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:
Octal(base 8)
Target base(default binary)	2(binary)More base:
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

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
0	0
1	1
2	10
3	11
4	100
5	101
6	110
7	111
10	1000
11	1001
12	1010
13	1011
14	1100
15	1101
16	1110
17	1111
20	10000
50	101000
100	1000000
200	10000000
400	100000000
500	101000000
1000	1000000000

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