# Converter of signed binary numbers: converting to decimal system integers (base ten)

## Convert signed binary numbers to integers in decimal system (base 10)

#### The first bit (the leftmost) is reserved for the sign, 1 = negative, 0 = positive. This bit does not count when calculating the absolute value.

#### Entered binary number length must be: 2, 4, 8, 16, 32, or 64 - otherwise extra bits on 0 will be added in front (to the left).

### How to convert a signed binary number to an integer in base ten:

#### 1) Construct the unsigned binary number: exclude the first bit (the leftmost); this bit is reserved for the sign, 1 = negative, 0 = positive and does not count when calculating the absolute value (without sign).

#### 2) Multiply each bit of the binary number by its corresponding power of 2 that its place value represents.

#### 3) Add all the terms up to get the positive integer number in base ten.

#### 4) Adjust the sign of the integer number by the first bit of the initial binary number.

## Latest signed binary numbers converted to signed integers in decimal system (base ten)

** 1110 0110 0101 1110 converted from: signed binary, to signed integer = -26,206 ** | * May 29 15:44 UTC (GMT)* |

** 1000 0000 0000 0001 1110 0010 0100 1011 converted from: signed binary, to signed integer = -123,467 ** | * May 29 15:43 UTC (GMT)* |

** 0000 0000 0000 0000 0000 0000 0000 0000 0101 0001 0010 0001 0000 1101 0001 0101 converted from: signed binary, to signed integer = 1,361,120,533 ** | * May 29 15:41 UTC (GMT)* |

** 0000 0000 0000 0000 0001 0011 0111 1010 converted from: signed binary, to signed integer = 4,986 ** | * May 29 15:41 UTC (GMT)* |

** 0000 0000 0101 0100 0101 0100 0100 0000 0101 0100 0101 0100 0101 0100 0100 0101 converted from: signed binary, to signed integer = 23,736,533,313,147,973 ** | * May 29 15:41 UTC (GMT)* |

** 1101 1111 1011 1110 0100 0011 1111 1001 converted from: signed binary, to signed integer = -1,606,304,761 ** | * May 29 15:41 UTC (GMT)* |

** 0000 0000 0000 0000 0000 0000 0010 1011 1111 1010 1011 1010 1010 1111 0110 1101 converted from: signed binary, to signed integer = 188,890,132,333 ** | * May 29 15:40 UTC (GMT)* |

** 0000 0000 0000 0000 0000 0010 0000 0000 0000 0000 0000 0000 0000 0000 0000 0110 converted from: signed binary, to signed integer = 2,199,023,255,558 ** | * May 29 15:40 UTC (GMT)* |

** 1001 0001 0001 0001 0001 0001 0001 0001 0001 0001 0001 0001 0001 0001 0001 0111 converted from: signed binary, to signed integer = -1,229,782,938,247,303,447 ** | * May 29 15:40 UTC (GMT)* |

** 1111 1111 1111 1111 1111 1111 1111 1111 1111 0100 1100 1100 0101 0001 1101 0110 converted from: signed binary, to signed integer = -9,223,372,036,666,839,510 ** | * May 29 15:40 UTC (GMT)* |

** 0000 0000 0000 0000 0000 0000 0000 0000 1000 0101 1001 0101 0000 0000 0000 1011 converted from: signed binary, to signed integer = 2,241,134,603 ** | * May 29 15:40 UTC (GMT)* |

** 0000 0000 1100 1111 0101 1111 0110 1110 converted from: signed binary, to signed integer = 13,590,382 ** | * May 29 15:39 UTC (GMT)* |

** 0011 0101 converted from: signed binary, to signed integer = 53 ** | * May 29 15:38 UTC (GMT)* |

** All the converted signed binary numbers to integers in base ten ** |

## How to convert signed binary numbers from binary system to decimal (base ten)

### To understand how to convert a signed binary number from binary system to decimal (base ten), the easiest way is to do it through an example - convert the binary number, 1001 1110, to base ten: