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Residue Number System is generally supposed to use co-prime moduli set. Non-coprime moduli sets are a field in RNS which is little studied. That's why this work was devoted to them. The resources that discuss non-coprime in RNS are very limited. For the previous reasons, this paper analyses the RNS conversion using suggested non-coprime moduli set. This paper suggests a new non-coprime moduli set and investigates its performance. The suggested new moduli set has the general representation as {2 n-2, 2 n , 2 n +2}, where n ∈ {2,3,…..,∞}. The calculations among the moduli are done with this n value. These moduli are 2 spaces apart on the numbers line from each other. This range helps in the algorithm's calculations as to be shown. The proposed non-coprime moduli set is investigated. Conversion algorithm from Binary to Residue is developed. Correctness of the algorithm was obtained through simulation program. Conversion algorithm is implemented.

In this paper a detailed analysis of Data Encryption Standard (DES), Triple DES (3DES) and Advanced Encryption Standard (AES) symmetric encryption algorithms in MANET was done using the Network Simulator 2 (NS-2) in terms of energy consumption, data transfer time, End-to-End delay time and throughput with varying data sizes. Two simulation models were adopted: the first simulates the network performance assuming the availability of the common key, and the second simulates the network performance including the use of the Diffie-Hellman Key Exchange (DHKE) protocol in the key management phase. The obtained simulation results showed the superiority of AES over DES by 65%, 70% and 83% in term of the energy consumption, data transfer time, and network throughput respectively. On the other hand, the results showed that AES is better than 3DES by approximately 90% for all of the performance metrics. Based on these results the AES was the recommended encryption scheme.