Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A, C, E), which are constructed from the Universal set: = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F). Now we can mark the elements of set A by using the following bit pattern: 0101 0101 0101 0101, where, each bit corresponds to elements of the the Universal set. If that element of the universal set is included in A the bit is set to 1, if the element is not. included the bit is set to 0. a) Set D which is defined from the same Universal set & is represented by the following bit pattern: 0000 0000 0011 1111. Write down the elements of set D. b) Using bit pattern representations of the sets and bit-wise logic operations, find the bit pattern that represents the following sets. Use a Venn diagram to verify your answer. i) AUB ii) AUC
Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A, C, E), which are constructed from the Universal set: = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F). Now we can mark the elements of set A by using the following bit pattern: 0101 0101 0101 0101, where, each bit corresponds to elements of the the Universal set. If that element of the universal set is included in A the bit is set to 1, if the element is not. included the bit is set to 0. a) Set D which is defined from the same Universal set & is represented by the following bit pattern: 0000 0000 0011 1111. Write down the elements of set D. b) Using bit pattern representations of the sets and bit-wise logic operations, find the bit pattern that represents the following sets. Use a Venn diagram to verify your answer. i) AUB ii) AUC
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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Transcribed Image Text:Consider the following sets:
A = {1,3,5,7,9, B,D,F), B = {0,3,6,9, C, F} and C=
= {0, 2, 4, 6, 8, A, C, E},
which are constructed from the Universal set:
= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F).
Now we can mark the elements of set A by using the following bit pattern:
0101 0101 0101 0101,
where, each bit corresponds to elements of the the Universal set. If that element
of the universal set is included in A the bit is set to 1, if the element is not
included the bit is set to 0.
a) Set D which is defined from the same Universal set & is represented by the
following bit pattern:
0000 0000 0011 1111.
Write down the elements of set D.
b) Using bit pattern representations of the sets and bit-wise logic operations,
find the bit pattern that represents the following sets. Use a Venn diagram
to verify your answer.
i)
AUB
ii) AUC
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