A multiplexer combines four 100-kbps channels using a time slot of 2 bits. Show the output with four arbitrary inputs. What is the frame rate? What is the frame duration? What is the bit rate? What is the bit duration?

1. The output with four arbitrary inputs:

Let's assume the four inputs are as follows: Input 1: 00 Input 2: 01 Input 3: 10 Input 4: 11

The multiplexer will combine these inputs into a single output by allocating each input to a specific time slot. The output will look like this: 00011011

2. Frame rate:

The frame rate is the number of frames transmitted per second. In this case, each frame consists of 2 bits from each of the four 100-kbps channels, so each frame is 8 bits long. The channels are 100-kbps, so they transmit 100,000 bits per second. Therefore, the frame rate is 100,000 bits per second divided by 8 bits per frame, which equals 12,500 frames per second.

3. Frame duration:

The frame duration is the inverse of the frame rate. It represents the amount of time one frame takes to transmit. So, the frame duration is 1/12,500 = 0.00008 seconds, or 80 microseconds.

4. Bit rate:

The bit rate is the number of bits transmitted per second. Since the multiplexer is combining four 100-kbps channels, the total bit rate is 4 * 100,000 bits per second = 400,000 bits per second, or 400 kbps.

5. Bit duration:

The bit duration is the inverse of the bit rate. It represents the amount of time one bit takes to transmit. So, the bit duration is 1/400,000 = 0.0000025 seconds, or 2.5 microseconds.