Maurice Tutor

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Category > Management Posted 04 Feb 2018 My Price 9.00

binary-GCD state machine

The binary-GCD state machine computes the GCD of a and b using only division by 2 and subtraction, which makes it run very efficiently on hardware that uses binary representation of numbers. In practice, it runs more quickly that the Euclidean algorithm state machine

(a) Prove that if this machine reaches a “final” state .x; y; e in which no transition is possible, then e = gcd.(a; b).

(b) Prove that the machine reaches a final state in at most 3 + 2 log max. (a; b)transitions.

 
 

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Maurice Tutor
(5)
Status NEW Posted 04 Feb 2018 12:02 AM My Price 9.00

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