During the development of microprocessors, Gordon Moore, one of the founders of Intel Corporation, predicted that the number of transistors in a microprocessor chip would eventually double. This empirical law is given by a simple power (exponential) expression. Refinement of Moore’s law at first glance may seem like a technical problem. But this is not at all the case, he describes the social aspects of the development of microelectronics, and not purely technical laws. Therefore, the assessment of Moore’s law is of great interest to sociologists, economists and people interested in the history and development trends of modern information technologies. In the article, for the first time, effective application programs were developed in the environment of the computer mathematics system Mathcad to describe the phenomenon of the development of information technology using Moore’s law. In order to determine how true this law is, we used data that gives an idea of the growth dynamics of the number of transistors (in thousands) on an Intel microprocessor chip since the introduction of the first 4004 microprocessor in 1971. The data covers three decades of development of Intel Corporation processors . These data were processed by non-linear regression and spline interpolation methods. Based on these treatments, a comprehensive analysis of how correct Moore’s law is is made. The system of differential equations describing the dynamics of data changes is solved and graphically displayed in the environment of the Mathcad computer mathematics system under appropriate boundary conditions. The developed application programs can be widely used in engineering, scientific and technical calculations.
key words: Moore’s law, microprocessor crystal, transistor, regression, interpolation, computer simulation, Mathcad system.
