The network using CSMA/CD has a bandwidth of 20 mbps. If the maximum propagation time is 25μ sec (microsecond), what is the minimum size of the frame?

  1. 500 bits
  2. 1000 bits
  3. 1500 bits
  4. 2000 bits

Answer (Detailed Solution Below)

Option 2 : 1000 bits

Detailed Solution

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The correct answer is 2) 1000 bits.


Key Points

  • The network uses CSMA/CD, which stands for Carrier Sense Multiple Access with Collision Detection.
  • To determine the minimum frame size in a CSMA/CD network, we need to ensure that the transmission time is at least twice the maximum propagation delay. This is to detect collisions before the entire frame is transmitted.
  • Given:
    • Bandwidth (B) = 20 Mbps
    • Maximum Propagation Time (T) = 25 μs
  • The minimum frame size (S) can be calculated using the formula: S = 2 * B * T
  • Calculating the minimum frame size:
    • S = 2 * 20 Mbps * 25 μs
    • Converting units: 1 Mbps = 10^6 bits per second and 1 μs = 10^-6 seconds
    • S = 2 * 20 * 10^6 bits/second * 25 * 10^-6 seconds
    • S = 2 * 20 * 25 bits
    • S = 1000 bits
  • However, the actual minimum frame size to avoid collision detection issues is often standardized, and in this case, it is 1000 bits.

Additional Information

  • CSMA/CD is used in Ethernet networks to manage the transmission of data and avoid collisions. The calculation ensures that the round-trip time for a signal to propagate across the network and back is taken into account.
  • Understanding frame size calculations is crucial for network design and ensuring efficient data transmission.

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