A technician must accommodate at least 500 subnets from address 172.16.0.0/16. What is an appropriate subnet mask and corresponding number of available host IP addresses per subnet to meet the requirement?
- 255.255.255.192 and 126 hosts
- 255.255.255.0 and 128 hosts
- 255.255.255.128 and 126 hosts
- 255.255.255.224 and 128 hosts
Explanation: The network address 172.16.0.0 has a default mask of 255.255.0.0 (/16). This address has 16 bits in the network portion and 16 bits in the host portion. To have at least 500 subnets, you need to borrow 9 bits (subnets) from the host portion (2^9 = 512 subnets), leaving 7 bits to create hosts. Thus the resulting netmask is 255.255.255.128, and the number of hosts per subnet is 2^7 = 128 - 2 = 126 hosts.
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