Latest TCS Aptitude Question SOLUTION: 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

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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

Asked In TCS Bishal Pandey (10 years ago)

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karan sharma  (10 years ago)

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

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Shashank Salaj  (10 years ago)

(1234)b7 + (6543)b7 = (466+2334)b10 = (2800)b10 = (11110)b7

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