Reversible logic gates are very much in demand for the future computing technologies as they are known to produce zero power dissipation under ideal conditions. The applications of reversible logic gates include ultralow power, nano computing, quantum computing, low power CMOS design, optical information processing, bioinformatics etc. This paper proposes an improved design of a multiplier usin...

A low-complexity VLSI array of versatile multiplier in normal basis over GF(2n) is presented. The finite field parameters can be changed according to the user’s requirement andmake themultiplier reusable in different applications. It increases the flexibility to use the same multiplier for different applications and reduces the user’s cost. The proposed multiplier has a regular structure and is...

This paper proposes an optical method to perform a balanced ternary vector-matrix multiplication. Inspired by ternary optical computer‘s ability to process ternary information, we study techniques to realize ternary vector-matrix multiplication (VMM) based on the work of manipulating binary VMM computation. The principle and specific working flow is described in detail and the correctness of th...

In this paper, we use the Walsh Hadamard transform (WHT) as a fundamental tool for analysis of some properties of generalized ternary functions. Some existing binary results obtained for cryptographic functions are generalized to the ternary case, and hence obtain some new characterization of ternary functions based on their spectral analysis. The WHT of ternary functions is expressed in terms ...

In this paper, we introduce the concept of (α, β)-fuzzy ideals in ternary semigroups, which is a generalization of fuzzy ideals in ternary semigroups. We investigate the related properties of ternary semigroups. The lower and upper parts of fuzzy subsets of a ternary semigroup are defined. Characterizations of regular ternary semigroups by the properties of the lower part of (∈,∈∨q)-fuzzy left ...

comparing the performance of a set of activities or organizations under uncertainty environment has been performed by means of fuzzy data envelopment analysis (fdea) since the traditional dea models require accurate and precise performance data. as regards a method for dealing with uncertainty environment, many researchers have introduced dea models in fuzzy environment. some of these models ar...

We introduce a new implementation of a ternary adder with four inputs and two outputs. This ternary adder reduces the number of digits in a multiplication compared with a binary multiplication. One advantage of the ternary adder is that four instead of three inputs within a binary representation will be summed up. In this paper we will compare the complexity of binary against ternary multiplier...

This paper describes the architecture, design & implementation of 2 bit ternary ALU (T-ALU) slice. The proposed ALU is designed for two-bit operation & can be used for n bit operations by cascading n/2 ALU slices. This ALU is implemented using C-MOS ternary logic gates (T-Gates) for ternary arithmetic & logic circuits. Ternary gates are implemented using enhancement / depletion MOSFET technolog...

In this paper, modifying the construction of a C∗-ternary algebra from a given C∗-algebra, we define a proper CQ∗-ternary algebra from a given proper CQ∗-algebra. We investigate homomorphisms in proper CQ∗-ternary algebras and derivations on proper CQ∗-ternary algebras associated with the Cauchy functional inequality ‖f(x) + f(y) + f(z)‖ ≤ ‖f(x+ y + z)‖. We moreover prove the Hyers-Ulam stabili...

In this paper, we introduced the concepts of roughness and fuzziness in ordered ternary semigroups. We proved that the lower and upper approximation of an ordered ternary subsemigroup (resp. left ideal, right ideal, lateral ideal, bi-ideal, interior ideal) in an ordered ternary semigroup is an ordered ternary subsemigroup (resp. left ideal, right ideal, lateral ideal, bi-ideal, interior ideal)....