Covert 115 base 6 to base 6

Answer 1

The number \(115\) in base \(6\) is already in base \(6\). It represents the quantity using base \(6\) digits.

However, if you're looking for a conversion to a different base (such as base \(10\)), we can explain it:

To convert \(115_6\) (115 in base 6) to base \(10\), we can expand it as follows:

\[ 1 \cdot 6^2 + 1 \cdot 6^1 + 5 \cdot 6^0 \]

Calculating each term:

• \(1 \cdot 6^2 = 36\)
• \(1 \cdot 6^1 = 6\)
• \(5 \cdot 6^0 = 5\)

Now add them all together:

\[ 36 + 6 + 5 = 47 \]

So, \(115_6 = 47_{10}\) when converted to base \(10\).

If you meant converting to a different base again, please specify!