Discrete math Given U=\{1,2,3,4,5,6,7,8,9,10\}, S_{1}=\{1,3,5,7,9\}, S_{2}=\{1,2,4,

Rivka Thorpe

Rivka Thorpe

Answered question


Discrete math
Given U={1,2,3,4,5,6,7,8,9,10},S1={1,3,5,7,9},S2={1,2,4,6,8,10}. What is the S1S2 in bit strings?
Select one :
1) 00
2) 01
3) 0000000000
4) 0000000001
5) 1000000000

Answer & Explanation



Skilled2021-08-18Added 113 answers

Step 1
Step 2
Representation of set in bit string form:
Represent a subset A of U with the bit string of length n, where the i-th bit in the string is 1 if ai belongs to A and 0 if ai does not belongs to A.
Bit operation for AND:
The bit string for the intersection is the bitwise 'AND' of the bit strings for the two sets.
Step 3
Bit strings of S1 and S2:
Thus, the bit strings of S1S2 is 1000000000.

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