Memristor is dubbed as the fourth fundamental electrical component which works primarily as a non-volatile memory element. Memristors can also be used to construct logic gates, and Memristor Ratioed Logic (MRL) is one of these structures. The higher area efficiency and CMOS architecture compatibility of MRL gates have lead researchers to pay attention to its use in digital logic architecture. In this work, binary MRL is integrated with Complementary Metal-Oxide Semiconductor(CMOS) logic elements to develop building blocks of an Arithmetic Logic Unit (ALU). The proposed 1-bit ALU is simulated using LTSpice, which allows the versatility of changing the parameters as per the model used. This work designs and analyses an optimized cascadable 1-bit ALU with with voltage level based binary logic state via simulation. The proposed circuit shows improvement in transistor count and delay over benchmark circuits.