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Having the statement “the bitmap index of gender ‘male’ is 11000011000011000010 and the bitmap index of...

Having the statement “the bitmap index of gender ‘male’ is 11000011000011000010 and the bitmap index of emplymentStatus ‘fullTime’ is 10001011101001001011”. How many tuples are in this table? What is the bitmap index of female fullTime employees?

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Answer #1

In Bitmap Indexing, every bit represents the unique value of a particular column in a tuple. Therefore, the length of the bitmap index of every variable will be the same, and will be equal to the number of tuples in the table.
Therefore, the number of tuples in the above table - 20

Now, it is clear that the 'gender' attribute has only 2 values - 'male' and 'female'. Therefore, It is evident that the tuples which have 0 as their index for gender 'male' will have 1 as the index for gender 'female'. So, to calculate the bitmap index of gender 'female', we can take the complement of the bitmap index of the gender 'male'.

Bitmap Index of Gender 'Female' = ~(11000011000011000010)
= 00111100111100111101

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Now, for calculating the index of a combined attribute, we will find the bitmap values of both the attributes, and then perform logical AND operation on them.

Bitmap Index of employmentStatus 'fulltime' = 10001011101001001011

Bitmap index of 'female fulltime' = Bitmap('female') AND Bitmap('fulltime')
= (00111100111100111101) AND (10001011101001001011)
= 00001000101000001001

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