 <p>It depends from the task. There are plenty of tasks, for which John von Neumann computers are good enough. For example calculate precise values of functions in some range, or for example apply some filter at image, or store text into db and read it from it or store prices of some products etc. This is not area where NN are needed. Of course it is possible theoretically to train NN to choose where and how to save data. Or to train it to accountancy. But for cases where big array of data need to be analyzed, and current methods doesn't feet NN can be option to consider. Or speech recognition, or buying some pictures which will become masterpieces in the future can be done with NN.</p>