System information quantification Based on combinatory patterns

The purpose of this paper is to provide a general basis to quantify and estimate the information in a system by identifying the elements and structure of that system. In this quest, system structure is modeled using Binary graph as the fundamental topology for combinatory patterns of the system. A new System Algebra is defined to formulate the combination path of the system elements. System Information Matrix (SIM) is introduced to demonstrate information imbedded in a system. This model is then used to evaluate the amount of system information based on the concept of Entropy as defined in the information theory. It is concluded that the available information in a system is proportional to the number of distinguished elements in that system and the system information can be quantified as a function of the number of elements in that system.