Enhancing multiplication efficiency: Harnessing Booth algorithm and Wallace tree synergy for 32-bit signed multipliers

Abstract

This paper focuses on exploring performance optimization strategies for 32-bit signed multipliers in the realm of digital computation. The ingenious combination of the Booth algorithm and the Wallace tree takes center stage as the core of this research. Through a thorough analysis of this combined technique, the paper unveils its multifaceted advantages in multiplication operations. The unique contribution of the Booth algorithm is elaborately discussed, which involves streamlining the multiplication process by reducing the number of addition operations. Subsequently, the exceptional performance of the Wallace tree in accelerating the merging of partial products is highlighted. Through the synergistic interplay of these two techniques, the efficiency of multiplication operations is significantly enhanced, particularly suited for domains necessitating high-speed arithmetic computations, such as graphics processing and digital signal processing. The paper delves further into the significance of optimizing resource utilization, particularly in the field of integrated circuit design. By minimizing addition operations and optimizing parallel processing, the complexity of hardware implementation is reduced, leading to a notable decrease in resource requirements. This advantage proves invaluable in modern integrated circuit design, aiding designers in striking an optimal balance between spatial efficiency and power consumption.