Design of quaternary sequential circuits using a newly proposed quaternary algebra

Implementation of Full adder in Multiple valued Logic for Performance Optimization

“…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.…”

Optimization of sum of product expressions in a novel quaternary algebra

“…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.…”