  With the high demand of low power digital systems, energy dissipation in the
digital system is one of the limiting factors. Reversible logic is one of the
alternate to reduce heat/energy dissipation in the digital circuits and have a
very significant importance in bioinformatics, optical information processing,
CMOS design etc. In this paper the authors propose the design of new 2- bit
binary Squaring circuit used in most of the digital signal processing hardware
using Feynman & MUX gate. The proposed squaring circuit having less garbage
outputs, constant inputs, Quantum cost and Total logical calculation i.e. less
delay as compared to the traditional method of squaring operation by reversible
multiplier. The simulating results and quantized results are also shown in the
paper which shows the greatest improvement in the design against the previous
methodology.
