Question: 2. (20%) (a) Construct a Turing transducer over {0, 1} that duplicates the last symbol of the input (and leaves input & unchanged). For example,

2. (20%) (a) Construct a Turing transducer over {0, 1} that duplicates the last symbol of the input (and leaves input & unchanged). For example, for input 01011 the output should be 010111. Try to construct your transducer so as to never use a back-step of the cursor. (b) Give the computation trace of your transducer for input 011
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