Complexity Study of the Continuous Valued Number System Adders

The Continuous Valued Number System (CVNS) is a novel analog digit number system which employs digit level analog modular arithmetic. The information redundancy among the digits, allows efficient binary operations using analog circuitry with arbitrary accuracy, which in turn reduces the area and the number of required interconnections. CVNS theory can open up a new approach for performing digital arithmetic with classical analog elements, such as current comparators and current mirrors, and with arbitrary precision. Addition in the CVNS is digit wise and digits do not intercommunicate. In this paper the two operand CVNS adder complexity is compared with similar CVNS adders, as well as conventional threshold adders. Comparisons show that the CVNS adder is more area efficient than conventional threshold logic adders.