Multiple Operand Addition and Multiplication

Abstract

The problem of adding k n-bit numbers, where k ≥ 3 is considered. A novel scheme for adding such k numbers is described. Applying the bit-partitioning technique so that each partition contains m bits of each of these k numbers, where m=[log2(k-1)] is an integer ≥ log2(k-1), the final sum can be obtained in m+1 addition cycles.