Abstract

High speed multiplication in Field Programmable Gate Arrays is often performed either using logic cells or with built-in DSP blocks. The latter provides the highest performance for arithmetic operations while being also optimized in terms of power and area utilization. Scalability of input operands is limited to that of a single DSP block and the current CAD tools provide little help when the designer needs to build larger arithmetic blocks. The present thesis proposes an effective approach to the problem of building large integer multipliers out of smaller ones by giving two algorithms to the system designer, for a given FPGA technology. Large word length is required in applications such as cryptography and video processing. The first proposed algorithm partitions large input multipliers into an architecture-aware design. The second algorithm then places the generated design in an optimal layout minimizing interconnect delay. The thesis concludes with simulation and hardware generated data to support the proposed algorithms.