Logical Design of Quaternary Signed Digit Conversion Circuit and its Effectuation using Operational Amplifier

Tanay Chattopadhyay · Bonfring International Journal of Power Systems and Integrated Circuits · 2012

In binary number system carry is a major problem in arithmetical operation.We have to suffer O(n) carry propagation delay in n-bit binary operation.To overcome this problem signed digit is required for carry free arithmetical operation.Further, literature reviews suggest that multi-valued logic (MVL) would be a better choice to address the problem of developing faster chips for performing faster computational operation.Quaternary Signed Digit (QSD) have a major contribution in higher radix (=4) carry free arithmetical operation.For digital implementation, the signed digit quaternary numbers are represented using 3-bit 2's compliment notation.In this paper, a simple and new technique of binary (2's compliment) to QSD conversion is proposed and described.Well-known operational amplifier (OPAMP) based digital to analog converter circuit is also given to verify the above technique.

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