# How to manually convert an IP address to binary

**For IP Address: 182.167.10.48** the complete binary value is:

**10110110.10100111.00001010.00110000**

Each decimal number in an IP address is represented at a binary octet (8 binary digits). Using the table below for each decimal in the IP address complete the following steps:

**Step 1:** Start by writing the first number in the IP address (182) in the Decimal column. Divide the Decimal value (182) by 2. Write the dividend (91) in the /2 column. If 2 divides evenly into the first number (i.e., there is no remainder) write a 0 in the Remainder column.

**Step 2:** Write the dividend from the first row (91) in the Decimal column of the next row. Divide the Decimal value (91) by 2. Write the dividend (45) in the /2 column. Here, there is a remainder of 1. Write a 1 in the Remainder column.

**Step 3:** Continue this process until you reach the last decimal value.

**Step 4:** Order the Remainder’s from bottom to top. The binary code for the number **182** is **10110110**.

Decimal |
/2 |
Remainder |

182 | 91 | 0 |

91 | 45 | 1 |

45 | 22 | 1 |

22 | 11 | 0 |

11 | 5 | 1 |

5 | 2 | 1 |

2 | 1 | 0 |

1 | 0 | 1 |

Repeat this process for each decimal number in the IP address.

IP Address: 182.** 167**.10.48

The binary code for **167** is **10100111**.

Decimal |
/2 |
Remainder |

167 | 83 | 1 |

83 | 41 | 1 |

41 | 20 | 1 |

20 | 10 | 0 |

10 | 5 | 0 |

5 | 2 | 1 |

2 | 1 | 0 |

1 | 0 | 1 |

IP Address: 182.167.** 10**.48

The binary code for **10** is **00001010**.

Note using the table to identify the binary number for 10 only results in 4 numbers in the Remainder column. In the event that the Remainder column contains less than 8 digits, fill in the remaining place values in the octet with 0’s. These 0’s should precede the digits in the Remainder column. Here fill in four 0’s prior to the Remainder digits 1010.

Decimal |
/2 |
Remainder |

10 | 5 | 0 |

5 | 2 | 1 |

2 | 1 | 0 |

1 | 0 | 1 |

IP Address: 182.167.10.__48__

The binary code for **48** is **00110000**.

Note here fill in two 0’s before the Remainder digits 110000.

Decimal |
/2 |
Remainder |

48 | 24 | 0 |

24 | 12 | 0 |

12 | 6 | 0 |

6 | 3 | 0 |

3 | 1 | 1 |

1 | 0 | 1 |

The complete binary value for the IP address **182.167.10.48** is:

**10110110.10100111.00001010.00110000**