Question: (a) Show that any Turing machine can be represented by a natural number (an integer greater than zero). (b) Give a finite description for a

(a) Show that any Turing machine can be represented by a natural number (an integer greater than zero).

(b) Give a finite description for a function f mapping the natural numbers into [0,1], such that f(n) cannot be computed for any n by any Turing machine.

. *** 00001 100 b 0 111000 ... ...

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