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The ten numerical systems commonly referenced are:

  1. Decimal (Base 10) - Uses digits 0-9.
  2. Binary (Base 2) - Uses digits 0 and 1.
  3. Octal (Base 8) - Uses digits 0-7.
  4. Hexadecimal (Base 16) - Uses digits 0-9 and letters A-F.
  5. Duodecimal (Base 12) - Uses digits 0-11.
  6. Vigesimal (Base 20) - Uses digits 0-19.
  7. Sexagesimal (Base 60) - Used in ancient Mesopotamia, still used for time and angles.
  8. Quinary (Base 5) - Uses digits 0-4.
  9. Ternary (Base 3) - Uses digits 0-2.
  10. Base 36 - Uses digits 0-9 and letters A-Z.

Each system has unique applications in mathematics, computing, and cultural contexts.

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4mo ago

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