1.Using the universal set U={1,2,3…10}, find the set specified by each of these bit strings

Question

1.Using the universal set U={1,2,3…10}, find the set specified by each of these bit strings

(i)1111001111 , (ii)0101111000 and (iii)1000000001

Answer 1

In each of the 10 positions in the binary string, a 1 indicates that the corresponding number is included in the set, and a 0 indicates that it is not included.

 

The first string represents the set  {1,2,3,4,7,8,9,10}

 

The second string represents the set {2,4,5,6,7}

 

The third string represents the set {1,10}