https://file.aiquickdraw.com/mathbot/file/17242976333625kxqabkq.jpg

Certainly! The image asks you to convert the binary number `110110011_2` to its equivalent in base 8 (octal).

### Step-by-Step Solution:

1. **Group the binary digits into sets of three** (starting from the right):
   - `110` `110` `011`

2. **Convert each group to its decimal (base 10) equivalent**:
   - `110` in binary is `6` in decimal.
   - `110` in binary is `6` in decimal.
   - `011` in binary is `3` in decimal.

3. **Write the decimal numbers together** to get the base 8 (octal) equivalent:
   - The base 8 equivalent of `110110011_2` is `663_8`.

So, the correct answer is \( \boxed{663} \).

Would you like further details or have any questions? Here are some related questions:

1. How do you convert a binary number directly to a hexadecimal number?
2. What is the method for converting a decimal number to a binary number?
3. Can you convert the binary number `101010_2` to octal?
4. How would you convert the octal number `764_8` to binary?
5. What is the significance of the base in numeral systems?

**Tip:** When converting binary to octal, grouping the binary digits in sets of three from the right makes the process straightforward, as each group corresponds to a single octal digit.

Learn how to convert the binary number 110110011 to its octal equivalent step-by-step. This problem involves number systems, focusing on binary and octal conversions. Suitable for students in Grades 9-12.

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