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Table of Contents

Octal refers to the base-8 numbering system. An octal number system consists of eight single-digit numbers: 0, 1, 2, 3, 4, 5, 6, and 7. The number after 7 is 10. The number after 17 is 20 and so forth.

In computing environments, it is commonly used as a shorter representation of binary numbers by grouping binary digits into threes. The chmod command in Linux or UNIX uses octal to assign file permissions.

The binary numeric scheme, or the base-2 system, contains two symbols, 0 and 1 as a numeric values. In particular, a positional notation with a radix of 2 is the usual base 2 system. Thanks to the easy implementation of the binary system in digital electronic circuitry with logic doors, all modern computers use binary numeric system internally.

In principle, the Octal Number System is similar to the hexadecimal numbering system but in Octal a binary number is divided into three-bit groups with a separate bit value between 000 (0) and 111 (4 + 2 +1= 7) in each set or group in which bits are given.

Therefore, octal numbers have a range of only "8" numbers that makes them a basic 8 numbering system (0, 1, 2, 3, 4, 5, 6, 7), which means that q is equal to "8."

Then the main feature of an octal numbering system is that only 8 different numbers from 0 to 7 with a single digit, starting from the least significant bit (LSB), have a power or value of only 8 numbers. Octal numbers were very popular during the earlier days of computing inputs and outputs since inputs and outputs were counted in counts of 8, a byte at a time.

Because the base of a system of octal numbers is 8 (base-8), which also represents the number of individuals used in the system, subscript 8 is used to identify an octal number. An octal number, for example, is given as: 523_{8}

Just as the hexadecimal system, the "octal number system" allows large binary numbers to be converted into smaller and more compact groups. In this day and age however, the octal numbering system is less common than the popular hexadecimal numbering system and nearly disappeared as a digital base number system.

Octal | 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 |

As octal numbers has no numbers or letters above 8 that are used with just eight digits (0 to 7), but the transformation from decimal to octal and binary to octal follows the same model as for hexadecimal.

There are several methods for octal to binary conversion, direct or indirect. You can convert octal into other numeric systems (e.g. binary, decimal or hexadecimal) by using an indirect method, converting each digit from hexadecimal system into a binary number and using the decimal to binary number conversion system.

However, the easiest way to convert octal to binary is using octal to binary converter. Octal to binary converter is the answer of the biggest problem i.e., how to convert octal to binary?

Similarly, Prepostseo also offers multiple conversion tools like binary to octal, decimal to octal, octal to decimal, decimal to binary, hex to binary, binary to hex, decimal to hex, hex to decimal, hex to octal, binary to decimal and text to binary.

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