Question $3$: $(2+2+2=6$ Marks$)$ CO$2$

A large university campus is expanding its network to accommodate different departments, offices, and student facilities. The IT department has been assigned the network address $165\mathrm{.}100\mathrm{.}0\mathrm{.}0$ and needs to create $1000$ distinct subnets, with each subnet supporting at least $60$ usable hosts for various devices like computers, printers, and IoT devices.

a$)$ Calculate how the given network address $(165\mathrm{.}100\mathrm{.}0\mathrm{.}0)$ can be divided to

create $1000$ subnets, ensuring that each subnet has at least $60$ usable hosts.

b$)$ For each subnet, specify the subnet mask, the range of IP addresses, and the broadcast address.

c$)$ Clearly explain the steps you took to calculate the subnets, usable hosts,

and how you determined the subnet mask for this network design.

$165\mathrm{.}100\mathrm{.}0\mathrm{.}0$