Dear Editor; The aim of this work is finding of the internal mathematical structure of the genetic code on the base of real codon consequences of DNA. The problem is hot and actual today. Key point of this research is non power digitally binary presentations of the 24 integer numbers from 0 to 23 on the following system numbers {1;1;2;4;7;8}. Such non-power binary presentations trough “magic” system {1;1;2;4;7;8} is reveal a new properties such as symmetry. In result author can describe the degeneracy of genetic code. Introducing the parity of the binary codon presentation the author trying to explain the strategy for the error correction in replication processes. I can not conclude what to extent such mathematical model reflect actual (real) internal structure of genetic code. This can be evaluate specialists in genetic science. In my opinion this paper will be interesting for wide word riders because it based on simple mathematical principals.

Keywords: Mathematics, Genetic Code, Models, Genetic