AI Calculator Tool

Binary to Octal Converter

Convert binary to octal: group bits in threes from the right, map each group to 0–7. Free programmer base-2 to base-8 tool.

How to Convert Binary to Octal

Pad binary to multiple of 3 bits, group in threes, convert each group to one octal digit.

Group binary in 3-bit chunks from the right; each group is one octal digit (0–7).

101011₂ → 101 | 011 → 53₈.

Fast because 8 = 2³—no multiplication table needed.

Compact binary display. The table and FAQ on this page walk through the factor if you need it.

Conversion Examples

Example: 101011 to octal

  1. 101 | 011 → 5 | 3

53 octal

Pad left if needed.

Example: 111111 to octal

  1. 111 | 111 → 7 | 7

77 octal

Six bits = two octal digits.

Common Use Cases

  • Compact binary display.
  • CS homework and exams.
  • Understanding bit grouping.
  • Legacy octal I/O formats.

Frequently Asked Questions

How do you convert binary to octal?

Group bits in threes from the right; each 3-bit group is one octal digit.

Why groups of three?

8 = 2³, so one octal digit equals exactly 3 binary bits.

1010 binary in octal?

Pad to 001 010 → 12 octal.