To compute 256 * 546 in base 6, we need to convert the numbers to base 10 first, perform the multiplication, and then convert the result back to base 6.
Converting 256 to base 10:
2*(6^2) + 5*(6^1) + 6*(6^0) = 2*(36) + 5*(6) + 6 = 72 + 30 + 6 = 108
Converting 546 to base 10:
5*(6^2) + 4*(6^1) + 6*(6^0) = 5*(36) + 4*(6) + 6 = 180 + 24 + 6 = 210
Multiplying 108 * 210 = 22680
Converting 22680 to base 6:
22680 = 5*(6^5) + 4*(6^4) + 2*(6^3) + 5*(6^2) + 0*(6^1) + 0*(6^0) = 5*(7776) + 4*(1296) + 2*(216) + 5*(36) = 38880 + 5184 + 432 + 180 = 44676
Therefore, 256 * 546 in base 6 is equal to 44676.
Compute 256* 546 in base 6.
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