If log 2 = 0.30103, the number of digits in 264 is:
A. 18
B. 19
C. 20
D. 21
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & \log \left( {{2^{64}}} \right) \cr & = 64 \times \log 2 \cr & = \left( {64 \times 0.30103} \right) \cr & = 19.26592 \cr} $$Its characteristic is 19.
Hence, then number of digits in 264 is 20.
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If characteristic is 19 then number of digits will be 20 why