Secondary Radix Recodings for Higher Radix Multipliers.

Autor: Seidel, Peter-Michael, McFearin, Lee D., Matula, David W.
Předmět:
Zdroj: IEEE Transactions on Computers; Feb2005, Vol. 54 Issue 2, p111-123, 13p
Abstrakt: For progressively higher radices, the reduction in partial products obtained by the well-known modified Booth multiplier recoding is offset by the need to precompute a rapidly increasing store of odd multiples of the multiplicand as inputs to each partial product generator (PPG). We propose secondary radix multiplier recoding schemes reducing the number of odd multiples required in the store for very high radix recodings (e.g., radix 2r for 5 ≤ r ≤ 16). The proposed recoding schemes allow reduction of the number of partial products in the implementation by factors between and beyond the reduction factors of 2, 3, and 4 that can be achieved by traditional Booth recodings to radices 4, 8, and 16, respectively. We develop the theory of these recodings and provide methodology for secondary radix selection. Finally, we summarize latency and cost evaluations of selected implementations indicating potential cost and performance/cost advantages for practical operand sizes. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index