6
6
254 - a class C subnet uses 8 bits for the hosts and 0 and 255 are reserved.
A Network
A Network
A subnet mask of 255.255.255.248 corresponds to a /29 prefix, which means there are 3 bits available for host addresses (since 32 bits total - 29 bits for the network = 3 bits for hosts). The formula for calculating the number of addressable hosts is 2^n - 2, where n is the number of host bits. Thus, 2^3 - 2 equals 6 addressable hosts on this network.
The subnet mask for a /26 subnet indicates that the first 26 bits are used for the network portion, leaving 6 bits for the host portion. In this case, the subnet 172.168.2.0/26 can accommodate 2^6 = 64 addresses, but only 62 are usable for hosts (subtracting the network and broadcast addresses). Thus, there are 26 bits designated for the network and 6 bits for hosts within this subnet.
That leaves us 5 bits for the host (32 - 27 = 5); the size of the network is 25 = 32 IP addresses, that is, addresses 10.150.100.96 - 10.150.100.127. The first and last address are not usable (can't be assigned to hosts), which leaves us with addresses 10.150.100.97 - 10.150.100.126.That leaves us 5 bits for the host (32 - 27 = 5); the size of the network is 25 = 32 IP addresses, that is, addresses 10.150.100.96 - 10.150.100.127. The first and last address are not usable (can't be assigned to hosts), which leaves us with addresses 10.150.100.97 - 10.150.100.126.That leaves us 5 bits for the host (32 - 27 = 5); the size of the network is 25 = 32 IP addresses, that is, addresses 10.150.100.96 - 10.150.100.127. The first and last address are not usable (can't be assigned to hosts), which leaves us with addresses 10.150.100.97 - 10.150.100.126.That leaves us 5 bits for the host (32 - 27 = 5); the size of the network is 25 = 32 IP addresses, that is, addresses 10.150.100.96 - 10.150.100.127. The first and last address are not usable (can't be assigned to hosts), which leaves us with addresses 10.150.100.97 - 10.150.100.126.
A network with 6 bits remaining for the host portion can accommodate (2^6 = 64) total addresses. However, two addresses are reserved: one for the network address and one for the broadcast address. Therefore, the number of usable hosts in this network will be (64 - 2 = 62).
The number of bits used to identify the hosts is fixed by the class of the network. Up to 24 bits can make up the host portion of a Class C address.
To accommodate 310 hosts in a subnet, you would need a netmask that provides at least 512 IP addresses, as the number of usable host addresses is calculated as (2^{(32 - n)} - 2), where (n) is the number of bits used for the network portion. A /23 netmask (255.255.254.0) allows for 512 total IP addresses, resulting in 510 usable addresses after subtracting the network and broadcast addresses. Thus, a /23 netmask is suitable for a subnet requiring 310 hosts.
A netmask of 255.255.240.0 corresponds to a /20 subnet, which provides 12 bits for host addresses (32 total bits minus 20 bits for the network). This allows for (2^{12} - 2 = 4096 - 2 = 4094) usable individual systems, accounting for the network and broadcast addresses that cannot be assigned to hosts.
A class A would give you the most flexibility in terms of subnets and hosts per subnet. You could use up to 23 bits of information for subnets.