The decimal number has 64 digits.The number of bits needed for its equivalent…

2015

The decimal number has 64 digits.The number of bits needed for its equivalent binary representation is?

  1. A.

    200

  2. B.

    213

  3. C.

    246

  4. D.

    277

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Correct answer: B

To determine the number of bits required for a decimal number with 64 digits, multiply the digit count by log base 2 of 10 (approximately 3.3219). Calculation: 64 × 3.3219 ≈ 212.6. Since bits must be integers, round up to the nearest whole number, which is 213.

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