## Binary To Octal

**Binary Number System: **

In math and advanced hardware, a binary number is a number communicated in the binary numeral framework or base-2 numeral framework which addresses numeric qualities utilizing two unique images: ordinarily 0 (zero) and 1 (one). The base-2 framework is a positional documentation with a radix of 2. On account of its direct execution in advanced electronic hardware utilizing rationale doors, the binary framework is utilized inside by practically all cutting edge PCs and PC based gadgets. Every digit is alluded to as a piece.

**Octal Number System: **

The octal numeral framework is the base 8 number framework, and utilizes the digits from 0 to 7. Octal numerals can be produced using binary numerals by gathering continuous binary digits into gatherings of three (beginning from the right).

### Binary To Octal Table ( converter )

Binary Number |
Octal Number |
---|---|

0 | 0 |

1 | 1 |

10 | 2 |

11 | 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 |

100000 | 40 |

1000000 | 100 |

10000000 | 200 |

100000000 | 400 |

**Technique for Binary to Octal Conversion **

The numbers 0 and 1 are called binary number and addressed by base-2 documentations, though, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 are called as octal numbers and addressed by base-8 documentations. The binary to octal transformation should be possible by bits gathering strategy. Follow the beneath steps to learn and rehearse how to perform binary to octal change.

stage 1: Separate the digits of a given binary number into bunches from right to left side, each containing 4 pieces.

stage 2: Add 0’s to one side, if the last gathering doesn’t contain 3 digits.

stage 3: Find the same octal number for each gathering.

stage 4: Write the all gatherings octal numbers together, keeping the gathering control gives the same octal number to the given binary.

Hex | Decimal | Octal | Binary |
---|---|---|---|

0 | 0 | 0 | 0 |

1 | 1 | 1 | 1 |

2 | 2 | 2 | 10 |

3 | 3 | 3 | 11 |

4 | 4 | 4 | 100 |

5 | 5 | 5 | 101 |

6 | 6 | 6 | 110 |

7 | 7 | 7 | 111 |

8 | 8 | 10 | 1000 |

9 | 9 | 11 | 1001 |

A | 10 | 12 | 1010 |

B | 11 | 13 | 1011 |

C | 12 | 14 | 1100 |

D | 13 | 15 | 1101 |

E | 14 | 16 | 1110 |

F | 15 | 17 | 1111 |

10 | 16 | 20 | 10000 |

20 | 32 | 40 | 100000 |

40 | 64 | 100 | 1000000 |

80 | 128 | 200 | 10000000 |

100 | 256 | 400 | 100000000 |

200 | 512 | 1000 | 1000000000 |

400 | 1024 | 2000 | 10000000000 |

### Technique for Octal to Binary Conversion

This transformation should be possible by tracking down the binary comparable for an every digit of the octal number, joining them together in a similar request. The underneath steps may valuable to learn and rehearse how to perform octal to binary transformation.

stage 1: Separate the digits of the given octal number, in the event that it contains more than 1 digit.

stage 2: Find the same binary number for every digit of octal number. Add as numerous 0’s to one side, if any of the binary comparable is more limited than 3 pieces.

stage 3: Write the all gather’s binary numbers, keeping a similar gathering control gives the same binary to the given octal number.

#### Utilizing Grouping

Since, there are just 8 digits (from 0 to 7) in octal number framework, so we can address any digit of octal number framework utilizing just 3 cycle as following underneath.

Octal Value |
Binary Value |

0 | 000 |

1 | 001 |

2 | 010 |

3 | 011 |

4 | 100 |

5 | 101 |

6 | 110 |

7 | 111 |

In this way, on the off chance that you make each gathering of 3 bit of binary information number, supplant each gathering of binary number from its comparable octal digits. That will be octal number of given number. Note that you can add quite a few 0’s in furthest left piece (or in most huge piece) for number part and add quite a few 0’s in furthest right piece (or in least critical piece) for portion part for finishing the gathering of 3 cycle, this doesn’t change worth of information binary number.

In this way, these are following strides to change over a binary number into octal number.

Take binary number

Separation the binary digits into gatherings of three (beginning from ideal) for number part and start from left for portion part.

Convert each gathering of three binary digits to one octal digit.

This is basic calculation where you need to gathered binary number and supplant their comparable octal digit.

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