Decimal to Octal - AnjumTips

Use simple and user friendly Decimal to Octal Converter for your daily calculation tasks. Decimal number is a number expressed in the base 10 numeral system. Decimal number’s digits have 10 symbols: 0,1,2,3,4,5,6,7,8,9. Each digit of a decimal number counts a power of 10. Octal number is a number expressed in the base 8 numeral system. Octal number’s digits have 8 symbols: 0,1,2,3,4,5,6,7. Each digit of an octal number counts a power of 16.

Decimal to Octal Converter

Enter Decimal Number: Load simple

Decimal Number:

Octal Number:

Decimal to Octal Calculation Steps

Decimal Value Divide by the Base 8 to Get the Remainder Digits:

Summary

Conversion Steps Table


Steps	Division by 8	Quotient	Octal Digit

How to Convert Decimal to Octal

Basic digits numbers are decimals. The decimal number system is used by many people daily. Also referred to as denary, the decimal number system is a base 10 number system, meaning it is comprised of 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9.

Decimal number example:
653₁₀ = 6×10²+5×10¹+3×10⁰

Octal numbers, sometimes referred to as oct, are base 8 numbers. The octal number system consists of only eight digits: 0, 1, 2, 3, 4, 5, 6 & 7.

Octal number example:
627₈ = 6×8²+2×8¹+7×8⁰ = 1580₁₀

The base 8 system is often used in computing applications because one octal digit evenly represents three binary bits, which are cleanly divisible in 6, 12, 24, and 36-bit computer systems. Since most modern computer systems are 16, 32, or 64-bit systems, and these are cleanly divisible into base 16 numbers, the hexadecimal system is more commonly used today.

Decimal to Octal Conversion Table

Decimal base 10	Octal base 8
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	10
9	11
10	12
11	13
12	14
13	15
14	16
15	17
16	20
17	21
18	22
19	23
20	24
21	25
22	26
23	27
24	30
25	31
26	32
27	33
28	34
29	35
30	36
40	50
50	62
60	74
70	106
80	120
90	132
100	144
200	310
1000	1750
2000	3720