• 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 Korean Institute of Telematics and Electronics
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• v.11 no.1
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• pp.15-22
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• 1974

A new ternary full adder using the current controlled negative-resistance circuit is described. The full adder is constructed from the modified-half-adder which was devised by making use of a negative resistance circuit. This full adder makes the number of its gates decrease and makes its own speed increase in comparison with the full adders which had been introduced previously. It is convenient to construct to the integrated circuit because transistor, SBD(Schottky Barrier Diode) and resistors were used as the circuit elements.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.13 no.9
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• pp.1837-1844
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• 2009

In this paper, the circuit of 2 variable ternary adder and multiplier circuit using current mode CMOS are implemented. The presented ternary adder circuit and multiplier circuit using current mode CMOS are driven the voltage levels. We show the characteristics of operation for these circuits simulated by HSpice. These circuits are simulated under $0.18{\mu}m$ CMOS standard technology, $5{\mu}A$ unit current in $0.54{\mu}m/0.18{\mu}m$ ratio of NMOS length and width, and $0.54{\mu}m/0.18{\mu}m$ ratio of PMOS length and width, and 2.5V VDD voltage, MOS model Level 47 using HSpice. The simulation results show the satisfying current characteristics. The simulation results of current mode ternary adder circuit and multiplier circuit show the propagation delay time $1.2{\mu}s$, operating speed 300KHz, and consumer power 1.08mW.

• Communications of the Korean Institute of Information Scientists and Engineers
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• v.3 no.1
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• pp.18-30
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• 1985

This paper describes a logical design of ternary arithmetic circuits based on T-gates. A new circuit of T-gate is proposed which is improved in the stability of operation, and a ternary adder, subtracter, multiplier and divider using the T-gates are realized. The realization of the circuits is based on the Mod-3, system and the Signed Ternary system using digit 0, 1, 2 and -1, 0, +1 as arithmetic states.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.39 no.2
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• pp.123-131
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• 2002

In this paper, a new standard basis parallel ternary-valued multiplier circuit designed using current mode CMOS is presented. Prior to constructing the GF(3$^{ｍ}$) multiplier circuit, we provide a GF(3) adder and a GF(3) multiplier with truth tables and symbolize them, and also design them using current mode CMOS circuit. Using the basic ternary operation concept, a ternary adder and a multiplier, we develop the equations to multiply arbitrary two elements over GF(3$^{ｍ}$). Following these equations, we can design a multiplier generalized to GF(3$^{ｍ}$). For the proposed circuit in this paper, we show the example in GF(3$^{3}$). In this paper, we assemble the operation blocks into a complete GF(3$^{ｍ}$) multiplier. Therefore the proposed circuit is easy to generalize for m and advantageous for VLSI. Also, it need no memory element and the latency not less fewer than other circuit. We verify the proposed circuit by functional simulation and show its result.

• Journal of Applied and Pure Mathematics
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• v.5 no.3_4
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• pp.187-196
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• 2023

This study is about spin half add operations in 𝓑₂ and 𝓑₃. The burden of technological structures has increased due to the increase in the use of today's technological applications or the processes in the digital systems used. This has increased the importance of fast transactions and storage areas. For this, less transactions, more gain and storage space are foreseen. We have handle tit (triple digit) system instead of bit (binary digit). 729 is reached in 3⁶ in 𝓑₃ while 256 is reached with 2⁸ in 𝓑₂. The volume and number of transactions are shortened in 𝓑₃. The limited storage space at the maximum level is storaged. The logic connectors and the complement of an element in 𝓑₂ and the course of the connectors and the complements of the elements in 𝓑₃ are examined. "Carry" calculations in calculating addition and "borrow" in calculating difference are given in 𝓑₃. The logic structure 𝓑₂ is seen to embedded in the logic structure 𝓑₃. This situation enriches the logic structure. Some theorems and lemmas and properties in logic structure 𝓑₂ are extended to logic structure 𝓑₃.

• Proceedings of the Korea Information Processing Society Conference
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• 2010.11a
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• pp.1760-1762
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• 2010

본 논문에서 3치가산기와 승산기(multiplier)는 전류모드 CMOS에 의해서 구현된다. 첫째, 3치 T-gate를 집적회로 설계의 유효 가용성을 갖고 있는 전류모드 CMOS를 이용하여 구현한다. 둘째, 3치 T-gates를 이용해 회로가 유한체 GF (3)에 대하여 2변수 3치 가산표 (2-variable ternary addition table) 및 구구표 (multiplication table)가 실현되도록 구현한다. 마지막으로, 이러한 동작 회로들은 1.5 CMOS 표준 기술과 $15{\mu}A$ 단위전류(unit current) 및 3.3V 소스 전압 (VDD voltage)에 의해 활성화 된다. 활성화 결과는 만족할 만한 전류 특성을 나타냈다. 전류 모드 CMOS에 의하여 실행되는 3치가산기 및 승산기는 단순하며 와이어 라우팅(wire routing)에 대하여 정규적이고, 또한 셀 배열 (cell array)과 함께 모듈성 (modularity)의 특성을 갖고 있다.

• Journal of IKEEE
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• v.8 no.1 s.14
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• pp.54-62
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• 2004

In this paper, we discuss on the design of a current mode CMOS multiplier circuit over $GF(3^m)$. Using the standard basis, we show the variation of vector representation of multiplicand by multiplying primitive element α, which completes the multiplicative process. For the $GF(3^m)$ multiplicative circuit design, we design GF(3) adder and multiplier circuit using current mode CMOS technology and get the simulation results. Using the basic gates - GF(3) adder and multiplier, we build the $GF(3^m)$ multiplier circuit and show the examples for the case m=3. We also propose the assembly of the operation blocks for a complete $GF(3^m)$ multiplier. Therefore, the proposed circuit is easily extensible to other p and m values over $GF(p^m)$ and has advantages for VLSI implementation. We verify the validity of the proposed circuit by functional simulations and the results are provided.