Due to the characteristics of the newly developed DNA computing, many researchers are interested in this specialty. One advantage of DNA " Deoxyribonucleic acid" is that it has ability to resolve a Boolean circuit with various types of gates at the same time in a single level. Most of the prior models suffered from the limitations that each level of the circuit requests the gates to be of some kind. The model proposed in this work increases parallelism and reduces human intervention to a tremendous extent. When level-wise simulation is executed, the simulation for each model shows the decrease in the number of nitrogen bases used, which leads to the processing of the largest number of data with the ability to increase the length of a word, in addition to the adoption of the parallel principle of implementation. The model is designed on a mechanism which includes adder and multiplier.

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Due to the characteristics of Deoxyribonucleic acid DNA chain which contains a very wide range of parallelism mechanism, and the computing processing speed can arrive at 1 billion times per one second. It is worth only a billionth of a traditional computer. It became the focus of the attention of researchers in the field of encryption. The aim of this study is to find an efficient and safe algorithm for data encryption as well as decryption. A symmetric novel method is proposed in this paper depends on DNA encryption by applying a mixture of DNA oligonucleotide and new development of algorithm technology steps. It includes encoding each character to a predefined decimal number, converting it to its equivalent binary number and then converting it into DNA coding. Finally, converts each code of DNA to a number that represents a row and column numbers. Simulation all all text (words) is executed in parallel by using Visual Basic programming, obtained an excellent encoding result in terms of time because all the characters, so the algorithm is able to process the largest number of data, all of them encode at the same time. An efficient, fast and highly encoding scheme has been obtained due to the complete executing parallelism of the DNAbased algorithm.

The need for a simple and effective system that works with high efficiency features such as high processing speed, the ability to solve problems by learning method and accomplish the largest amount of data processing accurately and in little time produces that system, which attracted the efforts of the researcher to employ neural networks in computing away from the complexities that burden traditional computers. We presented a model for the design of the arithmetic circuit for the process of addition the sign digit numbers in a new way to deal with the arithmetic operations, which employment of the use of neural networks, this model includes a theoretical and practical simulation of them. The model relied on the implementation of the addition process based on a three-step algorithm adopted by the signed systems. Which is characterized by the possibility of execution in a parallel way, and therefore it provides the advantage of completion of arithmetic operation regardless of the length of their operands, or in other words, whatever the number of bits in the operands. The simulation of the model is done by entering operands for 6 addition operations (each one has operands are 15-bit length) to be executed simultaneously.

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