Octal to Decimal Converter

Convert octal values to decimal by inputting an octal number and pressing convert.

Information on Number Conversion

A number system is a method of expressing numbers in a consistent manner using digits and numbers. There are different number system like, Decimal, Binary, Octal, Hexadecimal. These different number systems are used in different contexts.

Decimal Number System

Decimal number system is the most commonly used number system. It is a base 10 number system. It uses 10 digits from 0 to 9. The position of each digit in a decimal number denotes the power of 10. The rightmost digit is the ones place, the next digit to the left is the tens place, the next digit to the left is the hundreds place, and so on.

An example of a decimal number is
1234₁₀ = 1×10³ + 2×10² + 3×10¹ + 4×10⁰

Octal Number System

Octal number system is a base 8 number system. It uses 8 digits from 0 to 7. The position of each digit in an octal number denotes the power of 8. The rightmost digit is the ones place, the next digit to the left is the eights place, the next digit to the left is the sixty-fours place, and so on.

An example of an octal number is
1234₈ = 1×8³ + 2×8² + 3×8¹ + 4×8⁰

How to convert Octal to Decimal?

To convert an octal number to decimal, you can use the following steps:

Step 1: Write down the octal number.

Step 2: Write down the decimal equivalent of each octal digit.

Step 3: Multiply each decimal equivalent by 8 raised to the power of the position of the digit.

Step 4: Add the results from step 3 to get the decimal equivalent of the octal number.

Example 1: Convert 2322₈ to (?)₁₀

Step 1: Write down the octal number: 2322₈

Step 2-4:

Octal	Number × 8 ^ i	Output
2	2 × 8³	1024
3	3 × 8²	192
2	2 × 8¹	16
2	2 × 8⁰	2
1024 + 192 + 16 + 2 = 1234
The decimal Representation of (2322)₈ is (1234)₁₀

Example 2: Convert 361100₈ to (?)₁₀

Step 1: Write down the octal number: 361100₈