Master Converter Tool
Binary to Octal Converter
Convert binary bit strings into base-8 Octal numbers.
Tool Key Features
Instant Conversion
Sub-millisecond base-2 to base-10 calculation.
Accurate Results
Guaranteed 100% mathematical precision.
Unlimited Usage
Convert as many values as you need for free.
Mobile Friendly
Fully responsive UI on phone, tablet, & desktop.
Copy Result
One-click copy output to clipboard.
Secure Processing
All processing happens locally in your browser.
Free Forever
No paywalls, subscription fees, or hidden costs.
No Registration
Start converting immediately without logging in.
What is Binary to Octal Converter?
Binary to Octal conversion groups binary digits into sets of 3 to produce octal digits.
How to Use the Binary to Octal Converter
- Enter binary string.
- Click Convert.
Live Conversion Examples
Input: 111101101Output: 755
How the Conversion Works
Binary conversion relies on positional values of powers of 2. Each bit position starting from the right (index 0) has a weight of 2^n:
2^7
128
2^6
64
2^5
32
2^4
16
2^3
8
2^2
4
2^1
2
2^0
1
Conversion Formula
Decimal = Σ (bit_i × 2^i) where i is the bit index from right to left.
Binary to Decimal Conversion Table (0–32)
| Decimal | Binary (8-bit) | Hexadecimal |
|---|---|---|
| 0 | 00000000 | 0x00 |
| 1 | 00000001 | 0x01 |
| 2 | 00000010 | 0x02 |
| 3 | 00000011 | 0x03 |
| 4 | 00000100 | 0x04 |
| 5 | 00000101 | 0x05 |
| 6 | 00000110 | 0x06 |
| 7 | 00000111 | 0x07 |
| 8 | 00001000 | 0x08 |
| 9 | 00001001 | 0x09 |
| 10 | 00001010 | 0x0A |
| 11 | 00001011 | 0x0B |
| 12 | 00001100 | 0x0C |
| 13 | 00001101 | 0x0D |
| 14 | 00001110 | 0x0E |
| 15 | 00001111 | 0x0F |
| 16 | 00010000 | 0x10 |
| 17 | 00010001 | 0x11 |
| 18 | 00010010 | 0x12 |
| 19 | 00010011 | 0x13 |
| 20 | 00010100 | 0x14 |
| 21 | 00010101 | 0x15 |
| 22 | 00010110 | 0x16 |
| 23 | 00010111 | 0x17 |
| 24 | 00011000 | 0x18 |
| 25 | 00011001 | 0x19 |
| 26 | 00011010 | 0x1A |
| 27 | 00011011 | 0x1B |
| 28 | 00011100 | 0x1C |
| 29 | 00011101 | 0x1D |
| 30 | 00011110 | 0x1E |
| 31 | 00011111 | 0x1F |
| 32 | 00100000 | 0x20 |
Frequently Asked Questions
What is binary 111 in octal?
Binary 111 equals octal 7.