Binary Octal Conversion Calculator

Convert between binary and octal number systems with our powerful calculator tool

Enter only 0s and 1s

Conversion Results

Input Value
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Result
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Select "Show conversion steps" to see detailed calculation process.

📚 Number Systems Explained

🔢

Binary System (Base-2)

Uses only two digits: 0 and 1. Fundamental to all digital systems and computer operations.

Example: 10102 = 1010
🔄

Octal System (Base-8)

Uses digits from 0 to 7. Commonly used in computing as a more compact representation of binary.

Example: 128 = 1010
#️⃣

Decimal System (Base-10)

The standard system using digits 0-9. What humans use for everyday counting.

Example: 1010 = A16

📊 Binary-Octal-Decimal Conversion Table

Binary Octal Decimal Hex
0000 0 0 0
0001 1 1 1
0010 2 2 2
0011 3 3 3
0100 4 4 4
0101 5 5 5
0110 6 6 6
0111 7 7 7
1000 10 8 8
1001 11 9 9
1010 12 10 A

Note: This table shows the fundamental relationships between number systems.

🔍 Common Binary-Octal Conversions

10102 = 128
Basic conversion example
11112 = 178
Nibble to octal
1000002 = 408
Power of two conversion
1010102 = 528
Pattern example
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Note: This calculator provides accurate conversions between number systems. For extremely large numbers, precision may be limited by JavaScript's number handling capabilities.