All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Zeros And Ones (Posted on 2003-04-08) Difficulty: 2 of 5
What is the smallest integer greater than 0 that can be written entirely with zeros and ones and is evenly divisible by 225?

See The Solution Submitted by Ravi Raja    
Rating: 3.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Idea | Comment 6 of 22 |
(In reply to re: Idea by Lyman Hurd)

First, note that the number is 225, not 255.

But, more to the gist of the question, I think it only fair to the puzzle poser, that the base should be the same as the base of the number posted there. That being 225, it precludes any base lower than 6. Perhaps interesting variations can in fact be found in other bases, but then you should consider the 225 as being written in that base as well. So base 6 might be a good place to start, that is to find the smallest number in base six representable by all zeros and ones that represents a multiple of 225(base 6) or 89(decimal). Surely this is a more interesting problem than merely writing 225 in binary.
  Posted by Charlie on 2003-04-08 09:59:53

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information