Question

What is 326 octal in binary?

Answer 1

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

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

   Octal numbers are base-8, and binary numbers are base-2. Each octal digit can be represented by exactly three binary digits (bits) because \(2^3 = 8\). Here’s how each digit converts:

   - Octal 0 is binary 000
   - Octal 1 is binary 001
   - Octal 2 is binary 010
   - Octal 3 is binary 011
   - Octal 4 is binary 100
   - Octal 5 is binary 101
   - Octal 6 is binary 110
   - Octal 7 is binary 111

2. **Apply this conversion to each digit of the octal number.**

   For the octal number 326, convert each digit:

   - The octal digit 3 converts to binary 011.
   - The octal digit 2 converts to binary 010.
   - The octal digit 6 converts to binary 110.

3. **Combine the binary groups.**

   Putting these together, you get:

   - 3 (octal) → 011 (binary)
   - 2 (octal) → 010 (binary)
   - 6 (octal) → 110 (binary)

   Therefore, the octal number 326 in binary is 011010110.

So, 326 (octal) converts to 011010110 (binary).

Answer 2

To convert the octal number 326 to binary, you can follow these steps:

1. **Break down the octal digits**: Each digit in an octal number can be represented by a 3-bit binary number since octal is base-8 and binary is base-2.

2. **Convert each digit to binary**:
   - The octal digit `3` is `011` in binary.
   - The octal digit `2` is `010` in binary.
   - The octal digit `6` is `110` in binary.

3. **Combine the binary digits**: Just concatenate the binary equivalents of each digit.

So, \( 326_8 \) in binary is:

\[
326_8 = 011\ 010\ 110_2
\]

Thus, \( 326_8 \) is equivalent to \( 011010110_2 \) in binary.