If 3245 base six =X base nine find X

Answer 1

To convert a number from base six to base nine, we need to first convert it to base ten, and then convert it to base nine.

Given that 3245 is a number in base six, we can convert it to base ten by multiplying each digit by the corresponding power of six and summing the results:

3*6^3 + 2*6^2 + 4*6^1 + 5*6^0 = 648 + 72 + 24 + 5 = 749

Now, we need to convert 749 from base ten to base nine.

To do that, we divide 749 by 9 and keep track of the remainders until we reach 0.

749 ÷ 9 = 83 remainder 2
83 ÷ 9 = 9 remainder 2
9 ÷ 9 = 1 remainder 0
1 ÷ 9 = 0 remainder 1

Reading the remainders from bottom to top, we have 1022 in base nine.

Therefore, 3245 base six = 1022 base nine.