Octal to Binary

Convert octal numbers to binary effortlessly with our Octal to Binary Converter. Translate octal values into their binary representations quickly and accurately. Whether you're working with computer science, number systems, or programming, our tool simplifies the conversion process. Experience seamless octal-to-binary conversions with our user-friendly Octal to Binary Converter.

Octal to Binary

Octal Number:An octal number is a base-eight numeral system that uses digits from 0 to 7. Each digit in an octal number represents a power of 8, starting from the rightmost digit representing 8^0, then 8^1, 8^2, and so on.

Octal Number Example:An example of an octal number is 345. Here, 3 is in the 512s place (8^2), 4 is in the 64s place (8^1), and 5 is in the 8s place (8^0).

Binary Number:A binary number is a base-two numeral system using only two digits: 0 and 1. Each digit in a binary number represents a power of 2, starting from the rightmost digit representing 2^0, then 2^1, 2^2, and so on.

Binary Number Example:An example of a binary number is 110101. Each digit represents a power of 2, with the rightmost digit representing 2^0, the next representing 2^1, and so on.

Conversion Process: Octal to Binary

  1. Convert Each Octal Digit to Binary: Convert each octal digit to its binary equivalent.
  2. Combine Binary Digits: Combine the binary digits obtained from each octal digit to form the final binary number.

Example: Convert Octal 345 to Binary

Octal Number: 345

Convert Each Octal Digit to Binary:
3 (011 in binary)
4 (100 in binary)
5 (101 in binary)

Combine Binary Digits:
011 100 101

Therefore, the binary representation of the octal number 345 is 011100101.

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