Novel design and reversible logic synthesis of multiplexer based full adder and multipliers

Quantum arithmetic must be built from reversible logic components. This is the driving force for the proposed novel 3×3 reversible gate termed TKS gate having two of its outputs working as 2:1 multiplexer. The proposed TKS gate is used to design a reversible half adder and is further used to design multiplexer based reversible full adder. The multiplexer based full adder is further used to design reversible 4×4 Array and modified Baugh Wooley multipliers. A novel 4×4 multiplier architecture with reversible logic is also proposed in which the partial products can be generated in parallel and their additions are reduced to logarithmic steps. In the proposed multiplier, all the operations are decomposed into levels, thereby significantly reducing the power consumption through a control circuitry which will switch off those levels which are not active. Thus, this work provides the initial threshold to building of complex systems which can execute more complicated operations. The reversible circuits designed and proposed in this paper form the basis for an ALU of a primitive quantum CPU.