How many different BCD numbers can be stored in 12 switches? (Assume two…

2014

How many different BCD numbers can be stored in 12 switches? (Assume two position or on-off switches)

  1. A.

    212

  2. B.

    212-1

  3. C.

    1012

  4. D.

    103

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Correct answer: D

Each switch represents 1 bit, so 12 switches provide 12 bits. BCD uses 4 bits per decimal digit, allowing storage of 3 digits (12 ÷ 4 = 3). Each decimal digit has 10 possible values (0-9), resulting in 10^3 different BCD numbers.

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