Question $8$: Consider a home network of $3$ computers connected to the Internet via a NAT router.$$ Suppose the ISP assigns the router the address $23\mathrm{.}34\mathrm{.}112\mathrm{.}235$ and that the network address of the$$ home network is $192\mathrm{.}168\mathrm{.}1/29.$

$($a$)$ Assign addresses to all interfaces in the home network starting with the lowest possible$$ address.$$

$($b$)$ What is the subnet mask for the home computers?$$

$($c$)$ Suppose each host has two ongoing TCP connections, all to port $80$ at host $128\mathrm{.}119\mathrm{.}40\mathrm{.}86.$ Provide the six corresponding entries in the NAT translation table. Both NAT and computers$$ use source ports starting at $3000.$