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The binary system uses powers of

  • A.2
  • B.10
  • C.16
  • D.8
  • E.None of the above

Answer: A

Correct answer: 2

The binary system has two digits, 0 and 1, so its base - its radix - is 2, and each place is worth twice the one to its right: \( 1011_2 = 1\times2^3 + 0\times2^2 + 1\times2^1 + 1\times2^0 = 11 \). Base 8 is octal, base 10 decimal and base 16 hexadecimal.

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