Binary addition which disapproves carrying











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I'm currently working with binary addition which returns False if there is carrying. My current code is :



def binaryadd(one, other):
str_1, str_2 = str(one), str(other)
for a,b in zip(str_1[::-1], str_2[::-1]):
if a == b == '1':
return False
return int(bin(rev_bin(one) + rev_bin(other))[2:])


so 10111 + 1000 would return 11111, 10110 + 1011 would return False. I think there would be more efficient codes ;such as to check overflows in addition, but I'm wondering which code could do it. Is there any better way to do it?










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    up vote
    1
    down vote

    favorite












    I'm currently working with binary addition which returns False if there is carrying. My current code is :



    def binaryadd(one, other):
    str_1, str_2 = str(one), str(other)
    for a,b in zip(str_1[::-1], str_2[::-1]):
    if a == b == '1':
    return False
    return int(bin(rev_bin(one) + rev_bin(other))[2:])


    so 10111 + 1000 would return 11111, 10110 + 1011 would return False. I think there would be more efficient codes ;such as to check overflows in addition, but I'm wondering which code could do it. Is there any better way to do it?










    share|improve this question
























      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      I'm currently working with binary addition which returns False if there is carrying. My current code is :



      def binaryadd(one, other):
      str_1, str_2 = str(one), str(other)
      for a,b in zip(str_1[::-1], str_2[::-1]):
      if a == b == '1':
      return False
      return int(bin(rev_bin(one) + rev_bin(other))[2:])


      so 10111 + 1000 would return 11111, 10110 + 1011 would return False. I think there would be more efficient codes ;such as to check overflows in addition, but I'm wondering which code could do it. Is there any better way to do it?










      share|improve this question













      I'm currently working with binary addition which returns False if there is carrying. My current code is :



      def binaryadd(one, other):
      str_1, str_2 = str(one), str(other)
      for a,b in zip(str_1[::-1], str_2[::-1]):
      if a == b == '1':
      return False
      return int(bin(rev_bin(one) + rev_bin(other))[2:])


      so 10111 + 1000 would return 11111, 10110 + 1011 would return False. I think there would be more efficient codes ;such as to check overflows in addition, but I'm wondering which code could do it. Is there any better way to do it?







      python binary addition






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      asked Nov 11 at 15:33









      ILoveG11

      325




      325
























          1 Answer
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          There is carry from the moment there is a "column" for which both operands have a 1, since in that case we generate a carry. A carry can also propagate, but only if there was already a carry generated.



          We can check this with a bitwise and (&). In case there is no carry, we can just is a bitwise or (|):



          def binaryadd(one, other):
          if one & other:
          return False
          return one | other


          or in a one-liner:



          def binaryadd(one, other):
          return not bool(one & other) and one | other





          share|improve this answer























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            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            0
            down vote



            accepted










            There is carry from the moment there is a "column" for which both operands have a 1, since in that case we generate a carry. A carry can also propagate, but only if there was already a carry generated.



            We can check this with a bitwise and (&). In case there is no carry, we can just is a bitwise or (|):



            def binaryadd(one, other):
            if one & other:
            return False
            return one | other


            or in a one-liner:



            def binaryadd(one, other):
            return not bool(one & other) and one | other





            share|improve this answer



























              up vote
              0
              down vote



              accepted










              There is carry from the moment there is a "column" for which both operands have a 1, since in that case we generate a carry. A carry can also propagate, but only if there was already a carry generated.



              We can check this with a bitwise and (&). In case there is no carry, we can just is a bitwise or (|):



              def binaryadd(one, other):
              if one & other:
              return False
              return one | other


              or in a one-liner:



              def binaryadd(one, other):
              return not bool(one & other) and one | other





              share|improve this answer

























                up vote
                0
                down vote



                accepted







                up vote
                0
                down vote



                accepted






                There is carry from the moment there is a "column" for which both operands have a 1, since in that case we generate a carry. A carry can also propagate, but only if there was already a carry generated.



                We can check this with a bitwise and (&). In case there is no carry, we can just is a bitwise or (|):



                def binaryadd(one, other):
                if one & other:
                return False
                return one | other


                or in a one-liner:



                def binaryadd(one, other):
                return not bool(one & other) and one | other





                share|improve this answer














                There is carry from the moment there is a "column" for which both operands have a 1, since in that case we generate a carry. A carry can also propagate, but only if there was already a carry generated.



                We can check this with a bitwise and (&). In case there is no carry, we can just is a bitwise or (|):



                def binaryadd(one, other):
                if one & other:
                return False
                return one | other


                or in a one-liner:



                def binaryadd(one, other):
                return not bool(one & other) and one | other






                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited Nov 11 at 15:41

























                answered Nov 11 at 15:36









                Willem Van Onsem

                142k16134225




                142k16134225






























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