Multiply. 1B7twelve x 29twelve
the question is
1B7twelve x 29twelve
method 1
Create a base 12 multiplication table and do the multiplication from there, or
method 2.
convert 1B712 and 2912 to base 10, do the multiplication , then switch back to base 12
I asked "why" because I don't see much value is that type of question, unless you work in a base such as base 2 or base 16, which would have applications in computers.
2004
54A3twelve
To multiply 1B7twelve by 29twelve, we need to convert both numbers to a base where multiplication is more familiar, such as base 10.
To convert a number from base twelve to base ten:
- Start from the rightmost digit and multiply each digit by the corresponding power of twelve.
- Add the products together to get the decimal equivalent.
Let's convert each number to base ten:
1B7twelve = (1 * 12^2) + (11 * 12^1) + (7 * 12^0)
= (1 * 144) + (11 * 12) + (7 * 1)
= 144 + 132 + 7
= 283
29twelve = (2 * 12^1) + (9 * 12^0)
= (2 * 12) + (9 * 1)
= 24 + 9
= 33
Now that we have converted both numbers to base ten, we can multiply them:
283 * 33 = 9349
Therefore, 1B7twelve multiplied by 29twelve equals 9349.