16-bit radix-4 continuous valued digit adder

Abstract

The Continuous Valued Number System (CVNS) is a novel analog digit number system which employs bit level analog residue arithmetic. The information redundancy among the digits, makes it easy to perform the required binary operations in higher radices, and reduces the implementation area and the number of required interconnections. CVNS theory can open up a new approach for performing digital arithmetic with simple and elementary analog elements, such as current comparators and current mirrors, and with arbitrary precision. In this paper we discuss the design of 16-bit radix-4 CVNS adder with controlled precision, and a two operand binary adder designed, in TSMC CMOS 0.18µm technology, is used to illustrate the techniques.

A mixed-signal adder based on the Continuous Valued Number System

“…The two input operands are converted into their corresponding CVNS representation, based on the expression (9). Therefore the modular reduction of (2) can be eliminated, since it ensures that digit generation results in canonic digits.…”

“…The number system is analog in nature, and it has been shown that it can also be applied for implementing low-power low-noise arithmetic units. Such number system can open up an alternative path in developing new types of arithmetic and signal processing units, and has already been used in developing high performance arithmetic units [9]- [13].…”