Design of quaternary sequential circuits using a newly proposed quaternary algebra

Jahangir, Ifat; Hasan, Dihan; Siddique, Nahian; Islam, Shajid; Hasan, Md. Mehedi

doi:10.1109/iccit.2009.5407139

Cited by 9 publications

(2 citation statements)

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“…Sequential circuit components like latches, flip-flops, registers and counters are created using the special operators design. Sufficient requirements are developed theoretically and illustrated graphically for the sequential blocks to operate stable [15].Combinational blocks such as encoder, decoder ,multiplexer, demultiplexer and adder are designed in [16] using these operators and functions. NMAX and NMIN circuits are constructed with DLC and offered as voltage comparator applications, respectively, and the voltage-mode quaternary logic circuits NOT only realise three fundamental logic functions [17]..Various authors have designed adders using differential logic,quaternary signed digit number system,withmux,using dual RCA circuit.…”

Section: Related Workmentioning

confidence: 99%

Implementation of Full adder in Multiple valued Logic for Performance Optimization

Monica Kalbande, Tejswini Panse

2024

jes

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Multiple valued logic is now becoming more significant in real-world applications. Mathematical design blocks are essential in digital and mixed-signal systems. A system's arithmetic blocks often use the most power because of the high switching activity. Implementations of quaternary arithmetic may be a way to cut down on energy use while improving system performance. In this paper, quaternary adders are developed using three different approaches, and their binary equivalents are evaluated in terms of size, predicted logic depth, and performance estimation.

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Section: Related Workmentioning

confidence: 99%

Implementation of Full adder in Multiple valued Logic for Performance Optimization

Monica Kalbande, Tejswini Panse

2024

jes

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“…Quaternary logic, a multi-valued logic with radix-4, deals with symbols that contain as much information as two binary digits, yet it is less complex in nature than higher radix systems. Although numerous theoretical and physical variants of quaternary logic can already be found in the literature [6]- [16], we introduced yet another new type of quaternary logic in our earlier works [17]- [21], notably in [22] where we established the foundation of a novel quaternary algebra. We introduced two different types of sum-of-product (SOP) forms to express any quaternary function.…”

Section: Introductionmentioning

confidence: 99%

Optimization of sum of product expressions in a novel quaternary algebra

Das

Jahangir

Hasan

2014

2014 International Conference on Informatics, Electronics &Amp; Vision (ICIEV)

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In this work, several techniques for the optimization of expressions in a novel quaternary algebra are discussed thoroughly. This quaternary algebra, which can be used to implement any quaternary logic function, is closely related to Boolean algebra. A set of quaternary operators are defined and two ways to express any quaternary function mathematically are described. Finally, we have discussed several quaternary functions in which the rules of optimization are used to reduce the complexity of expressions. Since optimization can be done in both forms of SOP in this algebra, this new logic, with the rules of optimization, may be quite useful for efficient implementation of quaternary functions.

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