Decimal to Octal Converter

The Decimal to Octal Converter is a tool that allows you to convert decimal numbers (base-10) to octal numbers (base-8). This converter handles both whole numbers and decimal fractions. Octal is a number system that uses eight digits: 0 through 7. It's commonly used in computing as a more concise way to represent binary data.

How to use this converter:

1. Enter one or more decimal numbers in the input field (separated by spaces)
2. You can include decimal fractions (e.g., 120.12, 255.5)
3. Click the "Convert to Octal" button or enable auto-processing
4. View the octal equivalent in the output field

Examples:

• 10 in decimal = 12 in octal
• 42 in decimal = 52 in octal
• 120.12 in decimal = 170.0746... in octal
• 255.5 in decimal = 377.4 in octal

How decimal to octal conversion works:

To convert a decimal number to octal:

For the integer part:

1. Divide the decimal number by 8 repeatedly
2. Record the remainders after each division
3. Read the remainders from bottom to top to get the octal integer part

For the fractional part:

1. Multiply the fractional part by 8
2. Record the integer part of the result
3. Take the fractional part of the result and multiply by 8 again
4. Repeat until you get the desired precision or the fractional part becomes 0
5. Read the integer parts in order to get the octal fractional part

For example, to convert decimal 120.12 to octal:

Integer part (120):
120 ÷ 8 = 15 remainder 0
15 ÷ 8 = 1 remainder 7
1 ÷ 8 = 0 remainder 1
Reading from bottom to top: 170

Fractional part (0.12):
0.12 × 8 = 0.96 → 0
0.96 × 8 = 7.68 → 7
0.68 × 8 = 5.44 → 5
0.44 × 8 = 3.52 → 3
...and so on

Result: 170.0753...

This converter handles multiple decimal numbers at once and provides instant conversion results with up to 8 digits of precision for the fractional part.