Octal to Binary Converter
To convert octal to binary, you can follow these steps:
1. Identify the octal number you want to convert. Octal numbers are represented using the digits 0-7.
2. Write down the place values of the binary system starting from the rightmost digit, as follows: 4, 2, and 1.
3. Convert each octal digit to its equivalent 3-bit binary representation.
Convert every octal digit (start lowest digit) to 3 binary digits, with this table:
Octal Binary
0 0000
1 0001
2 0010
3 0011
4 0100
5 0101
6 0110
7 0111
4. Replace each octal digit with its corresponding 3-bit binary representation.
5. Once you have converted each octal digit, combine the binary digits together to form the binary representation of the octal number.
Here's an example to illustrate the process:
Let's convert the octal number 27 to binary:
Step 1: Identify the octal number: 27.
Step 2: Write down the place values: 4, 2, and 1.
Step 3: Convert each octal digit:
- The digit 2 is equivalent to 010. The digit 7 is equivalent to 111.
Step 4: Replace each octal digit:
- The octal number 27 becomes 010 111 in binary.
Step 5: Combine the binary digits:
- The binary representation of the octal number 27 is 010111.