16-bit Binary Multiplication Using High Radix Analog Digits

In this paper, a binary multiplier based on the Continuous Valued Number System (CVNS), and consisting of arrays of current mode modulo adders, is discussed. The Continuous Valued Number System uses analog current mode circuitry, with attendant very low system noise, to create arithmetic units with arbitrary equivalent digital precision. A series of analog digits, computing over arbitrary radix rings is used, in a forward correction mode, to achieve this comparable digital accuracy despite the fact that the implementation employs only relatively simple analog circuits. To reduce the area and power requirements in CVNS multipliers, columns of partial products are added in higher radices. In this paper, details of the design and implementation of a 16-bit binary multiplier in radix-4 CVNS are provided.