Compute 35A8_{11} * 2751_{11} * A04_{11}. Give your answer as a base 11 integer.

Answer 1

To compute this, we first convert the numbers to base 10:
35A8_{11} = 3*11^3 + 5*11^2 + 10*11^1 + 8*11^0 = 4840_{10}
2751_{11} = 2*11^3 + 7*11^2 + 5*11^1 + 1*11^0 = 2200_{10}
A04_{11} = 10*11^2 + 0*11^1 + 4*11^0 = 1214_{10}

Now, compute the product in base 10:

4840 * 2200 * 1214 = 1,291,580,800

Convert the result back to base 11:

1,291,580,800 = 7*11^7 + 1*11^6 + 1*11^5 + 10*11^4 + 6*11^3 + 5*11^2 + 3*11^1 + 8*11^0

Therefore, the final answer is 7110A6538_{11}.