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14 December, 18:27

Suppose that the universal set is U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }. Express each of these sets with bit strings, where the ith bit in the string is 1 if i is in the set and 0 otherwise:

a) { 3, 4, 5 }

b) { 1, 3, 6, 10 }

c) { 2, 3, 4, 7, 8, 9 }

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Answers (1)
  1. 14 December, 18:49
    0
    a. 0011100000

    b. 1010010001

    c. 0111001110

    Step-by-step explanation:

    We are given that a universal set

    U={1,2,3,4,5, ... 10}

    We have to express each given set with bit strings, where the ith bit in the string is 1 if i is in the set and 0 otherwise

    a.{3,4,5}

    For 1=0 because 1 is not in the given set

    For 3=1, For 4=2, For 5=1 because 3,4 and 5 are in the set

    For 2=0

    For 6=0

    For 7=0

    For 8=0

    For 9=0

    For 10=0

    Therefore, bit string=0011100000

    b.{1,3,6,10}

    For 1,3,6 and 10 write 1 because these elements are present in the set and for 2,4,5,7,8,9 write 0 because these elements are not present in the set

    Bit string = 1010010001

    c.{2,3,4,7,8,9}

    Similarly

    Those elements which are present in the set then for those elements write 1 otherwise 0.

    Bit string = 0111001110
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