If an IP network uses a subnet mask of 255.255.240.0, the maximum number of IP addresses that can be assigned to network interfaces is __________. (answer in integer)

To find the maximum number of assignable IP addresses for network interfaces (hosts):

1. Convert the subnet mask to binary:

   $$\text{255.255.240.0} = 11111111.11111111.11110000.00000000$$

2. Count the network and host bits:

   • Number of prefix (network/subnet) bits $n = 8 + 8 + 4 = 20$

   • Number of host bits $h = 32 - 20 = 12$

3. Calculate total and assignable host addresses:

   • Total IP addresses in this subnet $= 2^h = 2^{12} = 4096$

   • Two addresses are reserved in standard IPv4 subnetting:

     • Network address (all host bits are $0$)

     • Directed broadcast address (all host bits are $1$)

   $$\text{Assignable IP addresses} = 2^{12} - 2 = 4096 - 2 = 4094$$

Thus, the maximum number of IP addresses that can be assigned to network interfaces is 4094.