Let U = {10, 11, 13,14,15,16,17,20} be a universal set, and the ordering of elements of U has the elements in increasing order. A set A has bit string representation 11100001. Select all of the following that are members of A. 0 0 17 15 11 13 ☐ 10 14 20 16
Let U = {10, 11, 13,14,15,16,17,20} be a universal set, and the ordering of elements of U has the elements in increasing order. A set A has bit string representation 11100001. Select all of the following that are members of A. 0 0 17 15 11 13 ☐ 10 14 20 16
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let \( U = \{10, 11, 13, 14, 15, 16, 17, 20\} \) be a universal set, and the ordering of elements of \( U \) has the elements in increasing order. A set \( A \) has bit string representation 11100001. Select all of the following that are members of \( A \).
- [ ] 17
- [ ] 15
- [ ] 11
- [ ] 13
- [ ] 10
- [ ] 14
- [ ] 20
- [ ] 16
### Explanation
The bit string 11100001 corresponds to the presence (1) and absence (0) of elements from the universal set \( U \).
- **17 (1)**: Included
- **15 (1)**: Included
- **11 (1)**: Included
- **13 (0)**: Not included
- **10 (0)**: Not included
- **14 (0)**: Not included
- **20 (0)**: Not included
- **16 (1)**: Included
Therefore, select 17, 15, 11, and 16 as members of set \( A \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23be5c35-fb7c-4823-9974-eb0a42948a7a%2F570e30e6-9071-4b66-885b-312d6738a2c2%2Fbzyknba_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let \( U = \{10, 11, 13, 14, 15, 16, 17, 20\} \) be a universal set, and the ordering of elements of \( U \) has the elements in increasing order. A set \( A \) has bit string representation 11100001. Select all of the following that are members of \( A \).
- [ ] 17
- [ ] 15
- [ ] 11
- [ ] 13
- [ ] 10
- [ ] 14
- [ ] 20
- [ ] 16
### Explanation
The bit string 11100001 corresponds to the presence (1) and absence (0) of elements from the universal set \( U \).
- **17 (1)**: Included
- **15 (1)**: Included
- **11 (1)**: Included
- **13 (0)**: Not included
- **10 (0)**: Not included
- **14 (0)**: Not included
- **20 (0)**: Not included
- **16 (1)**: Included
Therefore, select 17, 15, 11, and 16 as members of set \( A \).
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