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# What subsets of a finite universal set do these bit ISBN: 9780073383095 37

## Solution for problem 54E Chapter 2.2

Discrete Mathematics and Its Applications | 7th Edition

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Problem 54E

What subsets of a finite universal set do these bit strings represent?

a) the string with all zeros

b) the string with all ones

Step-by-Step Solution:

Step 1:

In this problem we have to define the subsets of bit strings .

Definition : 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 2:

Let U is the universal set and  we  define the universal set ,

Which is      U = {1,2,3,4,5,6,7,8,9,10}

Here the subsets of universal set is 210. That is we have 210 number of subsets.

Step 3 of 4

Step 4 of 4

##### ISBN: 9780073383095

Since the solution to 54E from 2.2 chapter was answered, more than 910 students have viewed the full step-by-step answer. The answer to “What subsets of a finite universal set do these bit strings represent?a) the string with all zeros________________b) the string with all ones” is broken down into a number of easy to follow steps, and 22 words. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: string, bit, ones, represent, set. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The full step-by-step solution to problem: 54E from chapter: 2.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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