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EXISTING SYSTEM

PROPOSED SYSTEM

EXISTING CONCEPT:

·         Sign detection plays an essential role in branching operations, magnitude comparisons, and overflow detection. Because the sign information is concealed in each residue digit in  a   residue number system (RNS), sign  detection in an RNS is more difficult than that in the weighted number system, in which the sign is the most significant bit (MSB).

·          Furthermore, sign detection in an RNS is not as efficient as modular operations,such as addition, subtraction, and multiplication, because of its complexity.

PROPOSED SYSTEM:

·         To date is the only brief to use the combinational logic to implement a sign detection algorithm based on {2ⁿ −1, 2ⁿ, 2ⁿ +1}. However, the method cannot be extended to other moduli sets. In this brief, a sign detection algorithm is presented for the moduli set {2ⁿ⁺¹−1, 2ⁿ−1, 2ⁿ }. The proposed sign detection algorithm requires only the addition of the modulo 2ⁿ.

·         Then, a new sign detection unit is developed for the moduli set {2ⁿ⁺¹−1, 2ⁿ−1, 2ⁿ } based on the proposed sign detection algorithm.

EXISTING ALGORITHM:

·         Sign Detection Algorithm {2ⁿ}

PROPOSED ALGORITHM:

         Sign detection unit for the moduli set {2ⁿ⁺¹ − 1, 2ⁿ − 1, 2ⁿ}

ALGORITHM DEFINITION:

·         A sign detection algorithm for the restricted moduli set is described. The new algorithm allows for parallel implementation and consists exclusively of modulo 2ⁿ additions.

ALGORITHM DEFINITION:

·         Sign detection in an RNS is not as efficient as modular operations, such as addition, subtraction, and multiplication because of its complexity. So, we are going to moduli set {2ⁿ⁺¹ − 1, 2ⁿ − 1, 2ⁿ}

DRAWBACKS:

·         Sign detection in an RNS is not as efficient

·         More Complexity

·         Area & Delay Increased

ADVANTAGES:

         Sign detection in an  RNS is  as efficient

         Less Complexity

         Area & Delay Decreased