15. What is the sum of the base 7 numbers 1234 and 6543 in base 7. A. 11101 B. 11110 C. 10111 D. 11011 Answer: B

• base 10 has digits from 0-9 similarly base 7 has digit has nos 0-6
  when we add 1+9 in base 10 since it can only have 0-9 nos after 9 a cycle is repeated with a carry of 1 to the next digit hence
  1+9= 0 and carry 1 which we keep adding to left side
  hence base 7 has digits 0-6
  1234+6543=7777 in base 10 but in base 7 ,7 cannot come so each time 7 comes cycle 0f 0 1 2 3 4 5 6 is repeated with carry of 1 to left so in base 7
  
  carry 1 1 1 1
  1 2 3 4
  6 5 4 3
  --------------------------
  1 1 1 1 0
• 10 years agoHelpfull: Yes(26) No(0)
• (1234)b7 + (6543)b7 = (466+2334)b10 = (2800)b10 = (11110)b7
• 10 years agoHelpfull: Yes(7) No(0)