Let A be the set of all strings of 0's and 1's, and let T be the set of all strings of 0's and 1's that consist of consecutive triples of identical bits. Consider the coding and decoding functions E and D defined in this section: The encoding function E: A → T is defined as follows: For each string s is in A, E(s) = the string obtained from s by replacing each bit of s by the same bit written three times. The decoding function D: T → A is defined as follows: For each string t is in T, D(t) = the string obtained from t by replacing each consecutive triple of three identical bits of t by a single copy of that bit. (a) Find E (0110) and D (111111000111).