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1. A synchronous TDM combines 10 digital sources where each has data rate of 500-kbps. Each output slot carries 4 bits from each digital source, but one extra bit is added to each frame for synchronization. Determine the frame size and output data rate of this TDM. (10 points)

2. Assume synchronous time division multiplexer with three inputs – channel 1, channel 2, and channel 3. The output of this multiplexer produces synchronous 18-bit frames that are provisioned for stuffing as shown in the figure. The stuffing process can occur with each frame. The output link of this multiplexer operates at 36 Mbps. Determine the upper and lower bound of data rate at each input channel. (10 points)

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3. Find the random numbers generating by x3 + x2 + x + 1 using Viterbi algorithm. Is it primitive? (5 points)

4. Assume that the BER is 10-6.

(a) Determine the probability that the 1000-bit frame would be received without an error. (5 points)

(b) Assuming that the Stop-and-wait flow-control is implemented in data-link layer communication, determine the probability that the sender transmits 3 of same frames to receive a positive acknowledgement. Assume that no packet loss occurs during these transmissions. (5 points)

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