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 4 of 6.
Ashish Agarwal said:
1 decade ago
Why not 19?
Shashi said:
1 decade ago
I m not cleared about characteristic and mantissa concept? can one any tell me.
Dhivya said:
1 decade ago
What is it mean for number of digits?
Chaithanya said:
1 decade ago
what is the coorect answer is it 19 or 20? how can you say the answer is 20?
Selvan said:
1 decade ago
Can you tell the diff between the character and mantisa ?
Abc said:
1 decade ago
Can you tell me the difference between characteristics and mantissa?
Nitish said:
1 decade ago
Logarithm of a number consists of the two parts.
1. integral part
2. decimal part.
The integral part is called the characteristic and the decimal part is called mantissa.
1. integral part
2. decimal part.
The integral part is called the characteristic and the decimal part is called mantissa.
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.
Vicky said:
1 decade ago
The logarithm of any number has two components. The characteristic and the mantissa.
Take for example, log103, the value of log103 = 0.4771.
Here, the 0 in the integral part is known as the characteristic and the value .4771 is known as the mantissa.
The value of log1030 is 1.4771.
Notice that the value of mantissa remained the same while that of the characteristic changed from 0 to 1.
Given the log of a number, we will be able to find out the number of digits that the original number had by knowing the value of the characteristic.
If the characteristic is '0', then the number is a single digit number
If the characteristic is '1', then the number is a two-digit number
If the characteristic is '5', then the number is a six-digit number
In the given problem, we need to find the number of digits of 3200.
If we take log we get log103200 = 200(log103) = 200 (0.4771) = 95.42.
Here, the characteristic is 95. Therefore, the number will have 96 digits.
Take for example, log103, the value of log103 = 0.4771.
Here, the 0 in the integral part is known as the characteristic and the value .4771 is known as the mantissa.
The value of log1030 is 1.4771.
Notice that the value of mantissa remained the same while that of the characteristic changed from 0 to 1.
Given the log of a number, we will be able to find out the number of digits that the original number had by knowing the value of the characteristic.
If the characteristic is '0', then the number is a single digit number
If the characteristic is '1', then the number is a two-digit number
If the characteristic is '5', then the number is a six-digit number
In the given problem, we need to find the number of digits of 3200.
If we take log we get log103200 = 200(log103) = 200 (0.4771) = 95.42.
Here, the characteristic is 95. Therefore, the number will have 96 digits.
Neha said:
1 decade ago
Can you tell about characterstic and mantissa concept?
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