Design and Optimization of Booth Multipliers for High-Speed Digital Arithmetic

The Booth multiplier is an efficient algorithm for high-speed multiplication, widely used in digital signal processing and arithmetic logic units. This paper investigates the design, implementation, and optimization of Booth multipliers, emphasizing their ability to minimize partial products and enhance computational efficiency. We analyze different Booth encoding schemes, including radix-2 and radix-4, comparing their performance in terms of speed, power consumption, and hardware complexity. Additionally, we explore modern optimization techniques such as pipelining and parallel processing to further improve efficiency. Simulation results demonstrate that Booth multipliers significantly reduce computation time and hardware resource usage compared to conventional multiplication methods. Our findings underscore the importance of Booth multipliers in modern computing, providing valuable insights for their application in high-performance computing and embedded systems.