 Suppose you wish to know the value of a specific Turing-uncomputable characteristic function, such as the halting function for TMs, for its nth argument. Take the real number r whose digital expansion encodes the values of the halting function. Then, obtain the value of the nth digit in the binary expansion of r and you have the result you desire. If you can do this, you may obtain any value of any characteristic function defined over strings, including all Turing-uncomputable such functions.