# Turing Machine for complement of a string in Theory Of Automata

## Turing Machine for the complement of a string

Turing Machine in the machine that can convert every 1 to 0 and every 0 to 1.

1. First of all, start the machine.

If there is any 0 on input tape than machine read 0 and write 1.

If there is any 1 on input tape than machine read 1 and write 0.

2. On state 2, there is a loop of;

If there is any 0 on input tape, then machine read 0 and write 1.

If there is any 1 on input tape than machine read 1 and write 0.

3. On state 2, there is a transition of the delta because in the rightmost, always input tape has a delta or can have some other variable instead of the delta.

Accept is the final state where machine halts by successfully accepting the string.

Figure: Turing Machine to makes every 1 as o and every 0 to 1

## Example of Turing Machine for the complement of a string

Suppose the string is 0101101.

Question: How a Turing machine can convert this into its complement?

The path will be looks like;

Path: Start  2 > 2 > 2 > 2 > 2 > 2 > 2 > accept

After the complement, the string will be looks like;

1010010

 String before Complement String after Complement 0101101 1010010
By:Prof. Fazal Rehman Shamil
CEO @ T4Tutorials