That is ambiguous, in the general case.

Practically speaking, however, it's defined by context.  If the data
is "signed" the most significant bit is a "negative bit".  If the data
is "unsigned" the most significant bit is a "binary digit".

That said, some operations are useful regardless of this distinction
(which was the motivation for using this representation).  For
example, if you have implemented addition, you can use the same
addition implementation for both "signed" and "unsigned" data.  The
mechanics are the same, only the symbolism differs.

-- 
Raul

On Thu, Dec 29, 2011 at 11:00 PM, Linda Alvord <lindaalv...@verizon.net> wrote:
>   How can you tell when the leading digit is a "negative bit"  or a "binary
> digit"?
>
>  In the situation above the same number can represent two different binary
> numbers. If  1 1 0 1 is sometimes  13  or might be   _5  when is each
> appropriate?v. Isn't that the source of some problems?
>
> The spaces indicate that the number is probably a single binary number, but
> it could be a list of true and false indicators. You would need to know the
> context to determine the difference.
>
> Linda
>
> -----Original Message-----
> From: programming-boun...@jsoftware.com
> [mailto:programming-boun...@jsoftware.com] On Behalf Of Kip Murray
> Sent: Thursday, December 29, 2011 8:25 PM
> To: Programming forum
> Subject: Re: [Jprogramming] How #: should have been designed
>
>
>    tcrRaul }: i:4
> 1 0 0
> 1 0 1
> 1 1 0
> 1 1 1
> 0 0 0
> 0 0 1
> 0 1 0
> 0 1 1
>
>    tcrRandy }: i:4
> 1 1 0 0
> 1 1 0 1
> 1 1 1 0
> 1 1 1 1
> 0 0 0 0
> 0 0 0 1
> 0 0 1 0
> 0 0 1 1
>
>    tcrRaul
> {.@#:@(,: (2 * >./@,))
>
>    tcrRandy
> (0 > ]) ,"0 1 #:
>
>
> On 12/29/2011 8:41 AM, Randy MacDonald wrote:
>> On 12/8/2011 4:39 PM, Raul Miller wrote:
>>> {.@#:@(,: 2 *>./@,)i:2
>> ((0>]),"0 1#:) i:2   NB. seems to work just as well, and more obviously
>> handles the sign bit.
>>
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