A novel technique for fast multiplication

Abstract

In this paper we present the design of a new high speed multiplication unit. The design is based on non-overlapped scanning of 3-bit fields of the multiplier. In this algorithm the partial products of the multiplicand and three bits of the multiplier are pre-calculated using only hardwired shifts. These partial products are then added using a tree of carry-save-adders, and finally the sum and carry vectors are added using a carry-look-ahead adder. In case of 2's complement multiplication the tree of carry-save-adders also receives a correction output produced in parallel with the partial products. The algorithms is modeled in a hardware description language and its VLSI chip implemented. The performance of the new design is compared with other recent ones proposed in literatur