Compute 25_6 + 54_6 + 512_6 + 401_6 in base 6.

Answer 1

First, add the numbers together in base 10:
25_6 + 54_6 + 512_6 + 401_6
= (2*6^1 + 5*6^0) + (5*6^1 + 4*6^0) + (5*6^2 + 1*6^1 + 2*6^0) + (4*6^2 + 0*6^1 + 1*6^0)
= (12 + 5) + (30 + 4) + (180 + 6 + 2) + (144 + 0 + 1)
= 17 + 34 + 188 + 145
= 384

Convert 384 into base 6:
384 = 4*6^3 + 1*6^2 + 5*6^1 + 0*6^0
= 4150_6

Therefore, 25_6 + 54_6 + 512_6 + 401_6 = 4150_6.