Abstract: The present invention provides an innovative method and system for quantifying the binary words symmetry. Information of all kinds is necessarily interpreted by binary words. Quantifying the symmetry of these binary words, regardless of their size, is a new approach that makes available a new measure that can better appreciate the complexity, the information, the redundancy or the physical structure contained in each binary word and hence, in its source. Binary numbers processing can, thanks to this measure, have new tools for new approaches in many areas such as Information Theory and Theory of Symmetry which plays a significant role in Mathematics, Chemistry, Biology, Crystallography, etc. This method is based on computational system that generates the concerned ‘Symmetric Value’ of any binary number as well as its two amazing ‘Symmetric Value Matrixes’ which do not require storage to be known, regardless of their size.