Decimal ⇄ Octal Converter with Steps

Decimal ⇄ Octal Conversions with Steps

Input Data :
Decimal = 25

Obejective :
Convert Decimal to Octal Value

Solution with Steps :

8	25
8	3	1
8	0	3

Write the Ramainders from bottom to top
`25_10 = 31_8`

Decimal ⇄ Octal Converter, work with steps, solved example problems and conversion table to learn, practice and verify decimal to octal or octal to decimal conversion involved in digital electronics & communications. Supply Decimal input values and generate the step by step work for decimal to octal conversion. Similarly, supply Octal input values and generate step by step work for octal to decimal conversion.

Method for Decimal to Octal Conversion

0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the decimal numbers, generally represented by base-10 notation in digital electronics & communications. Whereas, the digits 0, 1, 2, 3, 4, 5, 6 and 7 are known as octal numbers generally represented by base-8 notation. The decimal to octal conversion can be done by using the MOD-8 operation. The below method and step by step conversion may useful to learn and practice how to do decimal to octal conversion manually.

step 1: Perform the MOD-8 operation for the given decimal number.
step 2: Arrange remainder from the bottom to top as shown in the below figure, is the equivalent octal number.
Solved Example Problem
The below solved example problem may useful to understand how to perform decimal to octal number conversion.

Problem
Convert the decimal 143₁₀ to its octal equivalent.

Method for Octal to Decimal Conversion

This conversion can be done by adding the multiplication of each digit of octal number with its increasing power of 8 from right to left. The below method and steps may useful to learn and practice how to do octal to decimal conversion.

step 1: Separate the digits of the given octal number, if it contains more than 1 digit.
step 2: Multiply each digit of octal number with its increasing power of 8 from right to left.
step 4: Add all the individual results provides the equivalent decimal number.
Solved Example Problem
The below solved example problem may useful to understand how to perform octal to decimal number conversion.

Problem
Convert the octal number 143₈ to its decimal equivalent.

Decimal, Binary, Hex & Octal - Conversion Table
The below is the conversion table for Decimal, Binary, Hex and Octal number systems.

**Conversion Table for Decimal, Binary, Hex and Octal number systems**
Decimal	Binary	Octal	Hex
0	0000	0	0
1	0001	1	1
2	0010	2	2
3	0011	3	3
4	0100	4	4
5	0101	5	5
6	0110	6	6
7	0111	7	7
8	1000	10	8
9	1001	11	9
10	1010	12	A
11	1011	13	B
12	1100	14	C
13	1101	15	D
14	1110	16	E
15	1111	17	F

Users can use the above converter, work with steps, solved examples and conversion table to learn, practice and verify how to do decimal to octal and octal to decimal conversions efficiently.