Determine percentage of permutations that can be realized

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Problem

Prove the following properties associated with multistage Omega networks using different-sized building blocks:

(a) Prove that the number of legitimate states (connections) in a k )k switch module equals kk.

(b) Determine the percentage of permutations that can be realized in one pass through a 64-input Omega network built with 2 >: 2 switch modules.

(c) Repeat part (b) for a 64-input Omega network built with 8 x 8 switch modules.

(d) Repeat part (b) for a 512-input Omega network built with 8 x 8 switch modules.

 

Reference no: EM131942465

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