Reference no: EM133662922

Question 1

The modulo operation finds the remainder. If dividing a by b, and there was a remainder of n, then the formula can be expressed as: a mod b = n.

Describe the 7-digit of your student ID using an array S(i), while i = 0, 1, 2, ..., 6.

Run mod 2 operation to get the reminder corresponding to each digit of S(i).

Represent the 7-bit output as D = D₆ D₅ D₄ D₃ D₂ D₁ D₀

Give the corresponding decimal number of D and explain the effect of D₆ (leftmost bit) and D₀ (rightmost bit) while converting the binary D into a decimal number.

Draw a flowchart to show the conversion from S(i) to D = [D₆, D₅, D₄, D₃, D₂, D₁, D₀].

Question 2

Create the even parity Hamming Code based on D = [D₆, ..., D₀]. Show the detailed calculation about how you get the even parity bits r₈, r₄, r₂, and r₁, then fill in following Table.

D₆ D₅ D₄ r₈ D₃ D₂ D₁ r₄ D₀ r₂ r₁

Suppose at the receiving end, there is an error in position 11: D₆ (the opposite binary, e.g., D₆ is "0" in the Table, then the received bit D₆ is "1" in error). Other bits are correct. What is the codeword received at the receiving end?

Based on Hamming simulator, write a user manual (maximum 6-step) on how to identify the error in position 11. (May reference to the file in Readings/week 3/Canvas for writing a user manual).

Question 3

Video conferencing provides service for capturing audio/video and transferring digital packets over the Internet. Figure 1 shows 5 identical networked PCs, each has 99.9% availability. A5 is used as a load-balancer to distribute the incoming video conferencing traffic across backend servers A1 -- A4 for further processing. Answer the following questions with maximum 600 words.

How the quantization error level affects the quality of digital audio/video, e.g., fidelity of transmitted video streams. Provide a step-by-step explanation to compare the quality using 3 bit-depth and 8 bit-depth per sampling.

Provide a strategy for improving the availability of the system. What would be the potential consequence of your strategy. Provide a step-by-step explanation and detailed calculation to support your argument.

While both Windows and macOS can be used for applications such as video conferencing, list 3-4 points to show how they are different

Figure 1 Web server set-up for distributing incoming packets.