Que asked on Elitmus,19th july,Bangalore

Calculate the number of zeros in square of ((4404 with base 17)) . ..?

• (4404 at base 17)*(4404 at base 17)=(10G0GF0G at base 17)
  So, the number of zeros will be 3.
• 8 years agoHelpfull: Yes(5) No(0)
• 4 4 0 4 base 17
  * 4 4 0 4 base 17
  ____________________________
  16 16 0 16
  0 0 0 0 *
  16 16 0 16 * *
  16 16 0 16 * * *
  __________________________________________
  10 G(16) 0 G(16) F(15) 0 G(16)
  ____________________________________________
  
  Ans : 10G0GF0G So there are 3 zeroes
• 8 years agoHelpfull: Yes(4) No(0)
• (4404)base 17 = 20812
  20812 square is 433139344
  
• 8 years agoHelpfull: Yes(3) No(1)
• In base N total digits allowed are n-1 so for base 17 0-16 i.e.0-G
  Base 10 Base 17
  0 0
  1 1
  2 2
  3 3
  4 4
  5 5
  6 6
  7 7
  8 8
  9 9
  10 A
  11 B
  12 C
  13 D
  14 E
  15 F
  16 G
  17 10
  18 11
  19 12
  20 13
  21 14
  Like this
  32 1g
  33 20
  34 21
  
  4 4 0 4
  *4 4 0 4
  ------------------------------------------------------
  16(g) 16(g) 0(0) 16(g)
  0(0) 0(0) 0(0) 0(0) +
  16(g) 16 0(0) 16(g) + +
  16(g) 16(g) 0(0) 16(g) + + +
  --------------------------------------------------------------
  18(11) 33(20) 18(11) 33(20) 32(1g) 0(0) 16(g)
  
  
  So total no of zeros are Three
  
• 8 years agoHelpfull: Yes(3) No(2)
• only one 0 will be in answer
  
• 8 years agoHelpfull: Yes(2) No(3)
• 4404
  * 4404
  -------------
  16 16 0 16 | G G 0 G
  0 0 0 0 | 0 0 0 0
  16 16 0 16 | G G 0 G
  16 16 0 16 | G G 0 G
  -----------------------------------------------------------------------------------
  17 14 17 15 14 0 G |H E H F E 0 G
  
  So, Answer Is 1 0's.
• 8 years agoHelpfull: Yes(0) No(0)
• Ahmed please explain properly how 32 become 1G insteadif 1F
  
• 8 years agoHelpfull: Yes(0) No(0)
• There will be no zeroes in the result.
• 8 years agoHelpfull: Yes(0) No(1)