Compute 35A811 - 275111 + A0411 - 1830111 + 711 . Give your answer as a base 11 integer.

Question

(You do not need to include the subscript to indicate the base.)

Answer 1

35A811 - 275111 + A0411 - 1830111 + 711

= 3*11^5 + 5*11^4 + 10*11^3 + 8*11^2 + 1*11^1 + 1*11^0
- 2*11^5 + 7*11^4 + 5*11^3 + 1*11^2 + 1*11^1 + 1*11^0
+ 10*11^3 + 4*11^2 + 1*11^1 + 1*11^0
- 1*11^6 + 8*11^4 + 3*11^3 + 1*11^2 + 1*11^1 + 1*11^0
+ 7*11^2 + 1*11^1 + 1*11^0

= 3*11^5 + 5*11^4 + 10*11^3 + 8*11^2 + 1*11^1 + 1*11^0
- 2*11^5 + 7*11^4 + 5*11^3 + 1*11^2 + 1*11^1 + 1*11^0
+ 10*11^3 + 4*11^2 + 1*11^1 + 1*11^0
- 11^5 - 8*11^4 - 3*11^3 - 11^2 - 11^1 - 11^0
+ 7*11^2 + 1*11^1 + 1*11^0

= 11^5 + 3*11^4 + 2*11^3 + 13*11^2 + 3*11^1 + 4*11^0
- 11^5 + 7*11^4 + 5*11^3 + 1*11^2 + 1*11^1 + 1*11^0
+ 10*11^3 + 4*11^2 + 1*11^1 + 1*11^0
- 11^5 - 8*11^4 - 3*11^3 - 11^2 - 11^1 - 11^0
+ 7*11^2 + 1*11^1 + 1*11^0

= 3*11^4 + 4*11^3 + 13*11^2 + 3*11^1 + 4*11^0
+ 7*11^4 + 1*11^3 + 1*11^2 + 1*11^1 + 1*11^0
+ 10*11^3 + 4*11^2 + 1*11^1 + 1*11^0
- 8*11^4 - 2*11^3 - 11^2 - 11^1 - 11^0
+ 7*11^2 + 1*11^1 + 1*11^0

= 10*11^4 + 5*11^3 + 12*11^2 + 5*11^1 + 5*11^0

Therefore, 35A811 - 275111 + A0411 - 1830111 + 711 = 10*11^4 + 5*11^3 + 12*11^2 + 5*11^1 + 5*11^0
= 10 5 12 5 5