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ISRO | ISRO CS 2015 | Question 77

Last Updated : 06 Apr, 2018
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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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