a 12. Design a Turing machine that computes the function f(x) = x -2 if x > 20 if x < 2.
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- Design a Turing machine that computes the function f (x) = x − 2 if x > 2 = 0 if x ≤ 2.Let T be the Turing machine defined by the following 5-tuples: (s0, 0, s0, 1, R), (s0, l, s1, 0, R), (s1, l, s2, l, R), (s1, B, s0, 0, R). For the following tape, determine the intermediate tapes, states, and head positions, and final tape, state, and head position when T halts. Assume T begins in the initial position. state s0 ⋯ B B 0 0 0 1 B 0 B B ⋯Let T be the Turing machine defined by the following 5-tuples:(s0, 0, s1, 0, L)(s0, 1, s1, 0, L)(s1, 0, s2, 1, R)(s1, 1, s1, 1, R)(s0, B, s1, 1, R)(s1, B, s2, 0, R)(s2, 0, s3, 1, R)(s3, 1, s3, 1, R)(s3, 0, s4, 0, R)For the following tape, determine the intermediate tapes, states, and head positions; and final tape, state, and head position when T halts. Assume T begins in the initial position.states0 | B | B | 1 | 0 | 0 | B | B | B |
- . Define a Turing Machine that accepts the following language:L = {w ∈ {!, }∗| w = vw'v where v, w' ∈ {!, }∗, |w'| = 2, and |v| = 3}Write a DTM (deterministic Turing Machine) that computes the function nap: {a,b}*→{a,b}* where nap(w) = 1, if w is not a palindrome nap(w) = 0, if w is a palindromeWrite the transition functions and a state diagram for a Turing Machine to copy a string of 1's (i.e. a string consisting of only the symbol 1) and leave a blank space between the original and the copied string. For example, 1111 will become 1111 b 1111 where b is the blank symbol.
- Draw a Turing machine that accepts the language { ai bi | i != j }.Create a Turing Machine where the alphabet is { a b c } and L be the language of all words in which all the a's come before the b's and there are the same number of a's as b's and arbitrarily many c's that can be in front, behind, or among the a's and b's. These strings should be accepted ab abc acb cab cacbc caaccbcb caabcb ccacaabcccbccbc These strings should be rejected a b c ba bab abab abbab bbbbaab bbbbbbbbb aaaabbbbb aaabbbbaaabbbb handwritten digaramCreate a Turing Machine where the alphabet is { a b c } and L be the language of all words in which all the a's come before the b's and there are the same number of a's as b's and arbitrarily many c's that can be in front, behind, or among the a's and b's. These strings should be accepted ab abc acb cab cacbc caaccbcb caabcb ccacaabcccbccbc These strings should be rejected a b c ba bab abab abbab bbbbaab bbbbbbbbb aaaabbbbb aaabbbbaaabbbb Handwroitten weill work.
- Draw a Turing Machine that accepts the following language ing). L = {w ∈ {a,b}* | w is a palindrome }. (For example, a, b, bb, abba, aba, bbb are members of L, but abb, ba, bba are not.}Design a Turing machine that computes the function f(w) = 1 if w is even = 0 if w is odd.Determine a Turing machine for the language L = {ww | w is a string of 0s and 1s} where w is the reversed string of w. If w = 011, then w = 110. The Turing machine must therefore check whether the input string x belongs to the language L