Consider the router and the three attached subnets are $($A with number of hosts $=246,$ B with number of hosts $=58,$ and C with number of hosts $=24).$ The subnets share the $23$ high$-$order bits of the address space: $160\mathrm{.}215\mathrm{.}74\mathrm{.}0/23.$

Assign subnet addresses to each of the subnets $($A$,$ B$,$ and C$)$ so that the amount of address space assigned is minimal, and at the same time leaving the largest possible contiguous address space available for assignment if a new subnet were to be added. Then answer the following questions:

a$.$ What is the difference between public and private addresses on the Internet? What is their purpose of use $($benefit$)?$

b$.$ Is the provided address space public or private?

c$.$ How many addresses are in the given address space?

d$.$ What is the subnet address of subnet A$?($use CIDR notation$)$

e$.$ What is the broadcast address of subnet A$?$ What is the use of this address?

f$.$ What is the subnet address of subnet B$?($use CIDR notation$)$

g$.$ What is the first host address in subnet B$?$

h$.$ What is the subnet address of subnet C$?($use CIDR notation$)$

i$.$ What is the last host address of subnet C$?$