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# Octal to Decimal Converter

To convert an octal number into a decimal number, enter the value, and click calculate button

Table of Contents:

## Octal to Decimal Converter

Octal to Decimal Converter is a mathematical tool that helps to convert the octal number into a decimal number with just one click.

## Steps for converting Octal to a decimal number

The octal number is defined as having 8 in its base and converting it into a decimal number following the steps below:

- Multiply the entire number with its base one by one and separate them with an addition sign.
- Start writing counting in the exponent of the base from 0,1,2, … so on.
- Simplify the terms and then add them.

## Examples

**Example 1:**

Few conversions of octal numbers to the binary number system.

**(3712)**_{8}

**Step 1:**

Convert Octal to Decimal

(3712)_{8} = 3×8^{3}+7×8^{2 }+ 1×8^{1}+2×8^{0}

(3712)_{8} = 3×512+7×64+1×8+2×1

(3712)_{8} = 1536+448+8+2

(3712)_{8} = 1994

Hence, (3712)_{8} = (1994)_{10}

**b) (62374)**_{8}

**Step 1:**

Convert Octal to Decimal

(62374)** _{8 }= **6×8

^{4}+2×8

^{3 }+ 3×8

^{2}+7×8

^{1}+4×8

^{0}

(62374)** _{8 }= **6×4096+2×512 + 3×64+7×8+4×1

(62374)** _{8 }= **24576+1024+192+56+4

(62374)** _{8 }= **25852

Hence, (62374)** _{8 }= (**25852)

_{10}