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1- We need to use synchronous TDM and combine 20 digital sources, each of 100 kbps. Each output slot carries 2 bits from each digital source, but one extra bit is added to each frame for synchronization. Assume that the output bit rate is the sum of the input link rates.

Find the following:

a. Size of an output frame in bits.
b. Output frame rate.
c. Duration of an output frame.
d. Output byte rate.
e. Efficiency of the system (ratio of useful bits to the total bits).

2- Two channels, one with a bit rate of 100 kbps and another with a bit rate of 200 kbps, are to be multiplexed. Assume that each output slot carries 2 bits from each digital source. Answer the following questions about the final stage of the multiplexing:

a. How this can be achieved?
b. What is the frame rate?
c. What is the frame duration?
d. What is the bit rate of the output link?

3- We have 14 sources, each creating 500 characters per second. Since only some of the sesources are active at any moment, we use statistical TDM to combine these sources using character interleaving. Each frame carries 6 slots at a time, but we need to add 4-bit addresses to each slot. Assume that the output bit rate is 24 kbps. Answer the following questions:

a. What is the size of an output frame in bits?
b. What is the output frame rate?
c. What is the duration of an output frame?
d. What is the efficiency of the system?

4- Ten sources, six with a bit rate of 200 kbps and four with a bit rate of 400 kbps, are to be combined using multilevel TDM. Each output slot carries 1 byte from each digital source with no synchronizing bits. Answer the following questions about the final stage of the multiplexing:

a. How this can be achieved?
b. What is the size of a frame in bits?
c. What is the output frame rate?
d. What is the duration of a frame?
e. What is the output data rate?

5- Four channels, two with a bit rate of 100 kbps, one with a bit rate of 90 kbps and another with a bit rate of 200 kbps, are to be multiplexed using TDM. If 4 bits at a time is multiplexed with no synchronization bits. Answer the following questions about the final stage of the multiplexing:

a. How this can be achieved?
b. What is the size of a frame in bits?
c. What is the frame rate?
d. What is the duration of a frame?
e. What is the output unit rate?
f. What is the output unit duration?

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