What do you mean by perfect shuffle permutation, Computer Engineering

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Q. What do you mean by Perfect Shuffle Permutation?

Perfect Shuffle Permutation: It was proposed by Harold Stone (1971). Consider N objects each is represented by n bit number for example Xn-1, Xn-2, X0   (N is selected such that N = 2n.)  The perfect shuffle of these N objects is uttered as

Xn-1, Xn-2, X0 = Xn-2, X0   Xn-1

It means perfect shuffle is attained by rotating the address by 1 bit left. For example shuffle of 8 objects is displayed as in figure below

1635_What do you mean by Perfect Shuffle Permutation.png

Figure: Shuffle of 8 objects


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