Question
Evaluate 235base6×43base6
Answers
GPT 3.5
To evaluate 235 base 6 multiplied by 43 base 6, we need to convert both numbers to base 10, perform the multiplication, and then convert the result back to base 6.
Converting 235 base 6 to base 10:
235 base 6 = (2 * 6^2) + (3 * 6^1) + (5 * 6^0) = 72 + 18 + 5 = 95 base 10
Converting 43 base 6 to base 10:
43 base 6 = (4 * 6^1) + (3 * 6^0) = 24 + 3 = 27 base 10
Performing the multiplication in base 10:
95 * 27 = 2565 base 10
Converting 2565 base 10 to base 6:
2565 base 10 = (1 * 6^3) + (3 * 6^2) + (4 * 6^1) + (5 * 6^0) = 1296 + 648 + 24 + 5 = 1973 base 6
Therefore, 235 base 6 multiplied by 43 base 6 is equal to 1973 base 6.
Converting 235 base 6 to base 10:
235 base 6 = (2 * 6^2) + (3 * 6^1) + (5 * 6^0) = 72 + 18 + 5 = 95 base 10
Converting 43 base 6 to base 10:
43 base 6 = (4 * 6^1) + (3 * 6^0) = 24 + 3 = 27 base 10
Performing the multiplication in base 10:
95 * 27 = 2565 base 10
Converting 2565 base 10 to base 6:
2565 base 10 = (1 * 6^3) + (3 * 6^2) + (4 * 6^1) + (5 * 6^0) = 1296 + 648 + 24 + 5 = 1973 base 6
Therefore, 235 base 6 multiplied by 43 base 6 is equal to 1973 base 6.