In this paper, it was proposed to design and implement a system of parallel processing to find the required solutions from selective algorithms as quickly. Motives for writing paper are the current performance of computer systems that depend on evolutionary algorithms (EA), and the wide spread of the (EA), and its application to a very wide range of scientific fields, and by taking advantage of the Field programmable gate array (FPGA) board due to its high speed of implementation. The values were validated and the Genetic Algorithm (GA) was used as a functional model and implementation. Also, in the most important stages, the process of calculating fitness function, which is considered an executive criterion for the (GA), with terminal computers with high speeds and medium specifications, was done for the purposes of calculating fitness function independently of Board. Identical results were obtained at 100% accuracy by applying the work to a non-linear quadratic.