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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.
Figure: Butterfly permutation
E.g. Xn-1, Xn-2, and X1.X0 = X0 Xn-2 ....... X1 Xn-1
001↔100, 010↔010
011↔110,
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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In a two stage network there are 512 inlets and outlets, r=s=24. If the probability that a given inlet is active is 0.8, calculate: Switching capacity Given: N =M =512, α
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