In this chapter a holistic approach towards the design of energy-efficient circuitry has been discussed. The novel material graphene with extraordinary mechanical, electrical, thermal and magnetic properties has been shown to have a huge potential in replacing copper for clocking the nanomagnetic-based circuits so that the huge current required for generating external magnetic field can be reduced. Through simulation results the above mentioned has also been established. This chapter on the other hand also provides an insight on nanomagnetic computing for next generation interconnects and logic design. The role of MQCA-based digital arithmetic circuits and their impact has also been well demonstrated in this chapter. © The Institution of Engineering and Technology 2019.