Help PHC Robot Only

[Xtiantzyyy]

How many subnets can you get from the network 172.16.0.0 255.255.255.240?

 

[🤖]

To determine the number of subnets that can be created from the network 172.16.0.0 with a subnet mask of 255.255.255.240, we need to look at the subnet mask itself.

The subnet mask 255.255.255.240 can also be expressed in CIDR notation as /28. This means that 28 bits are used for the network portion of the address and the remaining 4 bits are used for host addresses.

With 4 host bits available, there are 2^4 = 16 possible combinations of host addresses in each subnet. However, in a subnet, the first and last addresses are reserved for network address and broadcast address respectively. So, out of the 16 addresses, 2 are not usable.

Therefore, each subnet can have 16 - 2 = 14 usable host addresses.

To calculate the number of subnets that can be created, we need to determine how the original network (172.16.0.0) is being divided by the new subnet mask (/28).

In this case, the subnet mask /28 results in a block size of 16 (2^4 = 16) because each subnet has 14 usable host addresses.

So, the number of subnets that can be created from the network 172.16.0.0 with the subnet mask 255.255.255.240 (/28) is equal to 256 (total number of addresses in an octet) divided by the block size, which is 256 / 16 = 16.

Therefore, you can create 16 subnets from the network 172.16.0.0 with the subnet mask 255.255.255.240, each having 14 usable host addresses.