Practical electronics strongly favors binary representations for encoding information (two-state; 0 or 1). in dna, biology uses a quaternary representation of four different nucleobases (four-state; cytosine [c], guanine [g], adenine [a] or thymine [t]) to code for the amino acids with which all the proteins in our bodies are constructed. all proteins are long chemical chains assembled from 20 different types of amino acids. a) what is the minimum number of nucleobase "digits" required to code for the 20 different amino acids? (groups of nucleotides, each coding for a single amino acid in a protein chain, are called "codons" by biologists.) (hint: how many four-state "digits" are needed to represent 20 unique things? )