start with the subnet for 1000 hosts. To accommodate 1000 hosts, we need to find the smallest subnet size that can accommodate at least 1000 hosts. Since 2^10 = 1024, we need at least 10 host bits.
Given that the original network is 172.16.0.0/18, we have 18 network bits and 14 host bits. To create a subnet with 10 host bits, we'll borrow 2 more bits from the host portion, making it a /20 subnet (18 network bits + 2 subnet bits + 10 host bits).
Here are the details for the subnet with 1000 hosts:
Subnet mask: /20 (255.255.240.0) Network ID: 172.16.0.0 Broadcast ID: 172.16.15.255 Usable IP range: 172.16.0.1 to 172.16.15.254
Next, let's proceed with the subnet for 700 hosts. We already used 4 bits for the previous subnet (/20), so we need to borrow 3 more bits to accommodate 700 hosts. This gives us a /23 subnet (18 network bits + 3 subnet bits + 7 host bits).
Here are the details for the subnet with 700 hosts:
Subnet mask: /23 (255.255.254.0) Network ID: 172.16.16.0 Broadcast ID: 172.16.17.255 Usable IP range: 172.16.16.1 to 172.16.17.254
Moving on to the subnet for 500 hosts, we've already used 7 bits for the previous subnets (/20 and /23), so we need to borrow 2 more bits to accommodate 500 hosts. This gives us a /22 subnet (18 network bits + 2 subnet bits + 8 host bits).
Here are the details for the subnet with 500 hosts:
Subnet mask: /22 (255.255.252.0) Network ID: 172.16.20.0 Broadcast ID: 172.16.23.255 Usable IP range: 172.16.20.1 to 172.16.23.254
Lastly, for the subnet with 250 hosts, we've already used 9 bits for the previous subnets (/20, /23, and /22), so we need to borrow 1 more bit to accommodate 250 hosts. This gives us a /21 subnet (18 network bits + 1 subnet bit + 9 host bits).
Here are the details for the subnet with 250 hosts:
Subnet mask: /21 (255.255.248.0) Network ID: 172.16.24.0 Broadcast ID: 172.16.31.255 Usable IP range: 172.16.24.1 to 172.16.31.254
Now, let's find the supernet parameters:
The smallest supernet that encompasses all these subnets would have the network address 172.16.0.0/18, as it includes all the individual subnets within it. So, the supernet parameters are:
Supernet mask: /18 (255.255.192.0) Network ID: 172.16.0.0 Broadcast ID: 172.16.63.255 Usable IP range: 172.16.0.1 to 172.16.63.254