| Summary: | Efficient adder design is critical for enhancing high-performance computing systems. This
dissertation explores the design, implementation, and analysis of radix-2 adders, with a
particular focus on parallel prefix adder topologies. The study begins with a comprehensive
review of existing adder architectures, including simple adders, carry-select adders, and various
parallel prefix designs such as Kogge-Stone, Brent-Kung, and Ladner-Fischer. Through
theoretical analysis and practical implementation using Verilog and EDA tools, the research
evaluates the timing, power consumption, and area utilization of these adders, providing a
comparative analysis of their strengths and weaknesses. Results highlight the trade-offs between
speed, power efficiency, and area, offering insights into optimal adder selection for specific
applications. Limitations of the study and potential areas for future work, such as exploring
emerging technologies and optimizing adder designs for specialized applications, are discussed.
This research contributes to advancing efficient arithmetic designs in modern computing
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