245×23 Base 6

Answer 1

To calculate 245×23 in base 6, you need to convert both numbers to base 10, calculate the multiplication, and then convert the result back to base 6.

Converting 245 to base 10:
2×6^2 + 4×6^1 + 5×6^0 = 2×36 + 4×6 + 5×1 = 72 + 24 + 5 = 101

Converting 23 to base 10:
2×6^1 + 3×6^0 = 2×6 + 3×1 = 12 + 3 = 15

Multiplying 101 × 15 = 1515 in base 10.

Converting 1515 to base 6:
1515 ÷ 6 = 252 remainder 3
252 ÷ 6 = 42 remainder 0
42 ÷ 6 = 7 remainder 0
7 ÷ 6 = 1 remainder 1
1 ÷ 6 = 0 remainder 1

The result is 110301 in base 6.