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ISRO | ISRO CS 2015 | Question 77

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The decimal number has 64 digits.The number of bits needed for its equivalent binary representation is? (A) 200 (B) 213 (C) 246 (D) 277

Answer: (B)

Explanation: Maximum 64 digit decimal number = 1064 – 1 Maximum x bit binary number = 2x – 1 1064 – 1 = 2x – 1 taking log log 21064 = x x = 64 log 210 x = 64 x 3.3 x = 211.2 (approximately 213) So, correct option is (B)

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Last Updated : 06 Apr, 2018
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