Octal to Decimal Converter

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

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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

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