Octal to Binary Converter | Convert Octal to Binary Numbers
Free online octal to binary converter. Convert octal numbers to binary with instant results and step-by-step explanations. Includes conversion table and examples.
Octal to Binary Converter
Octal to Binary Reference Table
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
Common Examples
Octal: 377
Binary: 11111111
Maximum 8-bit value
Octal: 177
Binary: 01111111
Maximum 7-bit value
Octal: 077
Binary: 00111111
Maximum 6-bit value
Octal: 123
Binary: 01010011
Common sequence
How Octal to Binary Conversion Works
Step-by-Step Process
- Convert each octal digit to its 3-bit binary equivalent
- Combine all binary groups in order
- Remove leading zeros if not needed
Example: Converting "25" to Binary
- 1. Split octal number: 2 | 5
- 2. Convert each digit:
- • 2 = 010
- • 5 = 101
- 3. Combine: 010101
Key Points
- Each octal digit converts to 3 bits
- Valid octal digits are 0-7 only
- Maintain proper place values
Common Patterns
7 = 111
4 = 100
2 = 010
1 = 001
Practice Conversions
Convert: 123₈
Answer: 001010011₂
Convert: 456₈
Answer: 100101110₂
Convert: 777₈
Answer: 111111111₂
Additional Information
Uses of Octal Numbers
- Unix file permissions
- Legacy computing systems
- Some embedded systems
- Data representation
Binary Grouping
Octal is useful because three binary digits perfectly represent one octal digit, making conversion straightforward.
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About this Calculator
Free online octal to binary converter. Convert octal numbers to binary with instant results and step-by-step explanations. Includes conversion table and examples.
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