A classless address is given as 167.199.170.82/27. The number of addresses in…

Step 1: Determine the number of host bits. The prefix is /27, so host bits = 32 − 27 = 5.

Step 2: Calculate the total number of addresses: 2^5 = 32 addresses.

Note: This total includes the network and broadcast addresses. The number of usable host addresses is 32 − 2 = 30.

Common incorrect answers and why they are wrong:

• 64 addresses: This would correspond to 6 host bits (2^6), not 5 host bits.

• 30 addresses: This is the count of usable hosts (total minus network and broadcast) for a /27, not the total number of addresses.

• 28 addresses: Not derived from the host-bit calculation for /27; likely a mistaken subtraction or confusion with another prefix.