if hexadecimal number FF16 represent a signed number in one's compliments, what the decimal representation of...

if hexadecimal number FF16 represent a signed number in one's compliments, what the decimal representation of that number? include the sign for that number with no spaces between the number and sign. for example -3 or +3

Expert Solution

FF₁₆

Answer:   -0

Explanation:
-------------
Let's first convert FF to binary
Hexadecimal     Binary
    0           0000
    1           0001
    2           0010
    3           0011
    4           0100
    5           0101
    6           0110
    7           0111
    8           1000
    9           1001
    A           1010
    B           1011
    C           1100
    D           1101
    E           1110
    F           1111
Use this table to convert from hexadecimal to binary
Converting FF to binary
F => 1111
F => 1111
So, in binary FF is 11111111

Now, let's convert 11111111 to one's complement decimal
since left most bit is 1, this number is negative number.
so, follow these steps below to convert this into a decimal value.
I. first flip all the bits. Flip all 0's to 1 and all 1's to 0.
   11111111 is flipped to 00000000
II. Now convert this result to decimal value
00000000 in decimal is 0.
It's indicated that this is a negative number.

Answer: -0

venereology answered 7 months ago

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