Question

Multiply 235base6 and 43 base6

Answer 1

To multiply two numbers in base 6, we can use the same process as multiplication in base 10. However, we need to remember the base and carry over any values greater than or equal to 6.

Let's convert the given numbers into base 10 to make the calculations easier:

235 base 6 = 2 * 6^2 + 3 * 6^1 + 5 * 6^0 = 72 + 18 + 5 = 95
43 base 6 = 4 * 6^1 + 3 * 6^0 = 24 + 3 = 27

Now we can multiply the converted numbers in base 10:

95 * 27 = 2565

Finally, let's convert the result back to base 6:

2565 base 6 = 5 * 6^3 + 2 * 6^2 + 1 * 6^1 + 5 * 6^0 = 1080 + 72 + 6 + 5 = 1163 base 6

So, the multiplication of 235 base 6 and 43 base 6 is 1163 base 6.