High performance multiplier designs are the prime need of emerging digital filtering operations. This research study presents a novel architecture of reduced area computation sharing multiplier for Finite Impulse Response (FIR) filter. The same architecture is extended for the floating point applications. The chosen pre-computer alphabet set is the most prominent feature of this architecture. The proposed integer based Computation Sharing High speed Multiplier (CSHM) efficiently computes the vector scalar product based on the distributed arithmetic. The proposed CSHM (8*8) shows 29.81% of area and 46% of power optimization over existing CSHM style. The experimental results for Look up Table (LUT) based implementation shows 57% improvement than the LUT required to implement a existing 8*8 CSHM based FIR filter. The proposed design style is also extended for Floating Point (FP) multiplication. The 4 tap Floating Point Finite Impulse Response (FP FIR) filter is designed in Xilinx environment (No. of LUT's 5919) and TSMC 180 nm technology (power 29.5 mW and area 212636.79 um2) using proposed CSHM. The performance results get improves in terms of power and area over conventional design style. © Maxwell Scientific Organization, 2015.