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A DFA has 6 states and an input alphabet of 26 characters. How many entries does the uncompressed transition table contain?

  • A.26
  • B.156
  • C.32
  • D.156.0 megabytes

Answer: B

Correct answer: 156

The uncompressed table has one entry for each combination of state and input character: \[ 6 \times 26 = 156. \] The product form is why table compression matters in practice: a realistic scanner has hundreds of states over an alphabet of 128 or 256 characters, and character classes are used precisely to keep that product manageable.

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