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Octal to Binary



This converter converts the given octal number to binary number.

Octal to Binary

Octal to binary conversion is the process of converting an octal (base-8) number into its binary (base-2) representation.

In the octal system, numbers are represented using the digits 0 through 7.

Steps to Convert Octal to Binary

Here are the steps to convert an octal number to binary:

  1. Convert each octal digit to its equivalent 3-bit binary representation.
  2. Concatenate the binary representations to get the final result.

Example

Let's take an example to illustrate the process. Suppose we want to convert the octal number 345 to binary:

  1. Convert each octal digit to its 3-bit binary representation: 3 to 011, 4 to 100, 5 to 101.
  2. Concatenate the binary representations to get the final result: 011 100 101. You may remove the leading zeroes. Resulting binary is: 11 100 101

The binary equivalent is 11100101.

Therefore, 345 in octal is equal to 11100101 in binary.