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The UTM (universal Turing machine) operates with a fixed alphabet. We claim that the UTM can...

The UTM (universal Turing machine) operates with a fixed alphabet. We claim that the UTM can simulate any Turing machine, but the Turing machine (to be simulated) may have an input alphabet Σ (for example the Greek alphabet) and an output alphabet Ω (for example the English alphabet) which are different than the UTM’s alphabet.

1 Explain how a string over Σ can be converted to a string over the UTM’s alphabet, a process we can call CODING.

2 Explain how a string over UTM’s alphabet can be converted to a string over Ω, a process we can call DECODING.

3 Explain how CODING and DECODING can be carried out by VERY SIMPLE Turing machines​

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