Binary to Octal Converter

What is the Binary to Octal Converter Tool?

The Binary to Octal Converter Tool is a specialized calculator designed to convert binary numbers (base 2) to octal numbers (base 8). This tool simplifies the conversion process, making it quick and accurate for various applications, especially in computing and digital electronics.

Also check out our similar tool: Octal to Binary converter.

How to Convert Binary To Octal

The binary to octal conversion involves converting a binary number, which uses digits 0 and 1, into an octal number, which uses digits from 0 to 7. To convert binary to octal, follow these steps:

1. Group: Start by grouping the binary digits into sets of three, beginning from the right. If the number of binary digits is not a multiple of three, add leading zeros to make it so.
2. Convert: Convert each group of three binary digits into the equivalent octal digit.
3. Combine: Combine the octal digits to get the final octal number.

For example, the binary number 110101 would be grouped as 110 101, and then converted to the octal number 65.

Understanding Binary and Octal Numbers

Binary and octal numbers are two different number systems widely used in computing and digital electronics.

Binary Numbers (Base 2): Binary numbers operate on a base 2 system, using only two digits: 0 and 1. Each digit in a binary number is referred to as a bit. Binary numbers are fundamental to the operation of modern computers, as they represent the two possible states of a digital circuit: on (1) and off (0). For example, the binary number 1101 represents the decimal number 13. Binary numbers are efficient for computer processing but can become lengthy for representing large values.

Octal Numbers (Base 8): Octal numbers use a base 8 system, which employs digits from 0 to 7. This system is simpler than binary for human readability while still closely relating to binary numbers. Each octal digit corresponds to a group of three binary digits. For example, the binary number 110101 translates to the octal number 65. Octal numbers are often used in digital systems to simplify the representation of binary-coded data.

Binary to Octal Conversion Table

Binary	Octal
000	0
001	1
010	2
011	3
100	4
101	5
110	6
111	7
1000	10
1001	11
1010	12
1011	13
1100	14
1101	15
1110	16
1111	17
10000	20
10001	21
10010	22
10011	23
10100	24
10101	25
10110	26
10111	27
11000	30
11001	31
11010	32
11011	33
11100	34
11101	35
11110	36
11111	37