When converting binary the easiest way is to write out a vertical list in a format like below and follow the formula in the table.

**Example Convert 1101 1111 to decimal.**

**Step 1.)**

Write out the binary below in vertical form (leave lots of space on the left side).

Keep this in mind that the "previous sum" starts at 0 on your first line.

**Step 2.)**

**Formula:**

2 * **Previous Sum** + **Binary Number** = **Current Total**

*Write out each line in order from top to bottom of 1101 1111 in the same format and perform the calculations below.
*

Note that we alway use 0 for the previous sum.

2 |
* |
Previous Sum |
+ |
Binary Value |
= |
Current Total |

2 | * | 0 | + | 1 | = | 1 |

`2` |
* | 1 | + | 1 | = | 3 |

2 | * | 3 | + | 0 | = | 6 |

2 | * | 6 | + | 1 | = | 13 |

2 | * | 13 | + | 1 | = | 27 |

2 | * | 27 | + | 1 | = | 55 |

2 | * | 55 | + | 1 | = | 111 |

2 | * | 111 | + | 1 | = | 223 |

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