To convert the octal number \(326_8\) to decimal (base 10), we can use the formula for converting from base \(b\) to base \(10\):

\[
N = d_n \times b^n + d_{n-1} \times b^{n-1} + \ldots + d_1 \times b^1 + d_0 \times b^0
\]

Where \(d\) are the digits of the number and \(b\) is the base.

For \(326_8\):

\[
= 3 \times 8^2 + 2 \times 8^1 + 6 \times 8^0
\]

Calculating each term:

1. \(3 \times 8^2 = 3 \times 64 = 192\)
2. \(2 \times 8^1 = 2 \times 8 = 16\)
3. \(6 \times 8^0 = 6 \times 1 = 6\)

Now, adding these together:

\[
192 + 16 + 6 = 214
\]

Thus, \(326_8 = 214_{10}\).

If you have any questions or want further details, let me know! Here are some related questions you might consider:

1. How do you convert other bases to decimal?
2. What is the significance of different number bases?
3. Can you give examples of hexadecimal to decimal conversion?
4. How is the octal system used in computing?
5. What are the limitations of using octal numbers compared to binary and decimal? 

**Tip:** Practice converting different bases to enhance your understanding of number systems!

Discover how to convert the octal number 326 to decimal (base 10) using the base conversion formula. This detailed solution illustrates the process step-by-step, making it suitable for students in Grades 6-8.

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