# Binary to Octal

## System of binary numbers:

A binary number is a number stated in the binary numeral system or base-2 numeral system, which commonly uses the symbols 0 (zero) and 1 to represent numerical values. Binary numbers are used in mathematics and digital technology (one). A positional notation with a radix of 2, the base-2 system. Almost all current computers and computer-based gadgets employ the binary system internally because to its simple implementation in digital electronic circuits using logic gates. A bit is used to describe each digit.

**Examples:**

- 111110
_{2} - 1111111
_{2}

## System of octal numbers

The base-8 number system known as "oct," or just "oct," employs the digits 0 to 7 to represent numbers. Consecutive binary digits can be grouped into groups of three (beginning with 1) to create octal numerals.

**Examples:**

- 2145
_{8} - 7165
_{8}

## Binary to Octal Conversion

There are several different sorts of numbers in the number system, including binary, octal, decimal, and hexadecimal. The steps listed below can be used to convert binary numbers to octal numbers:

- Consider the following binary number.
- Each digit should be multiplied by 2n-1, where n is the digit's distance from the decimal.
- The outcome is the binary number's corresponding decimal number.
- The decimal number by eight.
- Note the remainder
- Until the quotient is zero, repeat the previous two steps with the quotient.
- Reverse the order of the remaining sentences.
- The outcome is the necessary binary number in octal format.

## Binary to Octal Converter

Our Binary to Octal converter online helps you to easily convert any binary number into octal number.

## Binary to Octal Conversion Table

Binary Numbers |
Octal Numbers |

0 |
0 |

1 |
1 |

10 |
2 |

11 |
3 |

100 |
4 |

101 |
5 |

110 |
6 |

111 |
7 |

1000 |
10 |

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