Arithmetic with Signed Analog Digits

This paper presents mathematical foundtions of the Overlap Resolution Number System (ORNS) which employs signed Continuous Valued Digits (CVD's). ORNS is a redundant Number System employing residue arithmetic. In contrast to the implementation of arithmetic by binary or multiple-valued logic circuits, arithmetic operations in this novel number system are performed by analog digit manipulation circuitry. The redundancy in an ensemble of Continuous Valued Digits that comprises a number, provides tolerance to implementation imprecisions. Processing with these analog digits implies carry-free arithmetic structures with systematic redundancy.

• Type: Conference
• Year: 1999
• Where: ARITH
• Authors: Aryan Saed, Majid Ahmadi, Graham A. Jullien
• Keywords: Analog Digits, Applied Computing, ARITH 1999, Continuous Valued Digits, Number System