Octal to Decimal Converter
Convert octal to decimal instantly with accurate results. Get decimal numbers quickly from any octal value with our reliable converter for your conversion needs.
Octal to Decimal Converter
Enter an octal number to convert it to decimal.
Octal (Oct)
Decimal (Dec)
Enter the octal number you want to convert (digits 0-7).
Please enter a valid octal number (digits 0-7).
Here is your conversion result:
How to Convert Octal to Decimal?
To convert octal to decimal, multiply each octal digit by 8 raised to the power of its position (counting from right to left, starting at 0) and sum the results. For example: 377₈ = (3 × 8²) + (7 × 8¹) + (7 × 8⁰) = 3×64 + 7×8 + 7 = 255₁₀.
What is Octal?
Definition
Octal (base-8) is a positional numeral system that uses eight digits: 0, 1, 2, 3, 4, 5, 6, and 7.
Common Uses
- Early computer systems and minicomputers
- Unix and Linux file permission notation
- Compact representation of binary values
- Digital electronics and microcontroller documentation
Relationship to Binary
Each octal digit represents exactly three binary digits (bits), allowing for straightforward conversions between the two systems.
What is Decimal?
Definition
Decimal (base-10) is the standard numeral system used in everyday life. It uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Common Uses
- Everyday counting and arithmetic
- Financial calculations and currency
- Measuring quantities and dimensions
- Scientific calculations
- Data representation in most applications
History
The decimal system is believed to have originated from counting on fingers (humans typically have 10 fingers), making it the most intuitive and widely adopted numeral system.
Octal to Decimal Conversion Table
This table shows common octal to decimal conversions for quick reference.
- Octal (Oct)
- Decimal (Dec)
- 0
- 0
- 1
- 1
- 2
- 2
- 3
- 3
- 4
- 4
- 5
- 5
- 6
- 6
- 7
- 7
- 10
- 8
- 11
- 9
- 12
- 10
- 13
- 11
- 14
- 12
- 15
- 13
- 16
- 14
- 17
- 15
- 20
- 16
- 27
- 23
- 33
- 27
- 40
- 32
- 55
- 45
- 77
- 63
- 100
- 64
- 125
- 85
- 177
- 127
- 200
- 128
- 377
- 255
- 512
- 330
- 777
- 511
- 1000
- 512
- 1777
- 1023
- 2000
- 1024
Conversion Calculators
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