Octal to Decimal Converter

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.

1. (3712)₈

Step 1:

Convert Octal to Decimal

(3712)₈ = 3×8³+7×8² + 1×8¹+2×8⁰

(3712)₈ = 3×512+7×64+1×8+2×1

(3712)₈ = 1536+448+8+2

(3712)₈ = 1994

Hence, (3712)₈ = (1994)₁₀

1. b) (62374)₈

Step 1:

Convert Octal to Decimal

(62374)₈ = 6×8⁴+2×8³ + 3×8²+7×8¹+4×8⁰

(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