DNA is not really processed like that, afaik. Mostly, each 3 bases code for an amino acid, which are glued together to a string (protein), which folds in a 3D structure based on the characteristics of all amino acids.

Some DNA is used to attract other proteins, or even interact with DNA elsewhere on the strand, or is translated to RNA (one-on-one) which can then have a function based on its sequence or the structure it folds into.

Any 'logic' there is, is built _on top_ of this.