Multiple choice

A decimal number has 25 digits. The number of bits needed for its equivalent binary representation is approx. _____.

  1. 50

  2. 60

  3. 75

  4. 80

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The number of bits N required to represent a decimal number D is approximately log2(10^D) = D * log2(10). Since log2(10) is approximately 3.32, 25 * 3.32 = 83. The closest option provided is 75.