How can I create a Turing machine with ones and zeros, which finds out if an integer n, represented as a sequence of n 1s (111 representes 3), is divisible by 2 or not. It should start in position of the 1 on the far left. When it stops, the output should be 0 if the number is divisible by 2, and 1 if the number is not divisible by 2. Examples: Input = 111, Output = 001 (3 is not divisible by 2, 3 divided by 2 gives 1 in remainder) Input = 1111, Output = 0000 (4 is divisible by 2, 4 divided by 2 gives 0 in remainder)

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Problems on Turing Machines

In the computational world, the Turing machine is a powerful computation engine. The invention of the Turing Machine is done by Alan Turing in 1936. A Turing Machine (TM) is a diagrammatic model of a fictional computer. It determines an output from a set of input variables using a pre-defined set of rules. It is used to get around the limitations of finite automata and pushdown automata.