Latest TCS Aptitude Question SOLUTION: In a base 7, a number is written using 0,1...6. The number 1 in base 7 is equal to 2*7+1=15 in base 10. Similarly, the number 135 on base 7 is 1*72+3*7+5=75 in base 10. What is th

• Placement Papers
• /
• TCS

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40020941) TCS question Keep an EYE

In a base 7, a number is written using 0,1...6. The number 1 in base 7 is equal to 2*7+1=15 in base 10. Similarly, the number 135 on base 7 is 1*72+3*7+5=75 in base 10. What is the sum of the base 7 number 1234 and 6543 in base 7.

Asked In TCS Priyanka Choudhary (10 years ago)

Unsolved Read Solution (5)

Is this Puzzle helpful?   (4)   (1) Submit Your Solution

Read Solution (5) :

srimanti kar  (10 years ago)

convert 1234 and 6543 in base 10 format
(1234)base 7=466 base 10
(6543)base 7=2334 base 10
add these two number..it will be 2800 base 10
then cnvert 2800 base 10 to base 7..and that will be 11110

Is this solution Helpfull? Yes (16) | No (1)  

srinivas  (10 years ago)

this is similar to binary to decimal and decimal to binary conversions.
ie for ex here 135= the zeroth digit -> 5*(7^0)+ tenth digit-> 3*(7^1)+100th digit ->1*(7^2)=75.
so 1234 would give 1*(7^3)+2*(7^2)+3*(7^1)+4*7^0=343+98+21+4=466
and similarly for 6543=2334
addin them together ,2800
nw convert this again to base of 7, like decimal to binary..divide 2800 contentiously by 7 and write the reminders( top to bottom) in left to right manner 2800%7=0(400-quotient) ,400%7=1(q-57),57%7=(q-8)1,8%7=1(q is 1),so our answer is 11110.

Is this solution Helpfull? Yes (4) | No   

Manuj Vishnoi  (10 years ago)

1234
+ 6543
=11110
when we add6 and 4 in decimal we get 0 and carry 1 similarly when we add 4 and 3 we get o carry 1now when we add 3 nd 4 nd 1 we get 1 and carry 1so itcan directly added in this way

Is this solution Helpfull? Yes (2) | No   

ranjit mangaraj  (10 years ago)

plz xpln n brfly

Is this solution Helpfull? Yes (1) | No (1)  

Kundan Kumar  (10 years ago)

Firstly, Change all the numbers i.e. 1234 and 6543 in decimal form.
for 1234--466 in decimal
for 6543 --2334 in decimal form
after adding 466 and 2334 we get, 2800..(in decimal form)
Now convert this number in base 7 by just dividing ...
ans is 11110

Is this solution Helpfull? Yes (1) | No   

Please Login to Read Solution.