# Decimal to Octal Converter

### Enter a Decimal Number

Octal number:

352

Decimal to Octal Conversion

(234)10 = (352)8

Please enter all the details correctly.

In digital electronics and computer programming, octal (base 8) is sometimes used as a numerical system.

If you need to convert a decimal number to octal, follow these steps: divide the decimal number by 8, get the integer quotient, and repeat until the quotient is zero.

In this guide, we’ll provide examples and include a conversion table for reference.

## Steps to Convert from Decimal to Octal

To convert a decimal number to octal, follow these steps:

1. Divide the decimal number by 8.
2. Write down the integer quotient and the remainder.
3. Convert the remainder to an octal digit (see conversion table below).
4. Repeat steps 1-3 with the integer quotient until it is equal to 0.
5. Write the octal digits in reverse order to get the final result.

Example #1: Convert 756210 to Octal

Division by 8:

Division by 8Quotient (integer)Remainder (decimal)Remainder (octal)Digit #
17562/8945220
2945/8118111
3118/814662
414/81663
51/80114

Therefore, 756210 in decimal is equivalent to 166128 in octal.

Example #2: Convert 3563110 to Octal

Division by 8:

Division by 8QuotientRemainder (decimal)Remainder (octal)Digit #
135631/84453770
24453/8556551
3556/869442
469/88553
58/81004
61/80115

Therefore, 3563110 in decimal is equivalent to 1054578 in octal.

Decimal to Octal Conversion Table

To help with decimal to octal conversions, use this table as a reference:

Decimal (base 10)Octal (base 8)
11
22
33
44
55
66
77
810
911
1012
1113
1214
1315
1416
1517
1620
1721
1822
1923
2024
2125
2226
2327
2430
2531
2632
2733
2834
2935
3036
4050
5062
6074
70106
80120
90132
100144
200310
10001750
20003720

## Conclusion

Converting decimal to octal is a straightforward process that can be done by following a few simple steps. Remember to use the conversion table provided for reference and to double-check your results.

With this knowledge, you’ll be able to work with octal numbers in various applications with ease.