The citizens of planet oz are 4 fingered and have thus developed their decimal system in base 4. A certain street in oz contains buildings numbered 1 to 100. How many 1s are used in numbering these buildings?

• Base 4 system means only digits 0,1,2,3 are used for number system.
  Then possible nos having 1 are
  001,010,011,012,013, 021,031,100
  in which 9 ( Nine ) times digit 1 is used.
• 12 years agoHelpfull: Yes(10) No(6)
• system in base 4 so only 0,1,2,3 are used.
  first start with 000,001,002,003,010,011,012,013,020,021,022,023.....and so on upto 100.
  so 1 comes are
  001,010,011,012,013,021,031,100
  so total 9 1's are come
  note: in 011 there are two one don't forget it.
• 12 years agoHelpfull: Yes(8) No(1)
• Nos including 1 are
  001,010,011,012,013, 021,031,100
  
  so Nine (9) 1s are used.
• 12 years agoHelpfull: Yes(6) No(3)
• nos are. : 000,001,002,003,010,011,012,013,020,021,022,023,030,031,032,033,100
  no of 1's: 9
  but it is base 4 so 9=020
  ans in base 10 is:2*4^1+0*4^0=8
  ans=8
  
  
• 11 years agoHelpfull: Yes(2) No(6)
• explain in detail ...dipin
• 12 years agoHelpfull: Yes(0) No(3)
• no of 1's :
  001,010,011,100,110,012,021,013,031
  so 9 (1s) are included .
• 9 years agoHelpfull: Yes(0) No(0)