Describe the hardware complexity of benz network, Computer Networking

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Q. Describe the Hardware complexity of Benz Network?

Hardware complexity of Benz Network:  Benz network employs lesser switches and it gives good connectivity. To come across hardware complexity of Benz network let's suppose

            N = 2n   => n = log2 N

Number of phases in N input Benz network = 2n-1 = 2 log2 N -1

Number of 2Χ2 switches in every stage = N/2.

Total number of cells in network = (N/2) (2 log2 N-1) = Nlog2N- N/2

Number of switches in various networks for different inputs is displayed in the following table:

Input 

No. of cross bars   

Switches Clos Net       

Benz Net

 

2

4

9

4

8

64

69

80

64

4096

1536

1408

256

65536

12888

7680

So we can analyze from above table that for larger inputs Benz Network is the best since it has the least number of switches.


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