Suppose that the universal set is U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}. Express each of the following subsets with bit strings (of length 10) where the ith bit (from left to right) is 1 if i is in the subset and zero otherwise. (a) {3,4,5}{3,4,5}  (b) {1,3,6,10}{1,3,6,10} (c) {2,3,4,7,8,9}{2,3,4,7,8,9}  (d) {1,2,4,8,10}{1,2,4,8,10}  (e) {3}{3}  (f) {4,5,7,9}{4,5,7,9}

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Asked Sep 7, 2019
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Suppose that the universal set is U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}. Express each of the following subsets with bit strings (of length 10) where the ith bit (from left to right) is 1 if i is in the subset and zero otherwise.

 

(a) {3,4,5}{3,4,5} 

 

(b) {1,3,6,10}{1,3,6,10} 

(c) {2,3,4,7,8,9}{2,3,4,7,8,9} 

 

(d) {1,2,4,8,10}{1,2,4,8,10} 

 

(e) {3}{3} 

 

(f) {4,5,7,9}{4,5,7,9} 

 

 

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Expert Answer

Step 1

To represent the given sets in terms of binary strings (of length 10)

Step 2

(a) For the set {3,4,5}, the 10-bit string is 0011100000, as 1,2,6,7,8,9 and 10 are represented by 0 and 3,4, 5 are r...

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U {1,2,3,10 (a) 3,4,5 is represented by the string 0011100000, (length 10)

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