This paper introduces the computationally efficient, low power, high-speed partial reconfigurable finite impulse response (FIR) filter design usingmultiple constant multiplication technique (MCM). The complexity of many digital signal processing (DSP) systems is reduced by MCM operation. Forthe better performance of DSP systems, MCM operation is not sufficient. To get better results, some other operations are used with MCM. That’s why,this paper introduces a common sub-expression elimination operation of FIR filter design can be solved by decreasing the number of operators. Usingthese techniques shows the efficiency by reducing area when compared to previously used algorithms designed.