Question

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}

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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