What is the subnet mask for a network that requires at least 500 usable IP addre

Practice Questions

Q1
What is the subnet mask for a network that requires at least 500 usable IP addresses?
  1. 255.255.255.0
  2. 255.255.254.0
  3. 255.255.255.128
  4. 255.255.255.192

Questions & Step-by-Step Solutions

What is the subnet mask for a network that requires at least 500 usable IP addresses?
  • Step 1: Understand that each subnet has a certain number of total IP addresses, which includes usable addresses and reserved addresses (like the network and broadcast addresses).
  • Step 2: Determine how many total IP addresses you need. Since we need at least 500 usable addresses, we need to find the next power of 2 that is greater than or equal to 500. The next power of 2 is 512.
  • Step 3: Calculate the number of bits needed to represent 512 addresses. The formula is 2^n = total addresses, where n is the number of bits. For 512, n = 9 because 2^9 = 512.
  • Step 4: Subtract the number of bits used for the host addresses from 32 (the total number of bits in an IPv4 address). So, 32 - 9 = 23. This means we need a /23 subnet mask.
  • Step 5: Convert the /23 subnet mask to decimal format. A /23 subnet mask is 255.255.254.0.
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