Aptitude - Logarithm - Discussion
Discussion Forum : Logarithm - General Questions (Q.No. 11)
11.
If log 2 = 0.30103, the number of digits in 264 is:
Answer: Option
Explanation:
| log (264) | = 64 x log 2 |
| = (64 x 0.30103) | |
| = 19.26592 |
Its characteristic is 19.
Hence, then number of digits in 264 is 20.
Discussion:
59 comments Page 3 of 6.
Rohit Singh said:
1 decade ago
The integral part is known as characteristics or exponent and decimal part is known as mantissa.
Shryea said:
9 years ago
But here the characteristic logic is not matching with the previous one in the formula section.
Sundar said:
1 decade ago
2^64 = 1.84467441 x 10^19
= 0.184467441 x 10^20.
Therefore 20 is the correct answer.
= 0.184467441 x 10^20.
Therefore 20 is the correct answer.
Zexter said:
10 years ago
The concept behind this is still not clear. If anyone knows it please explain it.
Shashi said:
1 decade ago
I m not cleared about characteristic and mantissa concept? can one any tell me.
Sheelu said:
1 decade ago
In this decimal part first decimal is lower than 5, so answer 19 is also right.
B ESWARA RAO(WATSON) said:
1 decade ago
Log(2)^64 = 64log2 = 64(0.30130) = 19.
19+1 = 20. So 2^64 have 20 digits.
19+1 = 20. So 2^64 have 20 digits.
Chaithanya said:
1 decade ago
what is the coorect answer is it 19 or 20? how can you say the answer is 20?
Sowmya said:
9 years ago
Can't able to understand.
How it comes? Please explain in clear solution.
How it comes? Please explain in clear solution.
Dhanaa said:
9 years ago
I could not understand this concept. Please explain more if anybody knows.
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