# Octal to binary

This converter can convert octal number to binary very quickly, just type your octal number. e.g. you enter '77' you will get '111111'. Negative and floating point numbers are supported. At the same time, you can also choose any conversion between binary to base 36. Binary to octal

 Base(default Octal) 8(octal) More base: 2(binary)345678(octal)910 (decimal)111213141516(hexadecimal)1718192021222324252627282930313233343536 Octal(base 8) Target base(default binary) 2(binary)More base: 2345678(octal)910(decimal)111213141516(Hexadecimal)1718192021222324252627282930313233343536 Conversion result

## Knowledge of converter

The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Octal numerals can be made from binary numerals by grouping consecutive binary digits into groups of three (starting from the right). For example, the binary representation for decimal 74 is 1001010. Two zeroes can be added at the left: (00)1 001 010, corresponding the octal digits 1 1 2, yielding the octal representation 112.

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).

The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices.

## How to convert octal to binary

1. Rules: In order, each 1-digit octal number is rewritten into an equivalent 3-bit binary number, in the same order.

## Example

Example 1

Convert octal number 17.36 to binary

17.368 = (001 111 .011 110)2 = 1111.011112

Example 2

Convert octal number 2653 to binary

26538 = (010 110 101 011)2=101101010112

## Octal to binary conversion table

Octal(base 8)Binary
00
11
210
311
4100
5101
6110
7111
101000
111001
121010
131011
141100
151101
161110
171111
2010000
50101000
1001000000
20010000000
400100000000
500101000000
10001000000000