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Decimal - Octal Converter is an online tool to perform conversion between decimal to octal number systems in digital electronics & communications. The solved example problems & conversion table may useful to understand how to do such binary - octal conversions manually. By using this converter user may find the equivalent octal or decimal numbers for the decimal or octal input respectively by slecting the appropriate radio button & supplying the respective inputs.
0, 1, 2, 3, 4, 5, 6, 7, 8 & 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 & 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 step by step calculation may useful perform such conversions 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 143_{10} to its octal equivalent.
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 steps may useful to know how to perform octal to binary number 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 143_{8} to its decimal equivalent.
Number Conversion Table
The below is the conversion table for Decimal, Binary, Octal & Hex 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 |
In digital electronics & communications, the conversion between different number systems play vital role to perform various operations. The above solved example & number conversion table may useful to understand how to perform decimal - octal calculations, however, when it comes to online, this decimal - octal converter may useful to perform such computations as easy & quick as possible.