in base 7,number is written only using digit0,1,...6.a number 135in base 7 is 1*7^2+3*7+5=75in base10.what is sum of base7 numbers1234&6543in base 7?(A)11101(B)11110(C)10111(D)11011

• Ans.B 11110
  1234+6543=11110
  At unit place 4+3 sum is 0 and carry is 1
  at tens place 1+4+3 sum is 1 and carry is 1
  at hundreds place 1+5+2 sum is 1 and carry is 1
  at thousand place 1+1+6 sum is 1 and carry is 1
  hence result will be 11110
• 12 years agoHelpfull: Yes(13) No(0)
• base 10(2800) ---> base 7(11110)
  
  Explaination for conversion from bas10 to base 7
  
  just divide the value by 7 and get its remainders
  
  2800 / 7 = 400 --> 0
  400 / 7 = 57 --> 1
  57 / 7 = 8 --> 1
  8 / 7 = 1 --> 1
  1 / 7 = 0 --> 1
  so now write remainders from down to top so value is 11110
  
  base 10(2800) ---> base 7(11110)
• 12 years agoHelpfull: Yes(8) No(0)
• Ans : b) 11110
  
  Explanation:
  convert the number from base 7 to base 10
  base 7(1234) = base 10(466)
  base 7(6543) = base 10(2334)
  Sum of 466 + 2334 = 2800
  convert to base 7
  base 10 (2800) ===> 11110
  
  
• 12 years agoHelpfull: Yes(5) No(0)
• Ans. 11110
  
  As
  Carry 1111
  1234
  +6543
  -----
  11110
  -----
  
  As In base 7, 7=10 So 6+1=10, 5+2=10, 4+3=10 & 3+4=10.
• 12 years agoHelpfull: Yes(2) No(0)
• @ismail how ur coverting 2800 into base 7 last step i didnt understand..kindly explain.....thanks in advance
• 12 years agoHelpfull: Yes(0) No(0)