Question

How do you convert octal to binary easily?

Answer 1

To convert octal to binary easily, you can follow these simple steps:

### Step-by-step process:
1. **Write down the octal number.**
   For example, let’s take the octal number `345`.

2. **Convert each octal digit to its 3-bit binary equivalent.**
   Each octal digit corresponds to exactly 3 binary digits (bits). Here's a quick reference for each octal digit:

   - Octal 0 = Binary `000`
   - Octal 1 = Binary `001`
   - Octal 2 = Binary `010`
   - Octal 3 = Binary `011`
   - Octal 4 = Binary `100`
   - Octal 5 = Binary `101`
   - Octal 6 = Binary `110`
   - Octal 7 = Binary `111`

3. **Convert each octal digit:**
   - `3` in octal is `011` in binary.
   - `4` in octal is `100` in binary.
   - `5` in octal is `101` in binary.

4. **Put them together.**
   Now, just combine all the binary equivalents of each octal digit:
   - Octal `345` becomes Binary `011100101`.

### Final Answer:
So, the octal number `345` is equivalent to the binary number `011100101`.

### Quick Tip:
This method works because each octal digit can be directly converted into a 3-bit binary number, making the conversion very straightforward.