In this paper, the usage of graphene transistors is introduced to be a suitable solution for extending low power designs. Static and current mode logic (CML) styles on both nanoscale graphene and silicon FINFET technologies are compared. Results show that power in CML styles approximately are independent of frequency and the graphene-based CML (GCML) designs are more power-efficient as the frequency and complexity increase. Compared to silicon-based CML (Si-CML) standard cells, there is 94% reduction in power consumption for G-CML counterparts. Furthermore, a G-CML 4-bit adder respectively offers 8.9 and 1.7 times less power and delay than the Si-CML adder.