2's complement number

hello, does anyone know how to find the decimal equivalent of the four-bit two's complement number: 1000

Comments

  • : hello, does anyone know how to find the decimal equivalent of the four-bit two's complement number: 1000
    :

    [green]
    1000= 8

    ~8

    0111= ~8
    +
    0001
    ----
    1000= -8
    [/green]

  • i understand 2's complement, but i do not understand how did you get 8?
  • : i understand 2's complement, but i do not understand how did you get 8?
    :

    [green]

    8 4 2 1
    1 0 0 0

    Largest negative number for 4 bits is -8 while the biggest positive is 7.
    [/green]
  • finally, i get it. thanks for your help
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