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We consider special ternary logic functions: the regular functions suitable for treating ambiguity and the majority functions based on an extended majority principle. The main subjects are: there is a one-to-one correspondence between the n-ary monotone regular ternary logic functions and the \((n+1)\)-ary monotone Boolean functions.
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A Logic Synthesis Methodology for Low-Power Ternary Logic Circuits
IEEE Transactions on Circuits and Systems I: Regular Papers, 2020We propose a logic synthesis methodology with a novel low-power circuit structure for ternary logic. The proposed methodology synthesizes a ternary function as a ternary logic gate using carbon nanotube field-effect transistors (CNTFETs). The circuit structure uses the body effect to mitigate the excessive power consumption for the third logic value ...
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Design and application of pipelined dynamic CMOS ternary logic and simple ternary differential logic
IEEE Journal of Solid-State Circuits, 1993Dynamic CMOS ternary logic circuits that can be used to form a pipelined system with nonoverlapped two-phase clocks are proposed and investigated. The proposed dynamic ternary gates do not dissipate DC power and have full voltage swings. A circuit structure called the simple ternary differential logic (STDL) is also proposed and analyzed, and an ...
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Efficient Ternary Logic Circuits Optimized by Ternary Arithmetic Algorithms
IEEE Transactions on Emerging Topics in ComputingMulti-valued logic (MVL) circuits, especially the ternary logic circuits, have attracted great attention in recent years due to their higher information density than binary logic systems. However, the basic construction method for MVL circuit standard cells and the CMOS fabrication possibility/compatibility issues are still to be addressed.
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We review the main difficulties and advantages in developing CMOS ternary circuits. In addition to employing multiple power sources and multiple thresholds, we describe a new theory of transmission functions for designing CMOS ternary logic circuits. It can explain the main CMOS ternary circuits proposed previously.
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