Instantly convert decimal numbers (base-10) to octal numbers (base-8). Simple, fast, and accurate decimal to octal calculator.
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Follow these simple steps to convert your decimal numbers to octal.
Type your decimal number into the input field. Only digits 0-9 are accepted. Our decimal to octal converter will process it instantly.
Press the convert button to instantly transform your decimal to octal format. The decimal to octal calculator performs the conversion automatically.
See the detailed step-by-step calculation process showing how the decimal to octal conversion works. The decimal to octal conversion process is explained step by step.
Copy the octal result to your clipboard for use. This feature makes the convert decimal to octal tool very efficient.
Decimal to octal conversion is the process of translating a number from the decimal system (base-10) to the octal system (base-8). The decimal system is the standard system for denoting integer and non-integer numbers, using digits 0-9. The octal system uses digits 0-7. This decimal to octal converter makes this process automatic and instant. Our decimal to octal calculator provides accurate results with detailed conversion steps, helping students and professionals understand the underlying math.
To convert decimal to octal, you need to perform successive division by 8. Divide the decimal number by 8 and record the remainder. Continue dividing the quotient by 8 until the quotient becomes 0. The octal number is formed by reading the remainders from the last division to the first (bottom to top). Here is a step-by-step example using our decimal to octal conversion method:
Quick reference for converting common decimal numbers to octal. This decimal to octal table covers a range of values useful for quick checks.
| Decimal | Octal | Binary |
|---|---|---|
| 0 | 0 | 00000000 |
| 1 | 1 | 00000001 |
| 2 | 2 | 00000010 |
| 3 | 3 | 00000011 |
| 4 | 4 | 00000100 |
| 5 | 5 | 00000101 |
| 6 | 6 | 00000110 |
| 7 | 7 | 00000111 |
| 8 | 10 | 00001000 |
| 9 | 11 | 00001001 |
| 10 | 12 | 00001010 |
| 11 | 13 | 00001011 |
| 12 | 14 | 00001100 |
| 13 | 15 | 00001101 |
| 14 | 16 | 00001110 |
| 15 | 17 | 00001111 |
| 16 | 20 | 00010000 |
| 20 | 24 | 00010100 |
| 32 | 40 | 00100000 |
| 64 | 100 | 01000000 |
| 100 | 144 | 01100100 |
| 255 | 377 | 11111111 |
Octal is widely used in Unix and Linux systems to represent file permissions. Each digit represents the permissions for user, group, and others (Read=4, Write=2, Execute=1).
Older computing systems like the PDP-8 and ICL 1900 used 12-bit, 24-bit, or 36-bit words, which were easily divisible by 3, making octal a convenient representation.
While decimal is our natural way of counting, computing systems often work more efficiently with powers of 2. Octal (base-8) is a compact way to represent binary numbers, as each octal digit corresponds to exactly three binary bits. A decimal to octal calculator is essential for programmers working with low-level systems, file permissions, or legacy hardware. Our convert decimal to octal tool ensures you get precise results every time, whether you are a student learning number systems or a developer debugging code. Using a decimal to octal table can speed up manual work, but for larger numbers, an automated decimal to octal conversion tool is indispensable.
Why use our Decimal to Octal Converter?
Convert decimal to octal numbers in milliseconds with our optimized decimal to octal calculator. The decimal to octal converter provides instant results.
Understand the decimal to octal conversion process with detailed calculation steps for educational purposes. Learn how to convert decimal to octal effectively.
Access our decimal to octal calculator from any device, anywhere. The decimal to octal converter is fully responsive and works on mobile, tablet, and desktop.
One-click copy functionality for your convenience. The convert decimal to octal tool makes it easy to use the results in your projects.
Includes explanations and examples to help you learn. Our decimal to octal table and guides are perfect for students.
Use this decimal to octal converter completely free, no installation required. The decimal to octal calculator works directly in your browser.
Common questions about decimal to octal conversion.