Draw a state diagram of a Turing machine (TM) recognizing the fol- lowing language over the alphabet E = {0, 1, >}. L = {x >y : 1,y E L(1(0U1)*) ^ bin(r) is a power of 2 A bin(xr) > bin(y)}, where bin(r) is the value of r 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.

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Problems on Turing Machines

In the computational world, the Turing machine is a powerful computation engine. The invention of the Turing Machine is done by Alan Turing in 1936. A Turing Machine (TM) is a diagrammatic model of a fictional computer. It determines an output from a set of input variables using a pre-defined set of rules. It is used to get around the limitations of finite automata and pushdown automata.