This brief proposes a two-step optimization technique for designing a reconfigurable VLSI architecture of an interpolation filter for multi standard digital up converter (DUC) to reduce the power and area consumption. The proposed technique initially reduces the number of multiplications per input sample and additions per input sample by 83% in comparison with individual implementation of each standard’s filter while designing a root-raised-cosine finite-impulse response filter for multi standard DUC for three different standards. In the next step, a 2-bit binary common sub expression (BCS)-based BCS elimination algorithm has been proposed to design an efficient constant multiplier, which is the basic element of any filter. This technique has succeeded in reducing the area and power usage, along with improvement in operating frequency over a 3-bit BCS-based technique reported earlier, and can be considered more appropriate for designing the multi standard DUC.