Enter Octal Number:
Octal to Binary Converter
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This webpage has a Octal to Binary Converter tool. The Octal to Binary Converter is used to convert a mixed Octal number into its equivalent Binary number. For example : if you give the Octal number as (2541.342)_{8} , then the Octal to Binary Converter tool will convert the given Octal number into Binary as (10101100001.01110001)_{2} . if you give the Octal number as (534210376.10102351)_{8} , then the Octal to Binary Converter tool will convert the given Octal number into Binary as (101010011100010001000011111110.001000001000010011101001)_{2} . Now, I am very happy to say that, the already available (existing other) converters are able to convert only Integer Octal number into its equivalent binary number. But this Octal to Binary Converter is able to convert both the integer Octal number and the floating point (Real) Octal number into its equivalent binary number very accurately. So it is noted that, this converter tool is used to convert a mixed Octal number to its equivalent Binary number.

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Step by Step Procedure to convert Octal to Binary
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To convert a Octal into Binary, we should find the Binary equivalents of each Octal digit present in the number. If any of the binary bit group of Octal digit contain less than 3 bits, we should make the binary bit group into 3 bit group by adding zeros on left hand side.

1. Let us convert the Octal (62534.3417)_{8} to binary equivalent.

Step 1 : 62534.3417

( Find binary equivalence of each Octal digit )

Step 2 : 110 10 101 11 100.11 100 1 111

( 0’s to be added to make all the bit groups into 3 bits binary groups )

Step 3 : 110 010 101 011 100.011 100 001 111
( Decimal equivalents for each 3 bits binary groups)

Step 4 : (110010101011100.011100001111)_{2}

2. Let us convert the Octal (37625471.2132614)_{8} to binary equivalent.

Step 1 : 37625471.2132614

Step 2 : 11 111 110 10 101 100 111 1.10 1 11 10 110 1 100

Step 3 : 011 111 110 010 101 100 111 001.010 001 011 010 110 001 100

Step 4 : (11111110010101100111001.0100010110101100011)_{2}

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