A device is part of a network with an IP address of $222\mathrm{.}222\mathrm{.}222\mathrm{.}0$ and a subnet mask of $255\mathrm{.}255\mathrm{.}255\mathrm{.}224.$

a$.$ Based on the above network address, what would be the value of the default subnet mask?

b$.$ What is the number of possible subnets of the network above?

c$.$ What is the network address of each subnet?

d$.$ If this device is assigned with the IP address $222\mathrm{.}222\mathrm{.}222\mathrm{.}146,$ what is its broadcast address?

e$.$ Schematically represent a physical topology that allows communication between subnets.