Maurice Tutor

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Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Communications Posted 28 Jul 2017 My Price 6.00

Turing machine instructions

1. Suppose we already have Turing machine instructions to copy a unary string; we also know how to add two unary numbers. Describe (in words only) the design of a Turing machine to multiply two unary numbers.

2. Two other Turing machine unary addition algorithms follow.

1. Fill in the separating blank with a 1, go to the far right end and erase two 1s

2. Erase a 1 on the left end, fill in the separating blank with a 1, erase a 1 on the right end

a. Do both of these algorithms work correctly?

b. Write the Turing machine for each of these algorithms.

c. Informally, which of the three addition algorithms (the one given in the chapter and these two) seems most time-efficient?

d. Suppose that the numbers to be added are n and m. The original tape contains the unary representation of n, followed by a blank, followed by the unary representation of m. Write exact expressions in terms of n, m, or both for the time efficiency of each of the three algorithms. Does this confirm your answer from part (c)?

e. Again assuming that the numbers to be added are n and m, write an exact expression for the space efficiency of each of the three algorithms.

Answers

Maurice Tutor
(5)
Status NEW Posted 28 Jul 2017 12:07 AM My Price 6.00

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