Decimal ⇄ Octal Converter

 
Decimal Value
Octal  =  31
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GENERATE WORK
GENERATE WORK

Decimal ⇄ Octal Conversions with Steps

Input Data :
Decimal = 25

Obejective :
Convert Decimal to Octal Value

Solution with Steps :

825
831
803

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.
decimal to octal number conversion example

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.
octal to decimal number conversion example
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.