I was wondering why 1000 in signed 4-bit binary notation is equal to -8 in decimal. From my understanding, the 1 simply states that sign (1 being negative and 0 being positive) it has no real decimal value. I have read that it is not possible to correctly take the 2's complement of -8 so I cannot come to convince myself that 1000 is in fact -8 in binary.(adsbygoogle = window.adsbygoogle || []).push({});

Thanks for the help!

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Why is 1000 = -8 in signed 4-bit binary?

Loading...

Similar Threads - signed binary | Date |
---|---|

A block diagram reduction [sign error] | Jan 19, 2017 |

Bending moment on multi beam sign post | Oct 29, 2015 |

What determines the sign/direction of shear stress? | Oct 17, 2015 |

Binary (BCD) to 2 out of 5 converter | Aug 3, 2015 |

Large Sign. Need help calculating pipe size. | Dec 10, 2013 |

**Physics Forums - The Fusion of Science and Community**