Design of quaternary logic systems and circuits

Abstract

The principles and possibilities of design of fully quaternary multiple valued combinational logic systems and circuits are described and proposed in the paper. Different ways of design of fully quaternary combinational logic systems and circuits are considered and described first. Then algorithm for automated computerized design of such systems and circuits is considered and proposed. The algorithm gives possibility for synthesis and optimization of quaternary logic systems and circuits. It is applied on design of CMOS quaternary multiple valued logic systems and circuits. The algorithm includes the most important aspects of design of quaternary logic circuits: logic circuit scheme synthesis and logic circuit optimization. Methods for synthesis of quaternary CMOS combinational logic circuits are proposed and described. Also, method for optimization of CMOS quaternary logic circuits, according to operation conditions and needed characteristics, is proposed and described. Design procedure is realized by personal computer using PSPICE for circuit simulation. Computer PSPICE simulation results confirming described methods and conclusions are given in the paper.

Novel qutrit circuit design for multiplexer, De-multiplexer, and decoder

“…In quantum multiple-valued logic, quantum ternary logic is the most popular type. In comparison with binary logic, quantum ternary logic offers several advantages, including higher security [35,36], stronger quantum information processing [37], higher density of stored information, reduced interconnection complexity and area [38], lower power consumption and improved fault tolerance [39]. Ternary quantum computation achieves higher error tolerance when compared to binary quantum computation [55].…”

Quaternary Reversible Circuit Optimization for Scalable Multiplexer and Demultiplexer

“…With respect to reversible binary logic, reversible multiple-valued logic is more secure in quantum cryptography [13], [14], [15] and more potent in quantum information processing [16]. Moreover, it exhibits a lower interconnection complexity [17] and a lower power consumption, and it is more error tolerant for quantum computations [18], [19]. Even though ternary logic is one of the most successful types of multiple-valued logic and many important works in this field [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], a limitation is that conventional binary logic functions cannot be easily represented in ternary logic.…”