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The radix of a number system

  • A.Is variable
  • B.Has nothing to do with digit position value
  • C.Equals the number of its distinct counting digits
  • D.Is always an even number
  • E.None of the above

Answer: C

Correct answer: Equals the number of its distinct counting digits

The radix, or base, of a number system is the count of distinct digits it uses: decimal has ten (0–9) so its radix is 10, binary has two so its radix is 2, hexadecimal sixteen. The radix also fixes each place value, since the \( n \)-th place is worth \( r^n \) - so it is fixed for a given system and need not be even.

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