A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 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.
 2 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.

This Question is Open

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

jishan
 2 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..

shubham.bagrecha
 one year ago
Best ResponseYou've already chosen the best response.0it is 101^101

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

shubham.bagrecha
 one year ago
Best ResponseYou've already chosen the best response.0that is the no. of digits?

shubham.bagrecha
 one year ago
Best ResponseYou've already chosen the best response.0how log can help calculate no. of digits?

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

shubham.bagrecha
 one year ago
Best ResponseYou've already chosen the best response.0202 is incorrect

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

shubham.bagrecha
 one year ago
Best ResponseYou've already chosen the best response.0what else is given?

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

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

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

shubham.bagrecha
 one year ago
Best ResponseYou've already chosen the best response.0can it be used for counting digits in any expansion?

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

shubham.bagrecha
 one year ago
Best ResponseYou've already chosen the best response.0like this type of question
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.