If A is a set of natural numbers and k is a natural number
Chapter , Problem 1.56(choose chapter or problem)
If A is a set of natural numbers and k is a natural number greater than 1, letBk(A) = {w| w is the representation in base k of some number in A}.Here, we do not allow leading 0s in the representation of a number. For example, B2({3,5}) = {11,101} and B3({3,5}) = {10,12}. Give an example of a set A for which B2(A) is regular but B3(A) is not regular. Prove that your example works.
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