Draw a state diagram of a Turing machine (TM) recognizing the fol- lowing language over the alphabet Σ = {0, 1, >}. L = {x > y : x, y ∈L(1(0∪1)∗) ∧bin(x) is a power of 2 ∧bin(x) > bin(y)}, where bin(x) is the value of x viewed as a binary number. Note that besides edge labels like 0 → 1, R, we allow abbreviations like 0 →R, standing for 0 →0, R, and 0, 1 →R, standing for 0 →0, R, 1 →1, R.
Draw a state diagram of a Turing machine (TM) recognizing the fol-
lowing language over the alphabet Σ = {0, 1, >}.
L = {x > y : x, y ∈L(1(0∪1)∗) ∧bin(x) is a power of 2 ∧bin(x) > bin(y)},
where bin(x) is the value of x viewed as a binary number.
Note that besides edge labels like 0 → 1, R, we allow abbreviations
like 0 →R, standing for 0 →0, R,
and 0, 1 →R, standing for 0 →0, R, 1 →1, R.
Turing machine :- A Turing machine is a mathematical model of computation that defines an abstract machine that manipulates symbols on a strip of tape according to a table of rules. Also, it consists of an infinite length tape divided into cells on which input is given. It consists of a head which reads the input tape. If the TM reaches the final state, the input string is accepted, otherwise rejected.
Use of Turing machine :-
A Turing machine is an abstract computational model that performs computations by reading and writing to an infinite tape. Turing machines provide a powerful computational model for the solving problems in computer science and testing the limits of computation.
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