1. A method for generating output bytes corresponding to respective input bytes according to a one-to-one binary function representing a cryptographic algorithm, the method comprising: decoding an input byte and generating at least one bit string that contains only one active bit, with the decoding comprising subdividing the input byte into a left nibble and a right nibble, and decoding the left nibble and right nibble into a left 16-bit string and a right 16-bit string, respectively, each 16-bit string containing only one active bit; using an array of logic gates for logically combining the 16-bit strings according to the one-to-one binary function and generating an encrypted 256-bit string without the use of a lookup table; and encoding the encrypted 256-bit string for obtaining an output byte for the cryptographic algorithm.