Convert binary numbers to octal format using grouping method (3 bits per octal digit)
Group the binary digits into sets of 3, starting from the right
Add leading zeros to the leftmost group if needed
Convert each 3-bit group to its octal equivalent
Combine all octal digits to get the final result
Step 1: Group into 3-bit chunks
101 101
Step 2: Convert each group
101₂ = 5₈
101₂ = 5₈
Step 3: Combine results
101101₂ = 55₈
| Binary (3-bit) | Octal | Binary (3-bit) | Octal |
|---|---|---|---|
| 000 | 0 | 100 | 4 |
| 001 | 1 | 101 | 5 |
| 010 | 2 | 110 | 6 |
| 011 | 3 | 111 | 7 |
Octal groups 3 bits together, while hexadecimal groups 4 bits. This makes octal less compact than hexadecimal but still useful for certain applications.
3 bits per digit
Digits: 0-7
Example: 755₈
4 bits per digit
Digits: 0-9, A-F
Example: 1ED₁₆
