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Binary to Octal Converter

Transform binary sequences into octal (base-8) format for concise data representation in embedded systems and digital logic design.

About Binary to Octal Converter

The Binary to Octal Converter is a tool that allows you to convert binary numbers (base-2) to octal numbers (base-8). Binary uses only two digits (0-1), while octal uses eight digits (0-7). This conversion is common in computer science and digital electronics.

How to use this converter:

  1. Enter one or more binary numbers in the input field (separated by spaces)
  2. Click the "Convert to Octal" button or enable auto-processing
  3. View the octal equivalent in the output field

Examples:

  • 111 in binary = 7 in octal
  • 101010 in binary = 52 in octal
  • 11111111 in binary = 377 in octal

How binary to octal conversion works:

The easiest way to convert binary to octal is to group the binary digits into groups of three (starting from the right), and then convert each group to its octal equivalent:

Binary (3 digits)Octal
0000
0011
0102
0113
1004
1015
1106
1117

For example, to convert binary 101010 to octal:

Step 1: Group the binary digits from right to left in groups of three:

101 010

Step 2: Convert each group to its octal equivalent:

101 → 5

010 → 2

Step 3: Combine the octal digits:

5 2

This converter handles multiple binary numbers at once and provides instant conversion results.