• Journal of IKEEE
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• v.8 no.1 s.14
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• pp.47-53
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• 2004

We present the design of ternary flip-flop which is based on ternary logic so as to process ternary data. These flip-flops are composed with ternary voltage mode NMAX, NMIN, INVERTER gates. These logic gate circuits are designed using CMOS and obtained the characteristics of a lower voltage, lower power consumption as compared to other gates. These circuits have been simulated with the electrical parameters of a standard 0.35um CMOS technology and 3.3Volts supply voltage. The architecture of proposed ternary flip-flop is highly modular and well suited for VLSI implementation, only using ternary gates.

• 전기의세계
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• v.28 no.1
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• pp.43-52
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• 1979

Recently, interest in multivalued(MV) logic system has been increased, despites the apparent difficulties for practical application. This is because of the many advantages of the MV compared with the 2-valued logic systems, such as; (a) higher speed of arithmetical operation on account of the smaller number of digits required for a given data, (b) better utilization of data transmission channels on account of the higher information contents per line, (c) potentially higher density of information storage. This paper describes a MV switching theory and experimental MV logic elements based on current-mode logic technique. These elements tried were a 3-stable pulse generator, a ternary AND, a ternary OR, a MT circuit and a ternary inverter. Tristable flops which are indispensable for constituting a ternary shift register are synthesized using these gates. A BCD to TCD decoder, and vice versa, are proposed by using a ternary inverter and some binary gates. Thus, the feasibility of a large scale MV digital system has been demonstrate.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.40 no.10
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• pp.52-62
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• 2003

This paper discusses ternary logic gate, ternary D flip-flop, and ternary four-digit parallel input/output register. The ternary logic gates consist of n-channel pass transistors and neuron MOS(νMOS) threshold inverters on voltage mode. They are designed with a transmission function using threshold inverter that are in turn, designed using Down Literal Circuit(DLC) that has various threshold voltages. The νMOS pass transistor is very suitable gate to the multiple-valued logic(MVL) and has the input signal of the multi-level νMOS threshold inverter. The ternary D flip-flop uses the storage element of the ternary data. The ternary four-digit parallel input/output register consists of four ternary D flip-flops which can temporarily store four-digit ternary data. In this paper, these circuits use 3.3V low power supply voltage and 0.35m process parameter, and also represent HSPICE simulation result.

• Proceedings of the IEEK Conference
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• 2000.07a
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• pp.347-350
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• 2000

We present the design of ternary flip-flop which is based on ternary logic so as to process ternary data. These flip-flops are fabricated with ternary voltage mode NOR, NAND, INVERTER gates. These logic gate circuits are designed using CMOS and obtained the characteristics of a lower voltage, a lower power consumption as compared to other gates. These circuits have been simulated with the electrical parameters of a standard 0.25 micron CMOS technology and 2.5 volts supply voltage. The Architecture of proposed ternary flip-flop is highly modular and well suited for VLSI implementation, only using ternary gates.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.11 no.3
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• pp.491-499
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• 2007

In this paper, we present a design method of the ternary logic circuits based on Reed-Muller expansions. The design method of the presented ternary logic circuits checks the degree of each variable for the coefficients of Reed-Holler Expansions(RME) and determines the order of optimal control input variables that minimize the number of Reed-Muller Expansions modules. The order of optimal control input variables is utilized the computation of circuit cost matrix. The ternary logic circuits of the minimized tree structures to be constructed by RME modules based on Reed-Muller Expansions are realized using the computation results of its circuit cost matrix. This method is only performed under unit time in order to search for the optimal control input variables. Also, this method is able to be programmed by computer and the run time on programming is $3^n$.

• Journal of the Korean Institute of Telematics and Electronics B
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• v.32B no.12
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• pp.1552-1564
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• 1995

A fault detecting method of ternary logic is proposed by using the spectral coefficients of the Chrestenson function. Fault detecting conditions are derived for a stuck-at fault in case of single input, multiple inputs and internal lines in the ternary logic. The detecting conditions for min/max bridging faults are also considered. When using this fault analysis method, it is possible to detect faults without the test vector and minimize high volume memory for storing the vector and response data. Thus, the computational complexity for the test vector can be decreased.

• Journal of Applied and Pure Mathematics
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• v.6 no.1_2
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• pp.97-103
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• 2024

This study is about digits of numbers in system logic B₃. Any real number is written as digits in the binary system, in the ternary system. The numbers in base two and base three are also written in the B₃ system ternary logic. These two writing methods are transferred into the third method. The real numbers 0,1 and 0, 1, 2 are written as digits. The same real numbers are written as digits of elements of the set -1, 0, 1 in base B₃. The periods here are investigated. The relationship between these digits is analysed.

• Journal of the Korean Institute of Telematics and Electronics B
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• v.31B no.1
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• pp.57-63
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• 1994

The logic function synthesis using ULM U$_h$ is constructed based on canonic Reed-Muller expansion coefficient for a given function. This paper proposes the fast synthesis algorithm using ULM U$_h$ for ternary function. By using circuit cost and synthesis method of proposed in this paper, order of control input variable minimum number of ULM U$_h$ can be decided in the synthesis of n-variable ternary function. Accordingly, this method enables to optimum circuit realization for ternary function synthesis using ULM ULM U$_h$ and can be applied to ternary function synthesis using ULM U$_h$. The complexity of search for select the order of all control input variables is (n+2)(n-1)/2.

• Proceedings of the KIEE Conference
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• 2006.10c
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• pp.142-144
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• 2006

In this paper, the Ternary adder and multiplier are implemented by current-mode CMOS. First, we implement the ternary T-gate using current-mode CMOS which have an effective availability of integrated circuit design. Second, we implement the circuits to be realized 2-variable ternary addition table and multiplication table over finite fields GF(3) with the ternary T-gates. Finally, these operation circuits are simulated by Spice under $1.5{\mu}m$ CMOS standard technology, $1.5{\mu}m$ unit current, and 3.3V VDD voltage. The simulation results have shown the satisfying current characteristics. The ternary adder and multiplier implemented by current-mode CMOS are simple and regular for wire routing and possess the property of modularity with cell array.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.37 no.6
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• pp.42-49
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• 2000

In this paper, we propose the parallel ternary logic circuit design algorithm to DCG Property with 2$^n$ nodes. To increase circuit integration, one of the promising approaches is the use of multiple-valued logic(MVL). It can be useful methods for the realization of compact integrated circuit, the improvement of high velocity signal processing using parallel signal transmission and the circuit design algorithm to optimize and satisfy the circuit property. It is all useful method to implement high density integrated circuit. In this paper, we introduce matrix equation to satisfy given DCG with 2$^n$ nodes, and propose the parallel ternary logic circuit design process to circuit design algorithm. Also, we propose code assignment algorithm to satisfy for the given DCG property. According to the simulation result of proposed circuit design algorithm, it have the following advantage ； reduction of the circuit signal lines, computation time and costs.