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anonymous
 4 years ago
Given that 2.004<log10101<2.005, how many digits are there in the decimal representation of 101101?
Clarification: The decimal representation of 210 is 210=1024, which has 4 digits.
anonymous
 4 years ago
Given that 2.004<log10101<2.005, how many digits are there in the decimal representation of 101101? Clarification: The decimal representation of 210 is 210=1024, which has 4 digits.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.010101 in binary? then 210 shouldn't be binary....

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0( 101101)base2=( 45)decimal binary no always power of 2 therefore 2power 6= 64 hence 6 digit req..

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.1Well, find out \(\log_{10} 101^{101}\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0that is the no. of digits?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0how log can help calculate no. of digits?

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.1Yes, it does. Try it!

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.1You also have to consider the assumptions given in your question.

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.1Actually, you have to find \(1 + \log_{10} 101^{101}\). Don't write in the answer, let me check first.

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.1You can do something else while I check. Thanks :)

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.1And so I was correct :)

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.1Because the number of digits in \(100\) is not \(\log_{10} 100\), but it's \(1+\log_{10}100\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0can it be used for counting digits in any expansion?

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.1Expansion? You mean number base?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0like this type of question
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