How many subnets we can generate using the proposed prefix


Problem

You work for a company whose main network IP is (10.0.0.0/8). create an addressing schema that creates equal host address space and ensures the least IP address wastage in each network. If you know that you have five departments, each department has 15, 32, 123, 312, and 128 hosts, respectively. Answer the following:

1) What is the proposed prefix you may use? Why?
2) What would be the subnet mask in the decimal representation?
3) How many bits are allocated for (network, subnet (if any), hosts)
4) How many subnets we can generate using the proposed prefix?
5) What is each department's network address, broadcast address, 1st, and last IP address?
6) What is the size of the hosts' space of the third department's network?

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Computer Networking: How many subnets we can generate using the proposed prefix
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