Turing machine for copying data



Prerequisite – Turing Machine
Problem – Draw a Turing machine which copy data.

Example –

Steps:

  • Step-1. First convert all 0’s, 1’s into 0’s, 1’s and go right then B into C and go left
  • Step-2. Then convert all 0’s, 1’s into 0’s, 1’s and go left then
  • Step-3. If 1 convert it into X and go right convert all 0’s, 1’s into 0’s, 1’s and go right then convert C into C and go right then convert all 0’s, 1’s into 0’s, 1’s and go right then convert B into 1 and go left then convert all 0’s, 1’s into 0’s, 1’s and go left then convert C into C and go left then convert all 0’s, 1’s into 0’s, 1’s and go left then convert all X into X and go right and then repeat all the process from step-2 till end
  • Step-4. If 0 then convert it into Y and go right then convert all 0’s, 1’s into 0’s, 1’s and go right then convert C into C and go right then convert all 0’s, 1’s into 0’s, 1’s and go right then convert B into 0 and go left then convert all 0’s, 1’s into 0’s, 1’s and go left then convert C into C and go left then convert all 0’s, 1’s into 0’s, 1’s and go left then convert all Y into Y and go right and then repeat all the process from step-2 till end
  • Step-5. Otherwise if C found convert it into C and go left then convert all X into 1 and Y into 0 and go left then convert B into B and go right and stop the machine.

Here, q0 shows the initial state and q1, q2, ….., q9, q10are the transition states and q11shows the final state.
And 0, 1 is the data inside a machine and X, Y, C are the variables used for copy data and R, L shows right and left.



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