@sunny... yeah sorry, m stupid..:)
thanx

On Tue, Jun 14, 2011 at 10:52 AM, sunny agrawal <sunny816.i...@gmail.com>wrote:

> @tech rascal
>
> 10 = 01010
> 20 = 10100
> ------------------
> xor = 11110
> = 30
> why r u getting 1 ??
>
>
> On Tue, Jun 14, 2011 at 2:28 AM, Supraja Jayakumar <
> suprajasank...@gmail.com> wrote:
>
>> @Wladimir:
>> Can you kindly explain the overflow and underflow you mentioned.
>>
>> Thanks
>> Supraja J
>>
>> On Fri, Jun 10, 2011 at 9:58 PM, Wladimir Tavares 
>> <wladimir...@gmail.com>wrote:
>>
>>> Swapping two variables without using a temporary variable using the +
>>> and -:
>>>
>>> x = a;
>>> y = b;
>>>
>>> x = x + y / / x = a + b;
>>> y = x - y / / y = a + b-b = a;
>>> x = x - y / / x = a + b-a = b;
>>>
>>> y = b;
>>> x = a;
>>>
>>> Problems with this approach:
>>> 1) It can cause overflow in the operation (+)
>>> 2) It can cause underflow on operation (-)
>>>
>>> Swapping two variables without using variables
>>> Temporary using XOR:
>>>
>>> x = a;
>>> y = b;
>>>
>>> x = x ^ y;
>>> y = x ^ y / / y = (x xor y) xor y = x xor (y xor y) xor x = 0 = x
>>> x = x ^ y / / x = (x xor y) xor x = (x xor y) xor y xor x = (x xor x) =
>>> y xor y = 0
>>>
>>> Note that we use some properties of XOR:
>>>
>>> 1) Associativity
>>> 2) Commutativity
>>> 3) X = X 0 XOR
>>>
>>> We have no problems neither underflow nor overflow!
>>>
>>> Wladimir Araujo Tavares
>>> *Federal University of CearĂ¡
>>>
>>> *
>>>
>>>
>>>
>>>
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>>
>>
>>
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>>
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>
>
>
> --
> Sunny Aggrawal
> B-Tech IV year,CSI
> Indian Institute Of Technology,Roorkee
>
>
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