Question: a) Specify a 3-tape Turing machine for binary addition. b) Given a representation of natural numbers and a successor operation in a Universal Computer,

a) Specify a 3-tape Turing machine for binary addition, b) Given a representation of natural numbers and a successor operatio

a) Specify a 3-tape Turing machine for binary addition. b) Given a representation of natural numbers and a successor operation in a Universal Computer, construct 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.

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