A Turing machine is a basic model of a computer that can perform any mathematical calculation by following a set of rules to manipulate symbols on the tape
Turing machines are useful because they provide a simple and fundamental model for how a computer works. They help computer scientists understand what can and cannot be computed by a machine, which is important for developing and analyzing algorithms and programming languages. By using a Turing machine, computer scientists can determine whether a given problem is computable or not, and if it is computable, how much time, space, and resources it will require for a machine to solve it
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