in base 7, a number is written only using digits 0,1,2,3,4,5,6. the number 135 in base 7 is 1*72+3*7+5=75 in base 10. what is the sum of the base 7 numbers 1234 & 6543 in base 7?
a)11101
b)11110
c)10111
d)11011

• 1234+6543 will be done as:
  
  4+3=7 since base is 7 so it will become 0 giving 1 carry to next digits(so 4+7=0)
  3+4 + 1 carry from above step= 1 and 1 carry to next digit
  2+5 + 1 carry to next digit= 1 and 1 carry
  1+6= 11
  
  so ans=11110
• 9 years agoHelpfull: Yes(26) No(1)
• 1234
  +6543
  -----------
  7777
  (MSB) (LSB)
  7 is written as 10 in base 7
  so 7777 is written as
  
  1)the LSB 7 is divided in to sum=0 and carry=1
  so LSB place of the answer is 0.
  2)the carry 1 is added in second last 7 (10+1=11)
  and it is divided into sum=1 and carry=1
  so second last bit of answer is 1
  3)the carry 1 is again added in third last 7 (10+1=11)
  and it is divided into sum=1 and carry=1
  so third last bit of answer is 1
  4)the carry 1 is added in 4th last 7 (10+1=11)
  and it is divided into sum=1 and carry=1
  so 4th last bit of answer is 1
  5)5th new bit is added in answer as carry 1
  
  so the answer is 11110
  
  
• 9 years agoHelpfull: Yes(3) No(1)
• In count in base 7 is:
  0,1,2,3,4,5,6,10,11,12,13,14,16,20.....
  so addition of above 2 numbers will be 11101
• 9 years agoHelpfull: Yes(2) No(1)
• answer is B
• 9 years agoHelpfull: Yes(2) No(1)
• +1 +1 +1 +1
  1 2 3 4
  6 5 4 3
  ________________
  1 1 1 1 0
• 9 years agoHelpfull: Yes(2) No(0)
• b)11110
  In base 7 there won't be no. 7. So we write 7 as 10,8 as 11 and so on.
  1)First we add 4+3=7(7 means 10 so carry is 1)
  2)3+4+1=8(8 means 11 so carry is 1)
  3)2+5+1=8(8 means 11 so carry is 1)
  4)1+6+1=8(8 means 11 so carry is 1)
  So, 1234+6543=11110
• 9 years agoHelpfull: Yes(2) No(0)
• my bad answer is B
  I added 1234 & 6534.
• 9 years agoHelpfull: Yes(1) No(1)
• 1234+6543 = 11110
  as sum of 3 and 4=7 which is an invalid number in case of base 7 numbers sum of 3 and 4 will be equal to 0 with carry 1, perform the later addition using this analogy and u will have the result
• 9 years agoHelpfull: Yes(1) No(0)
• 1234
  +6543
  11110
  we can simply add and when value become greater than 6 we take carry.
  
• 9 years agoHelpfull: Yes(1) No(0)
• first add right most digits that are 4 and 3 gives 10 in base7 system.the result has 0 in its units place, now auxilary carry (1) is added with 10's digits(3+4+1)=11 in base7 system. so,the result has 10 in its right most two digits.so the answer is (B);.........BY MAHESH AND RAVI MVGR COLLEGE OF ENGG;
  
• 9 years agoHelpfull: Yes(0) No(1)
• 1234+6543=11110, we get 7 on adding 4&3.7=10 here
  
  
• 9 years agoHelpfull: Yes(0) No(0)
• b>11110 will be the soln.
• 9 years agoHelpfull: Yes(0) No(0)