High Speed Multiplier Implementation Based on Vedic Mathematics

The proposed multiplier pertaining to concepts of Vedic Mathematics was designed to reduce propagation delay, design complexity as well as to optimize power consumption in comparison to conventional multipliers. A multiplier is a key element in DSP systems, serving as a building block of most computational digital systems, therefore, speed and power consumption are two important parameters of design. The Vedic Multiplier computed the partial products in a simultaneous manner and the carry was propagated using ripple carry adders. The higher bit-multipliers were designed using lower-bit multipliers, giving the multiplier a modular structure, thereby reducing the design complexity. The designed 8x8 Vedic Multiplier was coded in VHDL. The results were simulated using the Xilinx Tool and synthesized using System Generator tool on the FPGA board Spartan 1x45-324. Upon simulation of the results, the Vedic Multiplier was found to restrict the delay, compared to the Array and Booth Multipliers.