Divine NINES
Series teasers are where you try to complete the sequence of a series of letters, numbers or objects.
What are the next two numbers in this series?
9 10 11 12 13 14 21 ? ?
HintBASEd on a local survey, many lady golfers carry Heaven Sevens and Divine NINES in their golf bags.
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Answer
100 and 1001.
The series is the number NINE shown in decreasing Reference Numbers(BASE)i.e. from Base 10 to Base 2.
NINE is 9 in base 10, 10 in base 9, 11 in base 8...21 in base 4, 100 in base 3 and 1001 in base 2.
Hint: BASEd suggests the use of reference numbers and Divine NINES suggests the number nine.
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Comments
Pheonix_down
Apr 10, 2003
 still don't get it.... 
Codammanus
Apr 12, 2003
 Griphook,
In your brain teasers, you have demonstrated a knowledge of a variety of subjects, from horses to the military. You must do an enormous amount of research. (Entertaining to us all nonetheless). Phoenix Down: I also did not understand until I did a little checking up on BASE counting. You might want to check this out:
(Base Numbers General)http://www.ncsu.edu/felderpublic/kenny/papers/bases.html
(Base 2) http://alpha.lansing.cc.mi.us/~wdavis/133/BASE216.HTML
Griphook, I didn't understand the mention of BASEd or the word Divine. Care to expound? 
Codammanus
Apr 12, 2003
 Excuse Me, (My manners were absent from that last comment). I failed to COMMEND you for the effort invested, knowledge gained, and braincells excited. 
griphook
Apr 14, 2003
 My apologies for the late reply Cod. BASED is just a word to stimulate the subconscious that the teaser has something to do with BASE numbers. Divine NINES is to suggest that the teaser calls for unCODing the different ways the number 9 is written in Base Counting. To DIVINE is to unlock or forsee. Btw Divine Nines is the name for Callaway fairway woods or metal for golf in lieu of 9 wood or 9 metal. 
Codammanus
Apr 14, 2003
 My problems w/ the BASEd is that I looked at the Hint explained in the answer, but not the hint itself. (Guilty). As for the rest of the teaser, you skillfully weaved together many parts to form this one. When Griphook is in the game, we expect a win! 
griphook
Apr 14, 2003
 I am enjoying FoodFight right now in Braingle. I joined late but I am having fun. Try it. 
puzzled_puzzler
May 22, 2003
 Tough one.
Just to note that there are only four standard mathematical bases, Base 16, Base 10, Base 8, Base 2. So some people may get mixed up. 
griphook
May 23, 2003
 thanks for the info. computers use binary and hexadecimal(16). 60 is stiil used for time and angles. the Romans used base 5. there are still societies who use 20. But i dnt know about standards. thanks again. 
beanie89
Aug 10, 2003
 Um.....Ooooooook....whatever you say griphook. 
jimbo
Oct 23, 2003
 Excellent teaser. Romans btw did not have a place value system so they weren't strictly a base 5 system although it was built around lots of 5. Mayan indians had a base 5 system. The reason that base 4, base 8 and base 16 are easy to use is that they are all supersets of base 2 (binary) which can be represented by digital equipment (computers). Incidentally, on you 21st birthday, remember that 21 in base 21 is 43 so Douglas Adams (HHGTTG)missed it by one (lol)! 
griphook
Oct 24, 2003
 thanks for the additional info Jimbo.... 
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