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Reviewer [FREE] Chegg Unlock #1

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Answer

Solution:

Given,

=>Network address = 172.30.0.0/16

=>Number of subnets required = 100

=>Minimum number of hosts per subnet = 500

The answer will be an option,

(b) 23

Explanation:

Calculating number of bits for subnetting:

=>Number of bits for subnetting = ceil(log2(number of subnets))

=>Number of bits for subnetting = ceil(log2(100))

=>Number of bits for subnetting = 7 bits

Calculating minimum number of bits for host ID:

=>Minimum number of bits for host ID = ceil(log2(number of hosts))

=>Minimum number of bits for host ID = ceil(log2(500))

=>Minimum number of bits for host ID = 9 bits

Calculating prefix length:

=>In the given network address "/16" represents the number of bits for net ID part.

=>Prefix length = net ID bits + subnet ID bits

=>Prefix length = 16 bits + 7 bits

=>Prefix length = 23 bits

=>Hence 23 bits will be required for prefix length and remaining 9 bits will be used for host ID.

=>Hence on the basis of above statements option (b) is correct and other options are incorrect because prefix length = 23



I have explained each and every part with the help of statements attached to the answer above.
 

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