BitNot does not flip bits in the way I expected












7












$begingroup$


Can anyone explain why the last result in these statements is not the bit-flipped version of arr?



(Debug) In[189]:= arr = {0, 0, 1, 0, 0, 0, 1, 0}

(Debug) Out[189]= {0, 0, 1, 0, 0, 0, 1, 0}

(Debug) In[190]:= FromDigits[%, 2]

(Debug) Out[190]= 34

(Debug) In[191]:= BitNot[%]

(Debug) Out[191]= -35

(Debug) In[192]:= IntegerDigits[%, 2, 8]

(Debug) Out[192]= {0, 0, 1, 0, 0, 0, 1, 1}









share|improve this question











$endgroup$








  • 5




    $begingroup$
    "IntegerDigits[n] discards the sign of n."
    $endgroup$
    – kglr
    Mar 12 at 21:37












  • $begingroup$
    Is there a work around?
    $endgroup$
    – bc888
    Mar 12 at 21:43










  • $begingroup$
    not any I know of.
    $endgroup$
    – kglr
    Mar 12 at 21:44






  • 9




    $begingroup$
    Integers can have arbitrary length, so how many leading zeros should be flipped? The documentation clarifies: "Integers are assumed to be represented in two's complement form, with an unlimited number of digits, so that BitNot[n] is simply equivalent to -1-n."
    $endgroup$
    – Chip Hurst
    Mar 12 at 22:00






  • 1




    $begingroup$
    If you just want to flip "bits" in an array of 1/0 elements without the need to go between integer representation, just use BitXor[1,array]...
    $endgroup$
    – ciao
    Mar 14 at 6:34
















7












$begingroup$


Can anyone explain why the last result in these statements is not the bit-flipped version of arr?



(Debug) In[189]:= arr = {0, 0, 1, 0, 0, 0, 1, 0}

(Debug) Out[189]= {0, 0, 1, 0, 0, 0, 1, 0}

(Debug) In[190]:= FromDigits[%, 2]

(Debug) Out[190]= 34

(Debug) In[191]:= BitNot[%]

(Debug) Out[191]= -35

(Debug) In[192]:= IntegerDigits[%, 2, 8]

(Debug) Out[192]= {0, 0, 1, 0, 0, 0, 1, 1}









share|improve this question











$endgroup$








  • 5




    $begingroup$
    "IntegerDigits[n] discards the sign of n."
    $endgroup$
    – kglr
    Mar 12 at 21:37












  • $begingroup$
    Is there a work around?
    $endgroup$
    – bc888
    Mar 12 at 21:43










  • $begingroup$
    not any I know of.
    $endgroup$
    – kglr
    Mar 12 at 21:44






  • 9




    $begingroup$
    Integers can have arbitrary length, so how many leading zeros should be flipped? The documentation clarifies: "Integers are assumed to be represented in two's complement form, with an unlimited number of digits, so that BitNot[n] is simply equivalent to -1-n."
    $endgroup$
    – Chip Hurst
    Mar 12 at 22:00






  • 1




    $begingroup$
    If you just want to flip "bits" in an array of 1/0 elements without the need to go between integer representation, just use BitXor[1,array]...
    $endgroup$
    – ciao
    Mar 14 at 6:34














7












7








7


1



$begingroup$


Can anyone explain why the last result in these statements is not the bit-flipped version of arr?



(Debug) In[189]:= arr = {0, 0, 1, 0, 0, 0, 1, 0}

(Debug) Out[189]= {0, 0, 1, 0, 0, 0, 1, 0}

(Debug) In[190]:= FromDigits[%, 2]

(Debug) Out[190]= 34

(Debug) In[191]:= BitNot[%]

(Debug) Out[191]= -35

(Debug) In[192]:= IntegerDigits[%, 2, 8]

(Debug) Out[192]= {0, 0, 1, 0, 0, 0, 1, 1}









share|improve this question











$endgroup$




Can anyone explain why the last result in these statements is not the bit-flipped version of arr?



(Debug) In[189]:= arr = {0, 0, 1, 0, 0, 0, 1, 0}

(Debug) Out[189]= {0, 0, 1, 0, 0, 0, 1, 0}

(Debug) In[190]:= FromDigits[%, 2]

(Debug) Out[190]= 34

(Debug) In[191]:= BitNot[%]

(Debug) Out[191]= -35

(Debug) In[192]:= IntegerDigits[%, 2, 8]

(Debug) Out[192]= {0, 0, 1, 0, 0, 0, 1, 1}






binary






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Mar 12 at 22:45









m_goldberg

87.7k872198




87.7k872198










asked Mar 12 at 21:30









bc888bc888

764




764








  • 5




    $begingroup$
    "IntegerDigits[n] discards the sign of n."
    $endgroup$
    – kglr
    Mar 12 at 21:37












  • $begingroup$
    Is there a work around?
    $endgroup$
    – bc888
    Mar 12 at 21:43










  • $begingroup$
    not any I know of.
    $endgroup$
    – kglr
    Mar 12 at 21:44






  • 9




    $begingroup$
    Integers can have arbitrary length, so how many leading zeros should be flipped? The documentation clarifies: "Integers are assumed to be represented in two's complement form, with an unlimited number of digits, so that BitNot[n] is simply equivalent to -1-n."
    $endgroup$
    – Chip Hurst
    Mar 12 at 22:00






  • 1




    $begingroup$
    If you just want to flip "bits" in an array of 1/0 elements without the need to go between integer representation, just use BitXor[1,array]...
    $endgroup$
    – ciao
    Mar 14 at 6:34














  • 5




    $begingroup$
    "IntegerDigits[n] discards the sign of n."
    $endgroup$
    – kglr
    Mar 12 at 21:37












  • $begingroup$
    Is there a work around?
    $endgroup$
    – bc888
    Mar 12 at 21:43










  • $begingroup$
    not any I know of.
    $endgroup$
    – kglr
    Mar 12 at 21:44






  • 9




    $begingroup$
    Integers can have arbitrary length, so how many leading zeros should be flipped? The documentation clarifies: "Integers are assumed to be represented in two's complement form, with an unlimited number of digits, so that BitNot[n] is simply equivalent to -1-n."
    $endgroup$
    – Chip Hurst
    Mar 12 at 22:00






  • 1




    $begingroup$
    If you just want to flip "bits" in an array of 1/0 elements without the need to go between integer representation, just use BitXor[1,array]...
    $endgroup$
    – ciao
    Mar 14 at 6:34








5




5




$begingroup$
"IntegerDigits[n] discards the sign of n."
$endgroup$
– kglr
Mar 12 at 21:37






$begingroup$
"IntegerDigits[n] discards the sign of n."
$endgroup$
– kglr
Mar 12 at 21:37














$begingroup$
Is there a work around?
$endgroup$
– bc888
Mar 12 at 21:43




$begingroup$
Is there a work around?
$endgroup$
– bc888
Mar 12 at 21:43












$begingroup$
not any I know of.
$endgroup$
– kglr
Mar 12 at 21:44




$begingroup$
not any I know of.
$endgroup$
– kglr
Mar 12 at 21:44




9




9




$begingroup$
Integers can have arbitrary length, so how many leading zeros should be flipped? The documentation clarifies: "Integers are assumed to be represented in two's complement form, with an unlimited number of digits, so that BitNot[n] is simply equivalent to -1-n."
$endgroup$
– Chip Hurst
Mar 12 at 22:00




$begingroup$
Integers can have arbitrary length, so how many leading zeros should be flipped? The documentation clarifies: "Integers are assumed to be represented in two's complement form, with an unlimited number of digits, so that BitNot[n] is simply equivalent to -1-n."
$endgroup$
– Chip Hurst
Mar 12 at 22:00




1




1




$begingroup$
If you just want to flip "bits" in an array of 1/0 elements without the need to go between integer representation, just use BitXor[1,array]...
$endgroup$
– ciao
Mar 14 at 6:34




$begingroup$
If you just want to flip "bits" in an array of 1/0 elements without the need to go between integer representation, just use BitXor[1,array]...
$endgroup$
– ciao
Mar 14 at 6:34










4 Answers
4






active

oldest

votes


















9












$begingroup$

I don't think there is a built-in function to generate the two's complement representation. Easy to implement though.



twosComplement[x_, n_] := IntegerDigits[2^x - n, 2, n]
twosComplement[35, 8]
(* {1, 1, 0, 1, 1, 1, 0, 1} *)





share|improve this answer









$endgroup$





















    10












    $begingroup$

    twosComplement[x_, n_] := UnitBox@IntegerDigits[x, 2, n]
    twosComplement[35, 8]



    {1, 1, 0, 1, 1, 1, 0, 1}







    share|improve this answer









    $endgroup$





















      5












      $begingroup$

      Without using IntegerDigits:



      With[{n = 34}, 
      {n, BitXor[BitShiftLeft[1, BitLength[n]] - 1, n]} // BaseForm[#, 2] &]
      {100010₂, 11101₂}

      With[{n = 34, p = 8},
      {n, BitXor[BitShiftLeft[1, p] - 1, n]} // BaseForm[#, 2] &]
      {100010₂, 11011101₂}





      share|improve this answer









      $endgroup$





















        4












        $begingroup$

        FlipBits[num_Integer, len_.] := 
        Module[{arr}, arr = IntegerDigits[num, 2, len];
        1 - arr]





        share|improve this answer









        $endgroup$













          Your Answer





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          4 Answers
          4






          active

          oldest

          votes








          4 Answers
          4






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          9












          $begingroup$

          I don't think there is a built-in function to generate the two's complement representation. Easy to implement though.



          twosComplement[x_, n_] := IntegerDigits[2^x - n, 2, n]
          twosComplement[35, 8]
          (* {1, 1, 0, 1, 1, 1, 0, 1} *)





          share|improve this answer









          $endgroup$


















            9












            $begingroup$

            I don't think there is a built-in function to generate the two's complement representation. Easy to implement though.



            twosComplement[x_, n_] := IntegerDigits[2^x - n, 2, n]
            twosComplement[35, 8]
            (* {1, 1, 0, 1, 1, 1, 0, 1} *)





            share|improve this answer









            $endgroup$
















              9












              9








              9





              $begingroup$

              I don't think there is a built-in function to generate the two's complement representation. Easy to implement though.



              twosComplement[x_, n_] := IntegerDigits[2^x - n, 2, n]
              twosComplement[35, 8]
              (* {1, 1, 0, 1, 1, 1, 0, 1} *)





              share|improve this answer









              $endgroup$



              I don't think there is a built-in function to generate the two's complement representation. Easy to implement though.



              twosComplement[x_, n_] := IntegerDigits[2^x - n, 2, n]
              twosComplement[35, 8]
              (* {1, 1, 0, 1, 1, 1, 0, 1} *)






              share|improve this answer












              share|improve this answer



              share|improve this answer










              answered Mar 12 at 22:03









              Rohit NamjoshiRohit Namjoshi

              1,4701213




              1,4701213























                  10












                  $begingroup$

                  twosComplement[x_, n_] := UnitBox@IntegerDigits[x, 2, n]
                  twosComplement[35, 8]



                  {1, 1, 0, 1, 1, 1, 0, 1}







                  share|improve this answer









                  $endgroup$


















                    10












                    $begingroup$

                    twosComplement[x_, n_] := UnitBox@IntegerDigits[x, 2, n]
                    twosComplement[35, 8]



                    {1, 1, 0, 1, 1, 1, 0, 1}







                    share|improve this answer









                    $endgroup$
















                      10












                      10








                      10





                      $begingroup$

                      twosComplement[x_, n_] := UnitBox@IntegerDigits[x, 2, n]
                      twosComplement[35, 8]



                      {1, 1, 0, 1, 1, 1, 0, 1}







                      share|improve this answer









                      $endgroup$



                      twosComplement[x_, n_] := UnitBox@IntegerDigits[x, 2, n]
                      twosComplement[35, 8]



                      {1, 1, 0, 1, 1, 1, 0, 1}








                      share|improve this answer












                      share|improve this answer



                      share|improve this answer










                      answered Mar 12 at 22:14









                      Okkes DulgerciOkkes Dulgerci

                      5,4141919




                      5,4141919























                          5












                          $begingroup$

                          Without using IntegerDigits:



                          With[{n = 34}, 
                          {n, BitXor[BitShiftLeft[1, BitLength[n]] - 1, n]} // BaseForm[#, 2] &]
                          {100010₂, 11101₂}

                          With[{n = 34, p = 8},
                          {n, BitXor[BitShiftLeft[1, p] - 1, n]} // BaseForm[#, 2] &]
                          {100010₂, 11011101₂}





                          share|improve this answer









                          $endgroup$


















                            5












                            $begingroup$

                            Without using IntegerDigits:



                            With[{n = 34}, 
                            {n, BitXor[BitShiftLeft[1, BitLength[n]] - 1, n]} // BaseForm[#, 2] &]
                            {100010₂, 11101₂}

                            With[{n = 34, p = 8},
                            {n, BitXor[BitShiftLeft[1, p] - 1, n]} // BaseForm[#, 2] &]
                            {100010₂, 11011101₂}





                            share|improve this answer









                            $endgroup$
















                              5












                              5








                              5





                              $begingroup$

                              Without using IntegerDigits:



                              With[{n = 34}, 
                              {n, BitXor[BitShiftLeft[1, BitLength[n]] - 1, n]} // BaseForm[#, 2] &]
                              {100010₂, 11101₂}

                              With[{n = 34, p = 8},
                              {n, BitXor[BitShiftLeft[1, p] - 1, n]} // BaseForm[#, 2] &]
                              {100010₂, 11011101₂}





                              share|improve this answer









                              $endgroup$



                              Without using IntegerDigits:



                              With[{n = 34}, 
                              {n, BitXor[BitShiftLeft[1, BitLength[n]] - 1, n]} // BaseForm[#, 2] &]
                              {100010₂, 11101₂}

                              With[{n = 34, p = 8},
                              {n, BitXor[BitShiftLeft[1, p] - 1, n]} // BaseForm[#, 2] &]
                              {100010₂, 11011101₂}






                              share|improve this answer












                              share|improve this answer



                              share|improve this answer










                              answered Mar 12 at 22:33









                              J. M. is slightly pensiveJ. M. is slightly pensive

                              98.1k10306465




                              98.1k10306465























                                  4












                                  $begingroup$

                                  FlipBits[num_Integer, len_.] := 
                                  Module[{arr}, arr = IntegerDigits[num, 2, len];
                                  1 - arr]





                                  share|improve this answer









                                  $endgroup$


















                                    4












                                    $begingroup$

                                    FlipBits[num_Integer, len_.] := 
                                    Module[{arr}, arr = IntegerDigits[num, 2, len];
                                    1 - arr]





                                    share|improve this answer









                                    $endgroup$
















                                      4












                                      4








                                      4





                                      $begingroup$

                                      FlipBits[num_Integer, len_.] := 
                                      Module[{arr}, arr = IntegerDigits[num, 2, len];
                                      1 - arr]





                                      share|improve this answer









                                      $endgroup$



                                      FlipBits[num_Integer, len_.] := 
                                      Module[{arr}, arr = IntegerDigits[num, 2, len];
                                      1 - arr]






                                      share|improve this answer












                                      share|improve this answer



                                      share|improve this answer










                                      answered Mar 12 at 21:55









                                      bc888bc888

                                      764




                                      764






























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