Question: 3. Let T be the Turing Machine whose quintuples are: 0,0:0,R,0) -0 1 ( (2,0:0, ,4) (0,1 ,R,) 21:1 0 R ,R' (a) Walk through

3. Let T be the Turing Machine whose quintuples are: 0,0:0,R,0) -0 1 ( (2,0:0, ,4) (0,1 ,R,) 21:1 0 R ,R' (a) Walk through the operation of machine T applied to the following input tapes. Assume the RWH starts in state s = 0 reading the leftmost nonblank character. (i)...1:1|:|1:11100111:11:11:1... (ii) ...I:II:II:I111110I:II:II:I. .. (iii) . . 1:11:11: lOOlOlOIIIIIIIII. . . (iv) ...1:II:II:100110011:I|:I|:1. .. (b) What function does this machine evaluate? That is, if the input tape contains the binary representation of the integer .12, what is left on the tape when T halts? // Hint: look at the input and output strings in decimal. (c) The nal state is 0, 1 etc. Interpret this value as a function of the input integer n

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