Question: Hand draw a transducer TM that gets two numbers and returns the product of them. The numbers are represented by a number of 0 s

Hand draw a transducer TM that gets two numbers and returns the product of them. The
numbers are represented by a number of 0s separated by 1(therefore, the input is any of the sentences
in 010).
For example, the TM with input 001000 should return 000000. Briefly explain how your TM works.
Remember to hand draw it please.

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