Computer Networks - IP AddressingYou have a network 172.16.0.0/16 and need at least 500 subnets. Which subnet mask should you use?A255.255.254.0 (/23)B255.255.255.0 (/24)C255.255.255.128 (/25)D255.255.240.0 (/20)Check Answer
Step-by-Step SolutionSolution:Step 1: Calculate bits needed for 500 subnets500 subnets require at least 9 bits (2^9=512) for subnetting.Step 2: Determine new subnet maskOriginal mask /16 + 9 bits = /25 (255.255.255.128). /25 gives 512 subnets, enough for 500.Step 3: Check other masks/24 adds 8 bits, total 24 bits, which gives 2^(24-16)=256 subnets, less than 500.Step 4: Check /23 mask/23 adds 7 bits, 2^(23-16)=128 subnets, less than 500.Step 5: Check /20 mask/20 adds 4 bits, 2^(20-16)=16 subnets, less than 500.Final Answer:Use subnet mask 255.255.255.128 (/25) to get at least 500 subnets -> Option CQuick Check:500 subnets need /25 or smaller mask [OK]Quick Trick: More subnets need more bits in subnet mask [OK]Common Mistakes:MISTAKESConfusing subnet bits with host bitsChoosing mask with fewer subnet bitsMiscounting bits needed for subnets
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