Explain about butterfly permutation, Computer Engineering

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Q. Explain about Butterfly permutation?

Butterfly permutation:  This kind of permutation is attained by interchanging the most significant bit in address with least significant bit.

348_Explain about Butterfly permutation.png

Figure: Butterfly permutation

E.g. Xn-1,   Xn-2, and X1.X0 = X0 Xn-2 ....... X1 Xn-1

 001↔100,    010↔010


An interconnection network derived from this permutation is the butterfly network. A butterfly network falls under the type of blocking networks and it doesn't permit an arbitrary connection of N inputs to N outputs without conflict. The butterfly network is customized in Benz network.  The Benz network comes under non-blocking network and it is produced by combining two butterfly networks end to end, in a manner that data flows forward by one and in reverse by the other.

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