## 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 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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### Discrete Mathematics and Its Applications

**Authors:** Kenneth H. Rosen

7th edition

0073383090, 978-0073383095

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