Converter
Encoding
NumberDecimal to Octal Converter
Convert decimal numbers to octal and hexadecimal with step-by-step calculation. Simple and accurate decimal to octal conversion tool.
Decimal to Octal Converter
Convert decimal numbers to octal and hexadecimal format. This tool provides step-by-step conversion process showing how decimal numbers are converted to octal (base-8) and hexadecimal (base-16) systems.
What is decimal to octal conversion?
Decimal to octal conversion is the process of converting a base-10 number to a base-8 number. This is done by repeatedly dividing the decimal number by 8 and collecting the remainders in reverse order.
How do you convert decimal to octal?
To convert decimal to octal:
1. Divide the decimal number by 8
2. Record the remainder
3. Divide the quotient by 8 again
4. Repeat until quotient is 0
5. Read remainders from bottom to top
What is the difference between octal and decimal?
Decimal uses digits 0-9 (base-10), while octal uses digits 0-7 (base-8). Octal is commonly used in computing and digital systems as it's easier to convert to binary.
Why use octal instead of decimal?
Octal is useful in computing because:
- Easy conversion to binary (3 octal digits = 9 binary digits)
- More compact than binary
- Used in Unix file permissions
- Common in some programming contexts
Decimal to Octal Conversion Table
| Decimal | Octal | Binary | Hex |
|---|---|---|---|
| 0 | 0 | 000 | 0 |
| 1 | 1 | 001 | 1 |
| 2 | 2 | 010 | 2 |
| 3 | 3 | 011 | 3 |
| 4 | 4 | 100 | 4 |
| 5 | 5 | 101 | 5 |
| 6 | 6 | 110 | 6 |
| 7 | 7 | 111 | 7 |
| 8 | 10 | 1000 | 8 |
| 9 | 11 | 1001 | 9 |
| 10 | 12 | 1010 | A |
| 15 | 17 | 1111 | F |
| 16 | 20 | 10000 | 10 |
| 32 | 40 | 100000 | 20 |
| 64 | 100 | 1000000 | 40 |
| 100 | 144 | 1100100 | 64 |
| 255 | 377 | 11111111 | FF |
| 256 | 400 | 100000000 | 100 |
