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# Using the same universal set as in the last problem, find ISBN: 9780073383095 37

## Solution for problem 53E Chapter 2.2

Discrete Mathematics and Its Applications | 7th Edition

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Problem 53E

Using the same universal set as in the last problem, find the set specified by each of these bit strings.a) 11 1100 1111________________b) 01 0111 1000________________c) 10 0000 0001

Step-by-Step Solution:

Solution :Step 1:In this problem we have to define the sets for these given bit strings.Step 2: definition of bit stringDefinition : A bit string is a sequence of zero or more bits , which is defined by 0 or 1. A bit string’s length is the number of bits in the string.If we define the universal set U and then assign a bit number to each subsets A as follows . A bit is 1 if the element corresponding to the position of the bit in the universal set is in A , and otherwise 0.Step 3: a: 11 1100 1111Let the universal set U = {1,2,3,4,5,6,7,8,9,10}Then the set A corresponding the bit string 11 1100 1111 is,A = {1,2,3,4,7,8,9,10}

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##### ISBN: 9780073383095

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