Efficient multiplication and addition of floating-point numbers play a crucial role in digital signal processing applications. To achieve high computational performance with minimal resource utilization, an optimized multiplication approach is essential. Vedic mathematics encompasses the utilization of 16 sutras or algorithms. This paper presents a double-precision floating-point multiplier of 53-bit mantissa based on Vedic mathematics. The proposed architecture performs multiplication in three stages: sign generation, exponent generation, and mantissa multiplication. The Urdhva Tiryakbhyam sutra is employed for mantissa computation owing to its high efficiency and reduced hardware complexity compared to conventional techniques. The proposed multiplier design is implemented using Verilog HDL on Vivado 2022.2. Experimental results demonstrate a significant reduction in critical path delay and logic utilization compared to existing floating-point and Vedic-based multipliers, while maintaining a favorable power consumption trend. The CNN implementation employing the proposed Vedic double-precision floating-point multiplier achieves the lowest inference latency and power consumption while maintaining identical classification accuracy compared to conventional IEEE-754 and existing Vedic-based multiplier designs. Hardware realization on a Zynq FPGA device further confirms the superiority of the proposed architecture in terms of power, delay and on-board component utilization.
Kumar et al. (Thu,) studied this question.