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Invert bits of binary representation of number


Bit-twiddling for a custom image formatFinding patterns in a growing collectionMissing element from array (D&C) - code design/aesthetic improvementRotation of elements in an arrayByte array to floating point such as FPE2 in JavaBitfield class and Register depictionSieve of Eratosthenes for small limitsFind the longest length of sequence of 1-bits achievable by flipping a single bit from 0 to 1 in a numberChange Arithmetic Right Shift to Logical Right Shift






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








3












$begingroup$


This is the code I came up with.



I added comments to make the solution more verbose.



int findComplement(int num) 
// b is the answer which will be returned
int b = 0;

// One bit will be taken at a time from num, will be inverted and stored in n for adding to result
int n = 0;

// k will be used to shift bit to be inserted in correct position
int k = 0;

while(num)
// Invert bit of current number
n = !(num & 1);

// Shift the given number one bit right to accesss next bit in next iteration
num = num >>1 ;

// Add the inverted bit after shifting
b = b + (n<<k);

// Increment the number by which to shift next bit
k++;

return b;



Is there any redundant statment in my code which can be removed? Or any other better logic to invert bits of a given integer










share|improve this question









$endgroup$









  • 2




    $begingroup$
    Are you re-inventing the binary not operator (~)?
    $endgroup$
    – Martin R
    8 hours ago










  • $begingroup$
    I don't want to sound dumb, But honestly, I did not know that ~ operator existed which inverts all bits of a given integer.
    $endgroup$
    – KshitijV97
    7 hours ago






  • 1




    $begingroup$
    Many easy ways. ~num or -1 - num, or 0xFFFFFFFF - num, or 0xFFFFFFFF ^ num or (-1) ^ num. Doing it one bit at a time is most definitely the hard way.
    $endgroup$
    – AJNeufeld
    6 hours ago

















3












$begingroup$


This is the code I came up with.



I added comments to make the solution more verbose.



int findComplement(int num) 
// b is the answer which will be returned
int b = 0;

// One bit will be taken at a time from num, will be inverted and stored in n for adding to result
int n = 0;

// k will be used to shift bit to be inserted in correct position
int k = 0;

while(num)
// Invert bit of current number
n = !(num & 1);

// Shift the given number one bit right to accesss next bit in next iteration
num = num >>1 ;

// Add the inverted bit after shifting
b = b + (n<<k);

// Increment the number by which to shift next bit
k++;

return b;



Is there any redundant statment in my code which can be removed? Or any other better logic to invert bits of a given integer










share|improve this question









$endgroup$









  • 2




    $begingroup$
    Are you re-inventing the binary not operator (~)?
    $endgroup$
    – Martin R
    8 hours ago










  • $begingroup$
    I don't want to sound dumb, But honestly, I did not know that ~ operator existed which inverts all bits of a given integer.
    $endgroup$
    – KshitijV97
    7 hours ago






  • 1




    $begingroup$
    Many easy ways. ~num or -1 - num, or 0xFFFFFFFF - num, or 0xFFFFFFFF ^ num or (-1) ^ num. Doing it one bit at a time is most definitely the hard way.
    $endgroup$
    – AJNeufeld
    6 hours ago













3












3








3





$begingroup$


This is the code I came up with.



I added comments to make the solution more verbose.



int findComplement(int num) 
// b is the answer which will be returned
int b = 0;

// One bit will be taken at a time from num, will be inverted and stored in n for adding to result
int n = 0;

// k will be used to shift bit to be inserted in correct position
int k = 0;

while(num)
// Invert bit of current number
n = !(num & 1);

// Shift the given number one bit right to accesss next bit in next iteration
num = num >>1 ;

// Add the inverted bit after shifting
b = b + (n<<k);

// Increment the number by which to shift next bit
k++;

return b;



Is there any redundant statment in my code which can be removed? Or any other better logic to invert bits of a given integer










share|improve this question









$endgroup$




This is the code I came up with.



I added comments to make the solution more verbose.



int findComplement(int num) 
// b is the answer which will be returned
int b = 0;

// One bit will be taken at a time from num, will be inverted and stored in n for adding to result
int n = 0;

// k will be used to shift bit to be inserted in correct position
int k = 0;

while(num)
// Invert bit of current number
n = !(num & 1);

// Shift the given number one bit right to accesss next bit in next iteration
num = num >>1 ;

// Add the inverted bit after shifting
b = b + (n<<k);

// Increment the number by which to shift next bit
k++;

return b;



Is there any redundant statment in my code which can be removed? Or any other better logic to invert bits of a given integer







c++ mathematics bitwise






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked 8 hours ago









KshitijV97KshitijV97

806 bronze badges




806 bronze badges










  • 2




    $begingroup$
    Are you re-inventing the binary not operator (~)?
    $endgroup$
    – Martin R
    8 hours ago










  • $begingroup$
    I don't want to sound dumb, But honestly, I did not know that ~ operator existed which inverts all bits of a given integer.
    $endgroup$
    – KshitijV97
    7 hours ago






  • 1




    $begingroup$
    Many easy ways. ~num or -1 - num, or 0xFFFFFFFF - num, or 0xFFFFFFFF ^ num or (-1) ^ num. Doing it one bit at a time is most definitely the hard way.
    $endgroup$
    – AJNeufeld
    6 hours ago












  • 2




    $begingroup$
    Are you re-inventing the binary not operator (~)?
    $endgroup$
    – Martin R
    8 hours ago










  • $begingroup$
    I don't want to sound dumb, But honestly, I did not know that ~ operator existed which inverts all bits of a given integer.
    $endgroup$
    – KshitijV97
    7 hours ago






  • 1




    $begingroup$
    Many easy ways. ~num or -1 - num, or 0xFFFFFFFF - num, or 0xFFFFFFFF ^ num or (-1) ^ num. Doing it one bit at a time is most definitely the hard way.
    $endgroup$
    – AJNeufeld
    6 hours ago







2




2




$begingroup$
Are you re-inventing the binary not operator (~)?
$endgroup$
– Martin R
8 hours ago




$begingroup$
Are you re-inventing the binary not operator (~)?
$endgroup$
– Martin R
8 hours ago












$begingroup$
I don't want to sound dumb, But honestly, I did not know that ~ operator existed which inverts all bits of a given integer.
$endgroup$
– KshitijV97
7 hours ago




$begingroup$
I don't want to sound dumb, But honestly, I did not know that ~ operator existed which inverts all bits of a given integer.
$endgroup$
– KshitijV97
7 hours ago




1




1




$begingroup$
Many easy ways. ~num or -1 - num, or 0xFFFFFFFF - num, or 0xFFFFFFFF ^ num or (-1) ^ num. Doing it one bit at a time is most definitely the hard way.
$endgroup$
– AJNeufeld
6 hours ago




$begingroup$
Many easy ways. ~num or -1 - num, or 0xFFFFFFFF - num, or 0xFFFFFFFF ^ num or (-1) ^ num. Doing it one bit at a time is most definitely the hard way.
$endgroup$
– AJNeufeld
6 hours ago










1 Answer
1






active

oldest

votes


















2












$begingroup$

int n = 0; This initialization is not used. It could simply be int n;, or could be int n = !(num & 1); inside the loop, to restrict the scope of n.




This loop:



int k = 0;
while (num)
...
k++;



could be written as:



for(int k = 0; num; k++) 
...




Since you are doing bit manipulation, instead of using addition, you should probably use a “binary or” operation to merge the bit into your accumulator:



 b = b | (n << k);


or simply:



 b |= n << k;



Bug



You are not inverting the most significant zero bits. Assuming an 8-bit word size, the binary compliment of 9 (0b00001001) should be 0b11110110, not 0b00000110. And the compliment of that should return to the original number (0b00001001), but instead yields 0b00000001.




And, as mentioned by @Martin R, you could simply return ~num;






share|improve this answer









$endgroup$

















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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    2












    $begingroup$

    int n = 0; This initialization is not used. It could simply be int n;, or could be int n = !(num & 1); inside the loop, to restrict the scope of n.




    This loop:



    int k = 0;
    while (num)
    ...
    k++;



    could be written as:



    for(int k = 0; num; k++) 
    ...




    Since you are doing bit manipulation, instead of using addition, you should probably use a “binary or” operation to merge the bit into your accumulator:



     b = b | (n << k);


    or simply:



     b |= n << k;



    Bug



    You are not inverting the most significant zero bits. Assuming an 8-bit word size, the binary compliment of 9 (0b00001001) should be 0b11110110, not 0b00000110. And the compliment of that should return to the original number (0b00001001), but instead yields 0b00000001.




    And, as mentioned by @Martin R, you could simply return ~num;






    share|improve this answer









    $endgroup$



















      2












      $begingroup$

      int n = 0; This initialization is not used. It could simply be int n;, or could be int n = !(num & 1); inside the loop, to restrict the scope of n.




      This loop:



      int k = 0;
      while (num)
      ...
      k++;



      could be written as:



      for(int k = 0; num; k++) 
      ...




      Since you are doing bit manipulation, instead of using addition, you should probably use a “binary or” operation to merge the bit into your accumulator:



       b = b | (n << k);


      or simply:



       b |= n << k;



      Bug



      You are not inverting the most significant zero bits. Assuming an 8-bit word size, the binary compliment of 9 (0b00001001) should be 0b11110110, not 0b00000110. And the compliment of that should return to the original number (0b00001001), but instead yields 0b00000001.




      And, as mentioned by @Martin R, you could simply return ~num;






      share|improve this answer









      $endgroup$

















        2












        2








        2





        $begingroup$

        int n = 0; This initialization is not used. It could simply be int n;, or could be int n = !(num & 1); inside the loop, to restrict the scope of n.




        This loop:



        int k = 0;
        while (num)
        ...
        k++;



        could be written as:



        for(int k = 0; num; k++) 
        ...




        Since you are doing bit manipulation, instead of using addition, you should probably use a “binary or” operation to merge the bit into your accumulator:



         b = b | (n << k);


        or simply:



         b |= n << k;



        Bug



        You are not inverting the most significant zero bits. Assuming an 8-bit word size, the binary compliment of 9 (0b00001001) should be 0b11110110, not 0b00000110. And the compliment of that should return to the original number (0b00001001), but instead yields 0b00000001.




        And, as mentioned by @Martin R, you could simply return ~num;






        share|improve this answer









        $endgroup$



        int n = 0; This initialization is not used. It could simply be int n;, or could be int n = !(num & 1); inside the loop, to restrict the scope of n.




        This loop:



        int k = 0;
        while (num)
        ...
        k++;



        could be written as:



        for(int k = 0; num; k++) 
        ...




        Since you are doing bit manipulation, instead of using addition, you should probably use a “binary or” operation to merge the bit into your accumulator:



         b = b | (n << k);


        or simply:



         b |= n << k;



        Bug



        You are not inverting the most significant zero bits. Assuming an 8-bit word size, the binary compliment of 9 (0b00001001) should be 0b11110110, not 0b00000110. And the compliment of that should return to the original number (0b00001001), but instead yields 0b00000001.




        And, as mentioned by @Martin R, you could simply return ~num;







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 5 hours ago









        AJNeufeldAJNeufeld

        10.9k1 gold badge8 silver badges33 bronze badges




        10.9k1 gold badge8 silver badges33 bronze badges






























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