Binary to Octal

Binary to Octal Converter

A Binary to Octal Converter is a free online tool used to convert numbers from the binary number system to the octal number system. Binary is a base-2 numeral system, meaning it uses only two distinct digits (0 and 1) to represent numbers, while octal is a base-8 numeral system, which uses eight distinct digits (0-7) to represent numbers.

Converting binary to octal involves grouping the binary digits into sets of three from right to left and then converting each group into its octal equivalent. Here's how you can manually convert binary to octal:

• Group the binary digits from right to left into sets of three, starting from the right. If there are not enough digits to form a group of three at the leftmost end, you can pad with leading zeros.
• Convert each group of three binary digits into its octal equivalent.
• Combine the octal digits to get the final octal representation.

For example, let's convert the binary number 1101101011011011 to octal:

• Group into sets of three (pad with leading zeros if necessary): 001 101 101 011 011 011
• Convert each group to octal:
  • 001 in binary is 1 in octal.
  • 101 in binary is 5 in octal.
  • 101 in binary is 5 in octal.
  • 011 in binary is 3 in octal.
  • 011 in binary is 3 in octal.
  • 011 in binary is 3 in octal.
• Combine the octal digits: 155333

So, the binary number 1101101011011011 is equivalent to the octal number 155333.