This research paper explores the application of hypernetwork learning algorithm for machine learning using the binary double spiral classification task. This study experimentally demonstrates a learning rate of 100 % on the dataset with 121 points and up to 98.22 % on the binary double spiral dataset with 225 points. The findings provide insights into the benefits, usefulness, and potential of hypernetworks in solving complex nonlinear classification tasks. The hypernetwork model could be implemented in field programmable gate arrays (FPGAs). The hierarchical and distributed characteristics of hypernetwork models, coupled with the inherent parallelism of FPGAs, render a potent combination for high-speed response tasks. A unique aspect of this approach is the embodiment of biomimetic hierarchical organization principles akin to biological information processing, which proved to be highly effective in addressing complex computational tasks.