the number of digits in 2^64 is

• ans is 20
  for 2^0,2^1,2^2,2^3=single digit
  for 2^4,2^5,2^6=double digit
  for 2^7,2^8,2^9=triple digit
  in the same way for 2^59=18 digits
  for 2^60=19 digits
  for 2^61 also=19 digits
  for 2^62 also =19 digits
  for 2^63 also =19 digits
  for 2^64=20 digits
• 10 years agoHelpfull: Yes(1) No(0)
• the power of the series of 2 with the number of digits goes in the order
  433 433 433......
  i.e, one digit no. powers are 0,1,2,3 total 4.
  from 2^0 to 2^3, 1 to 8 single digit
  two digit no. powers are 4,5,6 total of 3
  from 2^4 to 2^6 , 16 to 64 two digit number
  and the same process continues
  
  4,3,3, 4,3,3, 4,3,3, .......
  using the above sequence we can write
  power upto (4)-1 = 1 digit no.
  upto power (4+3) -1 = 2 digit no.
  upto power (7+3) -1 = 3 digit no.
  
  upto power (10+4)-1 = 4 digit no.
  upto power (14+3)-1 = 5 digit no.
  upto power (17+3)-1 = 6 digit no.
  
  and so on
  
  we can see a sequence
  in the power group of 10, (4+3+3) there are 3 digit changes
  
  so 64 = 60 +4
  for 10 => 3 digits
  60 = > 3*6 = 18 digits
  and the last 4 will contribute one more digit
  
  so, the total number of digits will be 18+1=19
  
• 10 years agoHelpfull: Yes(0) No(0)