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State diagrams for Turing Machines. Suppose you are given a string w ∈ {0,1}* placed on a Turin...

State diagrams for Turing Machines.

  1. Suppose you are given a string w ∈ {0,1}* placed on a Turing Machine tape. Give the state diagram for the Turing Machine required to take the initial string, w, and replace it on the tape with a new string, w′. The new string, w′, is formed by shifting the entire input string one cell to the right.

  2. Suppose you are given a string w ∈ {0, 1}* placed on a Turing Machine tape. Give the state diagram for the Turing Machine required to take the initial number in binary notation, w, and replace it on the tape with a number in binary notation, w′. The result, w′, is formed by adding 1 to w.

  3. Suppose you are given a string w ∈ {a, b}* placed on a Turing Machine tape. Give the state diagram for the Turing Machine recognizing language: L = {w#w##w|w ∈ {a, b}*}.

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