A Comprehensive Exploration of the Parallel Prefix Adder Tree Space

Parallel prefix tree adders allow for high- performance computation due to their logarithmic delay. Modern literature focuses on a well-known group of adder tree networks, with adder taxonomies unable to adequately describe intermediary structures. Efforts to explore novel structures focus mainly on the hybridization of these widely-studied networks. This paper presents a method of generating any valid adder tree network by using a set of three, simple, point-targeted transforms. This method allows for possibilities such as the generation and classification of any hybrid or novel architecture, or the incremental refinement of pre-existing structures to better meet performance targets. Synthesis implementation results are presented on the SkyWater 90nm technology.