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__Binary To Decimal__

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__binary to decimal conversion__

My intention is to show you one way of converting Binary to Decimal. This way worked for me and I see know reason why it will not work for you. I am confident that if you spend 10 minutes reading this you will grasp it in no time. We can convert Binary to Decimal in a similar way as converting Decimal to Binary. I am basing this tutorial on using 8 bit binary, which is the same as the first Octet in an ip address.

We are going to use this binary number for our example.

10101100

1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 |

This binary number is the same as "172" which is Decimal.

10101100 = 172

First start off by creating a table like the one below. 128 64 32 16 8 4 2 1

128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |

You will notice our binary number "10101100" has 8 bits

128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |

Starting from left to right you will now place the first bit of the binary number in to our table like I have in the box below.

128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |

1 |

Then continue to place all the bits in to the box like below.

128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |

1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 |

Now remember this where we have placed a "1" in the box "1" means on or add and "0" means off or ignore.

The first bit we placed in the box was a "1" which was under the box marked "128"

The second bit we placed in the box was a "0" under the box marked "64"

So what I want you to do is this add up all the "1"s

128 + 32 + 8 + 4 = 172

You will have noticed we ignored all the "0"s

We have now worked out our first Octet which is "172"

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