Course Solutions Uncategorized (Solved) : 2 20pt Construct Deterministic Turing Machine M Subtracts One Binary Input Positive Sets Z Q33388640 . . . .

(Solved) : 2 20pt Construct Deterministic Turing Machine M Subtracts One Binary Input Positive Sets Z Q33388640 . . . .

 

2. (20pt) Construct a deterministic Turing machine M that subtracts one from its binary input if it is positive and sets it to zero if its input is zero. This machine computes the function 0 if n is 0 n otherwise f(n) = M starts with the initial configuration (s, , where w E [o, 1]; the binary input w is interpreted as an integer number. The machine must remove all leading zeros from the input and halt in the appropriate configuration (h.g(w-1) (2)) or (h, 0), where w(2) is the binary representation of w. If w = ε, treat it as a representation of o. Here are some examples of M s behaviour (s,D)-(h,o (s, 0000)1-*(h, o) (s, 01)-(h,o (6,0111)(h, 0110) (s, 므001 100) |-* (h,L1011) Describe M using the macro language (such as the one in Example 17.8, p. 377 of textbook)

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