# Data Communications

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COMP2330 Data Communications and Networking
Written Assignment 1

Sample Solutions
1. Which of the OSI layers handles each of the following: (a) Dividing the transmitted bit stream into frames. (b) Determining which route through the subnet to use. (10 marks)
Ans:
(b) Network Layer
2. An image is 1024x768 pixels with 3 bytes/pixel. Assume the image is uncompressed. How long does it take to transmit it over a 56-kbps modem channel? Over a 1-Mbps cable modem? Over a 10-Mbps Ethernet? Over 100-Mbps Ethernet? (10 marks)
Ans:
The size of the image is 1024 x 768 x 3 x 8 = 18874368 bits.
For a 56-kbps modem, it takes 18874368/56000 337 seconds.
For a 1-Mbps cable modem, it takes 18864368/106 18.9 seconds.
For a 10-Mbps Ethernet, it takes around 1.89 seconds.
For a 100-Mbps Ethernet, it takes around 0.19 seconds.
3. A digital signaling system is required to operate at 9600bps. (10 marks)
(a) If a signal element encodes a 4-bit word, what is the minimum required bandwidth of the channel if we assume a noise free system?
(b) Repeat part (a) for the case of 8-bit words.

Ans:
Because we assume noise free, we can use Nyquist’s equation: C = 2B log2M. We have C = 9600 bps (a) log2M = 4, because a signal element encodes a 4-bit word. (So, actually M=16). Therefore, C = 9600 = 2B  4, and we have B = 1200 Hz (b) 9600 = 2B  8, and so B = 600 Hz

4. The following waveform belongs to a Manchester encoded binary data stream. Determine the beginning and end of bit periods (i.e., extract clock information) and give the data sequence. (10 marks) Ans:
With Manchester, there is always a transition in the middle of a...

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