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

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