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ISRO | ISRO CS 2014 | Question 2

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The number of states required by a Finite State Machine, to simulate the behavior of a computer with a memory capable of storing ‘m’ words, each of length ‘n’ bits is?
(A) m x 2n
(B) 2m+n
(C) 2mn
(D) m+n

Answer: (C)

Explanation: Given, ‘m’ words, each of length ‘n’ bits, so total number of bits = m*n
A state of finite state automata can store 1 bit of data, and a state can have either 0 or 1.
Therefore, total number of states required by a Finite State Machine = 2mn.

So, option (C) is correct.

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Last Updated : 07 May, 2018
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