Binary to Octal Converter

The Binary to Octal Converter is a tool designed to convert binary numbers (base 2) to their corresponding octal representation (base 8). This calculator is particularly useful for computer science and digital systems applications where compact number representation is needed.

What is Binary to Octal Conversion?

Binary to Octal conversion is the process of translating a sequence of binary digits (0s and 1s) into their equivalent octal digits (0-7). This conversion is straightforward because octal is a base-8 system, which means each octal digit represents exactly three binary digits.

Conversion Method

To convert a binary number to octal:

1. Group the binary digits into sets of three, starting from the right.
2. If the leftmost group has fewer than three digits, pad it with leading zeros.
3. Convert each group of three binary digits to its octal equivalent (0-7).

Conversion Table

Example with Visual Representation

Let's visualize the conversion of 1101001 (binary) to its octal equivalent:

This visual representation illustrates how we group the binary digits into sets of three and convert each group to its octal equivalent. The resulting octal number is read from left to right.