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Compute hash value according to multiplication method


Hashing by doing modulo $m$ for $m=p^2$ for a prime $p$ instead of using a prime $m$ - is it that bad?Why having a simple multiplication loop and very good avalanche isn't enough to produce well-distributed hash values?How would you implement truly random hash functions in practice?Why does this particular hashCode function help decrease collisions?Constraint on Universal set of hash functionsChoosing a non-cryptographic hash function for language with no unsigned integersHash size: do prime numbers “near” powers of two are bad?Function to generate longer bit-sequence from shorter sequence with certain propertiesRolling Hash calculation with Horner's methodWhat is a minimal, pseudo-random hash function?













1












$begingroup$


In Introduction to Algorithms, CLR, p264 they state this:



enter image description here



I get everything BUT the last part stating $h(k) = 67$



>>> r = 17612864
>>> bin(r) # r's binary representation
'0b1000011001100000001000000'
>>> int(bin(r)[: 14 + 2], 2) # extract 14 most significant bits and convert to int
8600









share|cite|improve this question







New contributor




ted is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$
















    1












    $begingroup$


    In Introduction to Algorithms, CLR, p264 they state this:



    enter image description here



    I get everything BUT the last part stating $h(k) = 67$



    >>> r = 17612864
    >>> bin(r) # r's binary representation
    '0b1000011001100000001000000'
    >>> int(bin(r)[: 14 + 2], 2) # extract 14 most significant bits and convert to int
    8600









    share|cite|improve this question







    New contributor




    ted is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$














      1












      1








      1





      $begingroup$


      In Introduction to Algorithms, CLR, p264 they state this:



      enter image description here



      I get everything BUT the last part stating $h(k) = 67$



      >>> r = 17612864
      >>> bin(r) # r's binary representation
      '0b1000011001100000001000000'
      >>> int(bin(r)[: 14 + 2], 2) # extract 14 most significant bits and convert to int
      8600









      share|cite|improve this question







      New contributor




      ted is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      In Introduction to Algorithms, CLR, p264 they state this:



      enter image description here



      I get everything BUT the last part stating $h(k) = 67$



      >>> r = 17612864
      >>> bin(r) # r's binary representation
      '0b1000011001100000001000000'
      >>> int(bin(r)[: 14 + 2], 2) # extract 14 most significant bits and convert to int
      8600






      hash python






      share|cite|improve this question







      New contributor




      ted is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|cite|improve this question







      New contributor




      ted is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|cite|improve this question




      share|cite|improve this question






      New contributor




      ted is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked 3 hours ago









      tedted

      1083




      1083




      New contributor




      ted is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      New contributor





      ted is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      ted is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.




















          1 Answer
          1






          active

          oldest

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          2












          $begingroup$

          You haven't extracted the 14 most significant bits. First, you have to write $r$ as a $w$-bit number:
          $$
          00000001000011001100000001000000
          $$

          Now you extract the 14 most significant bits:
          $$
          00000001000011
          $$

          Converting to decimal, this is 67.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            Makes sense, I had forgotten about this step thanks
            $endgroup$
            – ted
            38 mins ago












          Your Answer





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          1 Answer
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          1 Answer
          1






          active

          oldest

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          active

          oldest

          votes






          active

          oldest

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          2












          $begingroup$

          You haven't extracted the 14 most significant bits. First, you have to write $r$ as a $w$-bit number:
          $$
          00000001000011001100000001000000
          $$

          Now you extract the 14 most significant bits:
          $$
          00000001000011
          $$

          Converting to decimal, this is 67.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            Makes sense, I had forgotten about this step thanks
            $endgroup$
            – ted
            38 mins ago
















          2












          $begingroup$

          You haven't extracted the 14 most significant bits. First, you have to write $r$ as a $w$-bit number:
          $$
          00000001000011001100000001000000
          $$

          Now you extract the 14 most significant bits:
          $$
          00000001000011
          $$

          Converting to decimal, this is 67.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            Makes sense, I had forgotten about this step thanks
            $endgroup$
            – ted
            38 mins ago














          2












          2








          2





          $begingroup$

          You haven't extracted the 14 most significant bits. First, you have to write $r$ as a $w$-bit number:
          $$
          00000001000011001100000001000000
          $$

          Now you extract the 14 most significant bits:
          $$
          00000001000011
          $$

          Converting to decimal, this is 67.






          share|cite|improve this answer









          $endgroup$



          You haven't extracted the 14 most significant bits. First, you have to write $r$ as a $w$-bit number:
          $$
          00000001000011001100000001000000
          $$

          Now you extract the 14 most significant bits:
          $$
          00000001000011
          $$

          Converting to decimal, this is 67.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered 47 mins ago









          Yuval FilmusYuval Filmus

          196k15184349




          196k15184349











          • $begingroup$
            Makes sense, I had forgotten about this step thanks
            $endgroup$
            – ted
            38 mins ago

















          • $begingroup$
            Makes sense, I had forgotten about this step thanks
            $endgroup$
            – ted
            38 mins ago
















          $begingroup$
          Makes sense, I had forgotten about this step thanks
          $endgroup$
          – ted
          38 mins ago





          $begingroup$
          Makes sense, I had forgotten about this step thanks
          $endgroup$
          – ted
          38 mins ago











          ted is a new contributor. Be nice, and check out our Code of Conduct.









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          ted is a new contributor. Be nice, and check out our Code of Conduct.











          ted is a new contributor. Be nice, and check out our Code of Conduct.














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