Decimal to Octal Converter Online Tool

Octal Number₈

Hex Number₁₆

Binary Number₂

About Decimal to Octal Converter Online Tool:

This online decimal to octal converter tool helps you to convert one input decimal number (base 10) into a octal number (base 8).

Decimal Numeral System:

Decimal numeral system (also called Hindu-Arabic, or Arabic) has 10 digits, include (0, 1, 2, 3, 4, 5, 6, 7, 8, 9), it's the most used number system in our daily life. Decimal numeral system is also one of the most ancient number system, it's inspired by 10 fingers of human.

Octal Numeral System:

Octal numeral system (Oct) has 8 digits, include (0, 1, 2, 3, 4, 5, 6, 7). One Octal digit can be represented by 3 digits binary digits.

How to convert from decimal to octal?

Step 1: Divide the decimal number by 8, get the integer quotient and the remainder.
Step 2: Convert the remainder to the octal digit in that position.
Step 3: Using the integer quotient to repeat the steps until the integer quotient equals to 0.

Example: Convert decimal number "4321" to octal (result is "10341"):

Repeat Division	Integer Quotient	Remainder (decimal)	Remainder (octal)	Digit Position
4321/8	540	1	1	0
540/8	67	4	4	1
67/8	8	3	3	2
8/8	1	0	0	3
1/8	0	1	1	4

Decimal to Octal conversion table:

Decimal	Octal	Decimal	Octal
1	1	30	36
2	2	40	50
3	3	50	62
4	4	60	74
5	5	70	106
6	6	80	120
7	7	90	132
8	10	100	144
9	11	200	310
10	12	300	454
11	13	400	620
12	14	500	764
13	15	600	1130
14	16	700	1274
15	17	800	1440
16	20	900	1604
17	21	1000	1750
18	22	2000	3720
19	23	3000	5670
20	24	4000	7640

More information:

Wikipedia (Octal): https://en.wikipedia.org/wiki/Octal

Wikipedia (Decimal): https://en.wikipedia.org/wiki/Decimal

Convert Decimal to Octal with Python:

def decimal_to_octal(decimal_str):
    decimal_number = int(decimal_str, 10)
    octal_number = oct(decimal_number)
    return octal_number


decimal_input = '4321'
octal_output = decimal_to_octal(decimal_input)
print('octal result is:{0}'.format(octal_output))

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octal result is:0o10341

Convert Decimal to Octal with Java:

public class NumberConvertManager {
    public static String decimal_to_octal(String decimal_str) {
        return Integer.toOctalString(Integer.parseInt(decimal_str));
    }

    public static void main(String[] args) {
        String decimal_input = "4321";
        String octal_output = decimal_to_octal(decimal_input);
        System.out.println("octal result is:" + octal_output);
    }
}

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octal result is:10341