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Why the Range of Int is less by one at positive side?.........

The range of signed int is - 2^15 to + (2^15 )-1 (-32768 to 32767) Why
the one less at positive Range ? (compared to the negative side..!)
I came to know that it uses 2's compliment internally for storing the
negative numbers . why it uses 2's compliment but not the ones compliment
for storing the negative numbers ?
Nov 14 '05 #1
19 2415
Harshan wrote:
The range of signed int is - 2^15 to + (2^15 )-1 (-32768 to 32767) Why
the one less at positive Range ? (compared to the negative side..!)
because we need to represent the number 'zero' as well.
I came to know that it
What is 'it' ? Are you referring to the implementation.

uses 2's compliment internally for storing the
negative numbers . why it uses 2's compliment but not the ones compliment
for storing the negative numbers ?


This is entirely dependent on the machine / implementation.
And ansi C does not have any say on this.

--
Karthik.
Nov 14 '05 #2
harshan,

it is less by one bcos it takes zero into account when
positive numbers are taken care of. i.e. if u want to have
10 smallest non negative numbers it'll b frm 0 -9 not 1-10.
thats why at the positive range its one less than as expected

Nov 14 '05 #3
On Mon, 24 Jan 2005 15:38:29 +0530, Harshan wrote:
The range of signed int is - 2^15 to + (2^15 )-1 (-32768 to 32767) Why
the one less at positive Range ? (compared to the negative side..!)
I came to know that it uses 2's compliment internally for storing the
negative numbers . why it uses 2's compliment but not the ones compliment
for storing the negative numbers ?


The C language permits a 1's complement or sign-magnitude representation
of signed integers in addition to 2's complement. Your compiler uses 2's
complement almost certainly because that is what the processor it is
targetting uses. Modern processors tend to use 2's complement because it
has some nice properties and can simplify the hardware design (e.g. you
can avoid separate instructions for signed and unsigned addition and
subtraction). An obvious issue with 1's complement and sign-magnitude is
2 separate representations for the number zero.

Lawrence

Nov 14 '05 #4
yes
i think this is coorect because of 2 zeros in 1's compliment . they are
taking 2's compliment for representation of -ve numbers and that consumes
one number for representing zero , but the negative side it is not consuming
the number so it will be 8000 to ffff -ve side and 1 to 7fff +ve
side in hex representation .

but i found that if you exceed the range value the compiler will take wrap
the value , it is somthing circular style.

"Lawrence Kirby" <lk****@netacti ve.co.uk> wrote in message
news:pa******** *************** *****@netactive .co.uk...
On Mon, 24 Jan 2005 15:38:29 +0530, Harshan wrote:
The range of signed int is - 2^15 to + (2^15 )-1 (-32768 to 32767) Why the one less at positive Range ? (compared to the negative side..!)
I came to know that it uses 2's compliment internally for storing the
negative numbers . why it uses 2's compliment but not the ones compliment for storing the negative numbers ?


The C language permits a 1's complement or sign-magnitude representation
of signed integers in addition to 2's complement. Your compiler uses 2's
complement almost certainly because that is what the processor it is
targetting uses. Modern processors tend to use 2's complement because it
has some nice properties and can simplify the hardware design (e.g. you
can avoid separate instructions for signed and unsigned addition and
subtraction). An obvious issue with 1's complement and sign-magnitude is
2 separate representations for the number zero.

Lawrence

Nov 14 '05 #5

"Harshan" <ha***********@ in.bosch.com> wrote in message
news:ct******** **@ns2.fe.inter net.bosch.com.. .
but i found that if you exceed the range value the compiler will take wrap the value , it is somthing circular style.


\The\ compiler does not exist. \Your\ compiler (whatever it is) does.
Probably any HW with 2's complement will result in simular behavior, but in
fact, overflowing a signed integer results in undefined behavior, so do not
count on this behavior. I may be *very* different for another
processor/compiler.

PS. Does anyone know any *modern* processors with anything but 2's
complement encoding of signed integers? I can't remember ever running into
one.
Nov 14 '05 #6

In article <41************ ***********@dre ader4.news.xs4a ll.nl>, "dandelion" <da*******@mead ow.net> writes:

PS. Does anyone know any *modern* processors with anything but 2's
complement encoding of signed integers? I can't remember ever running into
one.


I think some processors still support packed decimal in hardware, but
that's in addition to 2's-complement. Which is good, since p-d isn't
a pure binary representation, so a C implementation on a p-d-only
machine would have to emulate all the integer operations.

--
Michael Wojcik mi************@ microfocus.com

Proverbs for Paranoids, 1: You may never get to touch the Master,
but you can tickle his creatures. -- Thomas Pynchon
Nov 14 '05 #7
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Hash: SHA1

Michael Wojcik wrote:
In article <41************ ***********@dre ader4.news.xs4a ll.nl>, "dandelion" <da*******@mead ow.net> writes:
PS. Does anyone know any *modern* processors with anything but 2's
complement encoding of signed integers? I can't remember ever running into
one.

I think some processors still support packed decimal in hardware,


Yes, the zSeries mainframe (of the System 360/370/390 line) still supports
packed decimal in hardware. Most mainframe languages support these native bcd
datatypes directly in the language.
but
that's in addition to 2's-complement.
IIRC, BCD support on IBM mainframes originally was an option; you could order
the original 'basic' system with binary integer support only, a 'scientific'
system with binary integer and floatingpoint support or a 'business' system with
binary integer and BCD support. The "System 360" changed that by incorporating
both the 'business' and 'scientific' support into one hardware architecture.
Legend has it that the system was named "360" because it was an 'all
encompasing' processor, and the name alluded to the 360 degrees of a complete
circle representing the complete circle of basic, business and scientific computing.

Which is good, since p-d isn't
a pure binary representation, so a C implementation on a p-d-only
machine would have to emulate all the integer operations.

- --
Lew Pitcher
IT Consultant, Enterprise Data Systems,
Enterprise Technology Solutions, TD Bank Financial Group

(Opinions expressed are my own, not my employers')
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Nov 14 '05 #8
"Harshan" <ha***********@ in.bosch.com> wrote in message
news:ct******** **@ns2.fe.inter net.bosch.com.. .
The range of signed int is - 2^15 to + (2^15 )-1 (-32768 to 32767)
It might be for your implementation, but the range required by
the C standard is -32767 through 32767 inclusive (but an implementation
is allowed to provide a larger range.

Why
the one less at positive Range ? (compared to the negative side..!)
Because apparently your implementation takes advantage of its
specific representation for integers.

I came to know that it uses 2's compliment internally for storing the
negative numbers . why it uses 2's compliment but not the ones compliment
for storing the negative numbers ?


Because that's what its authors decided to do. The language
standard allows one's complement, two's complement, or
signed magnitude.
-Mike
Nov 14 '05 #9
Mike Wahler wrote:
"Harshan" <ha***********@ in.bosch.com> wrote in message
news:ct******** **@ns2.fe.inter net.bosch.com.. .
The range of signed int is - 2^15 to + (2^15 )-1 (-32768 to 32767)

It might be for your implementation, but the range required by
the C standard is -32767 through 32767 inclusive (but an implementation
is allowed to provide a larger range.
Why
the one less at positive Range ? (compared to the negative side..!)

Because apparently your implementation takes advantage of its
specific representation for integers.

I came to know that it uses 2's compliment internally for storing the
negative numbers . why it uses 2's compliment but not the ones compliment
for storing the negative numbers ?

Because that's what its authors decided to do. The language
standard allows one's complement, two's complement, or
signed magnitude.
-Mike

It's what the authors of the CPU's accumulator decided to do.

--
Joe Wright mailto:jo****** **@comcast.net
"Everything should be made as simple as possible, but not simpler."
--- Albert Einstein ---
Nov 14 '05 #10

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