Let ={0,1,2}be an alphabet. (a) Write out some strings contained in the set (b) LetLbe

Let Σ ={0,1,2}be an alphabet.

(a) Write out some strings contained in the set Σ∗

(b) LetLbe the language defined by the set of all strings from Σ∗that do not contain a 1(i.e. only strings with zero or two are allowed). Write out some strings contained in this language.

c) Instead of using 0,2 as the symbols for L, use a,b and write out some strings contained in this language.

d) Now consider/interpret Σ∗as the set of all possible real numbers contained on the interval[0,1] represented in base 3. Should we interpret L as the set of all possible real numbers contained on the interval [0,1] represented in base 2 (i.e. the set of all possible binary numbers contained in [0,1])?