University of California, Santa Barbara
Binary and more generally radix-2h, arithmetic is predominant in digital systems, to the extent that the user seldom questions its superiority or optimality. Balanced ternary number representation and arithmetic, based on the symmetric radix-3 digit set (-1, 0, +1), has been studied at various times in the history of computing. Among established advantages of balanced ternary arithmetic are representational symmetry, favorable error characteristics and rounding by truncation. In this paper, the authors show an additional advantage: that of lower-error truncated multiplication with the same relative cost reduction as in truncated binary multipliers.