Problem $1(2$ points$)$

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A mask representing some IP address is $255\mathrm{.}255\mathrm{.}128\mathrm{.}0.$ Write the mask in

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the binary form: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

the prefix notation: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

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Problem $2(3$ points$)$

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What is the class of the following IP addresses?

$01000011\mathrm{.}10000111\mathrm{.}11001100\mathrm{.}00000011\_\_\_\_\_\_\_\_\_\_\_\_\_$

$135\mathrm{.}80\mathrm{.}42\mathrm{.}0\_\_\_\_\_\_\_\_\_\_\_\_\_$

$240\mathrm{.}135\mathrm{.}204\mathrm{.}3\_\_\_\_\_\_\_\_\_\_\_\_\_$

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Problem $3(5$ points$)$

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The following IP address has been assigned to the University of Louisville by IANA: $136\mathrm{.}165\mathrm{.}0\mathrm{.}0.$ Octets $1$ and $2$ of the address represent the network part. You are to design $300$ subnetworks within this network, with each subnetwork supporting up to $500$ hosts. Can these subnetworks and hosts be designed? If not, which address class A$,$ B$,$ or C would allow for this particular design? You must show your calculations.