Question: Exercise 2 a) Specify a 3-tape Turing machine for binary addition. b) Given a representation of natural numbers with the successor operation in the Universal

Exercise 2 a) Specify a 3-tape Turing machine for binary addition.

Exercise 2 a) Specify a 3-tape Turing machine for binary addition. b) Given a representation of natural numbers with the successor operation in the Universal Computer, show that there is a program for addition of natural numbers. Hint: Implement the recursive definition of addition in the Universal Computer.] c) Show that there is a virus that can perform addition of natural numbers, and with each output also produce two copies of itself. 30 points

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