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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.
(a) Convert the following number to single precision IEEE 754 based on the procedure described in class and in the notes. Express the result in hexadecimal. Show all your work.
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