• Title/Summary/Keyword: 부울식

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Common Expression Extraction Using Two-cube Quotient Matrices (2-큐브 몫 행렬을 이용한 공통식 산출)

  • Kwon, Oh-Hyeong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.8
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    • pp.3715-3722
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    • 2011
  • This paper presents a new Boolean extraction technique for logic synthesis. This method first calculates divisor/2-cube quotients, 2-cube quotient pairs, and 2-cube quotient matrices. Then we find candidates, which can be common sub-expressions, from 2-cube quotients and matrices. Next, candidate intersection provides the common sub-expressions for several logic expressions. Experimental results show the improvements in literal counts over the previous methods.

A Boolean Logic Extraction for Multiple-level Logic Optimization (다변수 출력 함수에서 공통 논리식 추출)

  • Kwon, Oh-Hyeong
    • Journal of the Korea Computer Industry Society
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    • v.7 no.5
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    • pp.473-480
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    • 2006
  • Extraction is tile most important step in global minimization. Its approache is to identify and extract subexpressions, which are multiple-cubes or single-cubes, common to two or more expressions which can be used to reduce the total number of literals in a Boolean network. Extraction is described as either algebraic or Boolean according to the trade-off between run-time and optimization. Boolean extraction is capable of providing better results, but difficulty in finding common Boolean divisors arises. In this paper, we present a new method for Boolean extraction to remove the difficulty. The key idea is to identify and extract two-cube Boolean subexpression pairs from each expression in a Boolean network. Experimental results show the improvements in the literal counts over the extraction in SIS for some benchmark circuits.

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Targeting Algorithm for Personalized Message Syndication (개인 맞춤형 메시지 신디케이션을 위한 타겟팅 알고리즘)

  • Kim, Nam-Yun
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.12 no.3
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    • pp.43-49
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    • 2012
  • Personalized message syndication is an important process for maximizing the effect of mobile marketing. This paper proposes an algorithm for determining clients satisfying target conditions in real-time. The proxy server as an intermediate node stores client profiles (gender, age, location, etc) and their respective summaries into a database. When a company syndicates messages at run time, the proxy server maps target conditions expressed by boolean expressions to integer value and determines target clients by comparing target value with profile summary. Thus, this approach provides efficient personalized message syndication in very large systems with millions of clients because it can determine target clients in real-time and work with a traditional database easily.

A RTL Binding Technique and Low Power Technology Mapping consider CPLD (CPLD를 고려한 RTL 바인딩과 저전력 기술 매핑)

  • Kim Jae-Jin;Lee Kwan-Houng
    • Journal of the Korea Society of Computer and Information
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    • v.11 no.2 s.40
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    • pp.1-6
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    • 2006
  • In this paper, a RTL binding technique and low power technology mapping consider CPLD is proposed. Allocation processing selected module consider the module calculation after scheduling process for circuit by HDL. Select CPLD for constrain after allocation. A Boolean equation is partitioned for CLB by allocated modules. The proposed binding algorithm is description using optimum CLB within a CPLD consider low power. The proposed algorithm is examined by using 16 bit FIR filter. In the case that applicate the algorithm, the experiments results show reduction in the power consumption by 43% comparing with that of non application algorithm.

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The Matching of Free-Form surface using Motion-based RMC (이동 기반의 RMC을 이용한 자유형태 곡면 매칭방법)

  • Park, Chul-Ho
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.11
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    • pp.3544-3555
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    • 2000
  • 매칭방법은 기하 및 입체 모델링에서 재단 곡면과 이들에 대한 부울 연산에 사용되는 기초적인 연산이다. 그러나 매칭연산은 부드러움을 정확하게 표현하는데 고 차수의 미분계수 제약조건으로 인하여 많은 계산량이 필요할 뿐만 아니라 곡면상의 여러 점을 동시에 선택하여 이동하였을 때, 곡면표현에 사용되는 복잡한 함수식으로 인하여 일반해를 구하기 어려운 단점을 가진다. 본 논문은 분수식에 의하여 RMC(Rotation-Minimizing Curve)을 정의하고 이를 이용하여 자유 형태 곡면간에 변형 매칭 방법을 제안한다. RMC는 매칭곡선과 곡면의 접선벡터, 회전벡터, 곡률의 변화율과 같은 기하학적 기법을 기반으로 한다. 제안한 방법은 입력으로 주어지는 곡면의 기하학적 복잡도와는 무관하게 매칭을 수행할 수 있으며 수행 성능은 계산된 매칭 곡선의 복잡도에 의해서만 좌우된다. 또한 곡선 표현에 사용된 값들을 정의된 매칭 곡선식에 그대로 적용할 수 있었으므로 최적화 응용 문제에 효율적으로 적용할 수 있다.

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Common Logic Extraction Using Hamming Distance 3 Cubes (해밍거리가 3인 큐브를 활용한 공통식 추출)

  • Kwon, Oh-Hyeong
    • The Journal of Korean Association of Computer Education
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    • v.20 no.4
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    • pp.77-84
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    • 2017
  • This paper proposes a tool that can be used as a logical expression simplification tool that can be used for deepening learning of logic circuits and further utilized as a design automation tool for optimizing semiconductor parts. The simplification method of logical expressions proposed in this paper is to find common subexpressions existing in various logical expressions and reduce the repetitive use. Finally, the goal is to minimize the number of literals used in all logical expressions. These previous studies failed to produce a common subexpression embedded in the logical expressions because they only use division principle. The proposed method uses cubes with a Hamming distance of 3 to find the common subexpression embedded between logical expressions. Experiments using benchmark circuits show that the proposed method reduces the number of literals by as much as 47% when comparing simplifications with other methods.

An Efficient CPLD Technology Mapping considering Area and the Time Constraint (시간 제약 조건과 면적을 고려한 효율적인 CPLD 기술 매핑)

  • Kim Jae-Jin;Lee Kwan-Houng
    • Journal of the Korea Society of Computer and Information
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    • v.10 no.3 s.35
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    • pp.11-18
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    • 2005
  • In this paper, we propose a new technology mapping algorithm for CPLD consider area under time constraint. This algorithm detect feedbacks from boolean networks, then variables that have feedback are replaced to temporary variables. Creating the temporary variables transform sequential circuit to combinational circuit. The transformed circuits are represented to DAG. After traversing all nodes in DAG, the nodes that have output edges more than two are replicated and reconstructed to fanout free tree. Using time constraints and delay time of device, the number of graph partitionable multi-level is decided. Several nodes in partitioned clusters are merged by collapsing, and are fitted to the number of OR-terms in a given CLB by bin packing. Proposed algorithm have been applied to MCNC logic synthesis benchmark circuits, and have reduced the number of CLBs by $62.2\%$ than those of DDMAP. And reduced the number of CLBs by $17.6\%$ than those of TEMPLA.

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Boolean Factorization (부울 분해식 산출 방법)

  • Kwon, Oh-Hyeong
    • Journal of the Korean Society of Industry Convergence
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    • v.3 no.1
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    • pp.17-27
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    • 2000
  • A factorization is an extremely important part of multi-level logic synthesis. The number of literals in a factored form is a good estimate of the complexity of a logic function. and can be translated directly into the number of transistors required for implementation. Factored forms are described as either algebraic or Boolean, according to the trade-off between run-time and optimization. A Boolean factored form contains fewer number of literals than an algebraic factored form. In this paper, we present a new method for a Boolean factorization. The key idea is to build an extended co-kernel cube matrix using co-kernel/kernel pairs and kernel/kernel pairs together. The extended co-kernel cube matrix makes it possible to yield a Boolean factored form. We also propose a heuristic method for covering of the extended co-kernel cube matrix. Experimental results on various benchmark circuits show the improvements in literal counts over the algebraic factorization based on Brayton's co-kernel cube matrix.

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The design of digital circuit for chaotic composition map (혼돈합성맵의 디지털회로설계)

  • Park, Kwang-Hyeon;Seo, Yong-Won
    • Journal of Advanced Navigation Technology
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    • v.17 no.6
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    • pp.652-657
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    • 2013
  • In this paper the design methode of a separated composition state machine based on the compositive map with two chaotic maps together and the result of that is proposed. The digital circuits of chaotic composition map for the use of chaotic binary stream generator are designed in this work. The discretized truth table of chaotic composition function which is composed of two chaotic functions - the saw tooth function and skewed logistic function - is made out, and also simplefied Boolean algebras of digital circuits are obtained as a mathematical model. Consequently, the digital circuits of the map for chaotic composition function are presented in this paper.

An Efficient CPLD Technology Mapping considering Area under Time Constraint (시간 제약 조건하에서 면적을 고려한 효율적인 CPLD 기술 매핑)

  • Kim, Jae-Jin;Kim, Hui-Seok
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.38 no.1
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    • pp.79-85
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    • 2001
  • In this paper, we propose a new technology mapping algorithm for CPLD consider area under time constraint(TMFCPLD). This technology mapping algorithm detect feedbacks from boolean networks, then variables that have feedback are replaced to temporary variables. Creating the temporary variables transform sequential circuit to combinational circuit. The transformed circuits are represented to DAG. After traversing all nodes in DAG, the nodes that have output edges more than two are replicated and reconstructed to fanout free tree. This method is for reason to reduce area and improve total run time of circuits by TEMPLA proposed previously. Using time constraints and delay time of device, the number of graph partitionable multi-level is decided. Initial cost of each node are the number of OR-terms that it have. Among mappable clusters, clusters of which the number of multi-level is least is selected, and the graph is partitioned. Several nodes in partitioned clusters are merged by collapsing, and are fitted to the number of OR-terms in a given CLB by bin packing. Proposed algorithm have been applied to MCNC logic synthesis benchmark circuits, and have reduced the number of CLBs by 62.2% than those of DDMAP. And reduced the number of CLBs by 17.6% than those of TEMPLA, and reduced the number of CLBs by 4.7% than those of TMCPLD. This results will give much efficiency to technology mapping for CPLDs.

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