BinaryConverter

Binary to Octal Converter

Convert binary to octal instantly — type on the left and the result appears on the right. Everything runs in your browser, nothing is uploaded.

How to convert binary to octal

Octal groups binary into threes rather than fours, because 8 is 2 to the 3rd power. It is an older shorthand for binary, still seen in Unix file permissions.

Method: 3 bits map to one octal digit, so you just group and swap.

  1. Group into 3 bitsSplit the binary into groups of three bits, starting from the right.
  2. Pad the last groupAdd leading zeros if the leftmost group is short.
  3. Swap each group for an octal digit000 = 0 up to 111 = 7. Read the octal digits in order.

Examples 11010 = 3211111111 = 377

Binary to Octal Table

Common binary values with their octal equivalents.

Binary to Octal conversion table
BinaryOctal
00
11
102
113
1004
1015
1106
1117
100010
100111
101012
101113
110014
110115
111016
111117
1000020
1010024
10000040
11001062
1000000100
1100100144
10000000200
11111111377
100000000400
10000000001000
11111010001750

Frequently asked questions

How do you convert binary to octal?

Split the binary into groups of three bits from the right, pad the last group with zeros, then replace each group with its octal digit (000 = 0 … 111 = 7). So 110101 = 65.

Why groups of three for octal?

Because 8 equals 2 to the 3rd power, so three bits map to exactly one octal digit.

What is 111 in octal?

111 in binary is 7 in octal — the largest single octal digit.