Four 1-kbps connections are multiplexed together. A unit is 1 bit. Find (1) the duration of 1 bit before multiplexing, (2) the transmission rate of the link, (3) the duration of a time slot, and (4) the duration of a frame.
Question
Four 1-kbps connections are multiplexed together. A unit is 1 bit. Find (1) the duration of 1 bit before multiplexing, (2) the transmission rate of the link, (3) the duration of a time slot, and (4) the duration of a frame.
Solution
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The duration of 1 bit before multiplexing: Since the rate of each connection is 1 kbps (kilobits per second), the time to send 1 bit is the inverse of this, or 1/1000 seconds = 1 millisecond.
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The transmission rate of the link: Since four 1-kbps connections are multiplexed together, the total transmission rate is 4 * 1 kbps = 4 kbps.
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The duration of a time slot: Each time slot must be able to carry 1 bit from each connection. Since the transmission rate of the link is 4 kbps, the time to send 1 bit (which is the duration of a time slot) is 1/4000 seconds = 0.25 milliseconds.
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The duration of a frame: A frame consists of one time slot from each of the four connections, so the duration of a frame is 4 * the duration of a time slot = 4 * 0.25 milliseconds = 1 millisecond.
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