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Arrange these error control mechanisms by increasing strength:

1. A single parity bit

2. A checksum over the message

3. A cyclic redundancy check

4. A cyclic redundancy check with redundant transmission

Select the correct sequence.

  • A.1, 3, 2, 4
  • B.4, 3, 2, 1
  • C.1, 2, 3, 4
  • D.2, 1, 3, 4

Answer: C

Correct answer: 1, 2, 3, 4

The order is one of increasing detection capability. A single parity bit catches any odd number of errors and no even number at all.

A checksum over the message catches more, since it depends on the values as well as their count, but is still fooled by compensating errors. A cyclic redundancy check is far stronger, detecting all burst errors shorter than its own length. Adding redundant transmission is stronger again, since a fault must corrupt two copies identically to pass. Each step costs bits and computation for the detection it buys.

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