On 11/19/2013 09:20 PM, Sieghard wrote:
>
>> Yep. The highest order bit in a number in the "2's complement" encoding
>> is the sign bit.
> Ok, let's look at it this way. Then, what's the value of this lone sign bit?
This is obvious.

Take a look at the predecessor of zero as done by the algorithm any 
(modern) ALU does

with eight bits:
00000000 -> 11111111 : interpreted as signed: 0 -> -1, interpreted as 
unsigned 0 -> 255 (=2^8-1)

with two bits:
00 -> 11 : interpreted as signed: 0 -> -1, interpreted as unsigned 0 -> 
3 (=2^2-1)

with one bits:
0 -> 1 : interpreted as signed: 0 -> -1, interpreted as unsigned 0 -> 1 
(=2^1-1 )

-Michael

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