing a side gate incorporated to each SET component to enable the phase control of Coulomb oscillations, which is one of the unique characteristics of the SET-based logic circuits.

The Fuzzy Inference System Using MacLaurin Series Expansions of Symbolic Multiple Valued Logic Functions (기호 다치 논리 함수의 MacLaurin 전개를 이용한 퍼지 추론 시스템)

  • 정환묵
    • Journal of the Korean Institute of Intelligent Systems
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    • v.6 no.4
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    • pp.3-9
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    • 1996
  • 본 논문에서는 Boole 함수를 기호 다치 논리 함수로 확장하여 법-M(Modulus-M)의 수체계를 기본으로 하는 기호 다치 논리 함수에 대한 MacLaurin 전개의 구조적 성질을 분석한다. 그리고 기호 다치 변수의 상태 변화에 따라 이에 사상된 퍼지 규칙을 자동 생성할 수 있는 기법을 제안한다. 또한 이러한 이론과 성질을 기존의 퍼지 추론 기능과 결합하여 동적인 상태 변화에 적응할 수 있는 퍼지 추론 시스템 설계방법을 제안한다.

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