To convert an octal number to binary, follow these steps:

1. Convert each octal digit to a 3-bit binary equivalent.

   • Each octal digit represents a unique 3-bit binary number since $2^3 = 8$.

2. Combine the binary groups to form the binary equivalent.

Here's a quick reference for octal to binary conversions:

Octal Digit	Binary Equivalent
0	000
1	001
2	010
3	011
4	100
5	101
6	110
7	111

Example

Convert octal number $345$ to binary.

1. Write each digit in binary:

   • $3$ → $011$
   • $4$ → $100$
   • $5$ → $101$

2. Combine them: $345_{\text{octal}} = 011100101_{\text{binary}}$

Result:

The binary representation of $345_{\text{octal}}$ is $011100101_{\text{binary}}$.

Would you like more details or have any specific examples in mind?

Here are some additional related questions you might find helpful:

1. How can I convert binary to octal?
2. What is the process for converting octal to decimal?
3. How can I convert hexadecimal to binary?
4. Why does each octal digit correspond to exactly 3 binary bits?
5. How can I verify the accuracy of an octal to binary conversion?

Tip: Remember, grouping binary digits into 3-bit sets (from the right) helps when converting large binary numbers back to octal.