Show your calculations!

Problem 1 (2 points)

A mask representing some IP address is 255.255.192.0. Write the mask in

the binary form: _________________________________________________

the prefix notation: _________________________________________________

Problem 2 (3 points)

What is the class of the following IP addresses?

11000011.10000111.11001100.00000011 ______________________

10000110.10000111.11001100.00000011 ______________________

120.10.56.0 (decimal form) ______________________

Problem 3 (5 points)

Your start-up company has been assigned the following IP address by IANA: 155.132.0.0. You are to design 500 subnetworks within this network, with each subnetwork supporting up to 600 hosts. Can these subnetworks and hosts be designed? If not, which address class A, B, or C would allow for this particular design? Show your calculations.

Problem 4

Your company has been assigned the following IP address by IANA: 158.80.0.0. Design a network that consists of 50 subnetworks with each subnetwork having up to 300 hosts.

What address class is it? (2 points) ______________________________________

Express this IP address in the binary form: ______________________________________________

What is the network mask associated with this IP address? Write the mask in the decimal, binary and prefix form. (3 points)

Mask in decimal ___________________________________________________

Mask in binary ___________________________________________________

Mask in prefix form ___________________________________________________

Perform calculations below to check if this network can be designed. Show your calculations. (5 points)

What is the subnetwork mask? Write the subnetwork mask in the decimal, binary and prefix form. (3 points)

Mask in decimal ___________________________________________________

Mask in binary ___________________________________________________

Mask in prefix form ___________________________________________________

For questions (e) through (h) do not follow the Cisco approach with AllZero and AllOnes addresses for subnetworks briefly discussed in class and described at this link http://www.cisco.com/en/US/tech/tk648/tk361/technologies_tech_note09186a0080093f18.shtml,

but rather use the approach covered in the class examples.

Write the address for the 1^st subnetwork as well as the 1 host, 2^nd host, the last host, and the broadcast address for the 1^st subnetwork. Present the addresses in the binary and decimal forms. (5 points)

Write the address for the 2^nd subnetwork as well as the 1 host, 2^nd host, the last host, and the broadcast address for the 2^nd subnetwork. Present the addresses in the binary and decimal forms. (5 points)

Write the address for the last subnetwork as well as the 1 host, 2^nd host, the last host, and the broadcast address for the last subnetwork. Present the addresses in the binary and decimal forms. (5 points)

Use the masking operation (the AND logical operator) to show explicitly that the last host residing on the 2^nd subnetwork indeed belongs to this subnetwork. Show your calculations bit by bit and align bits (2 points).

Problem 5 (5 points)

A signal travels from point A to B in a communication channel. The signal power at points A and B are 10000 and 1000 watts, respectively. Calculate the signal gain/loss in [decibels dB] at point B. Was the signal attenuated or amplified? Show your calculations. (For help, see slide 24 in chapter 14 posted on BB.)

Problem 6 (5 points)

You should know from the slides on chapter 14 covered in the classroom that the speed of data transmission over a communication channel depends on the bandwidth of the channel [expressed in Hz] as well as the power of the signal and noise of the channel [both expressed in Watts]. Shannon proposed a formula that allows one to calculate the maximum data rate [expressed in bps (bits/second)] for an analog signal with noise send over a channel. (For help, see slide 25 in chapter 14 posted on BB.)

S = f log₂ (1+W/N)

where:

S data transfer rate in bps

f signal bandwidth [expressed in Hz]

W signal power [in Watts], and

N noise power [in Watts]

Calculate the data rate (speed of transmission) of the telephone signal of 3.4 KHz bandwidth, 20 watts of power, and 0.02 watts of noise? Show your calculations. (Note that the log function uses base 2.)

You may use Excel function =LOG(x, 2) to calculate log₂(x), where x is an argument and 2 is the base; or you may use your calculator with the LOG₁₀(x) function knowing that log₁₀(x)/log₁₀(2) = log₂(x).