It would be helpful for you to tell us what b actually is. There is not usually any indication in a set of whether any of the elements are duplicates, so it's not clear to me what {4, 3, 3, 5, 2, 3, 3} is supposed to represent.Hodgey8806 said:Homework Statement
The a universal set: u = {1,2,3,4,5,6,7,8,9,10}
1) Find the bit string for b = {4,3,3,5,2,3,3,}
2) Find the bit string for the union of two sets.
Homework Equations
1)Would I first begin this problem by realizing that set b is the same as {2,3,4,5}?
Hodgey8806 said:The Attempt at a Solution
1)If so, then the bit string would 0111100000.
2)Would I say that the union of two sets would give a truth table such as 1110. Is this correct?
Is this correct? thanks!
A bit string is a sequence of binary digits (also called bits) that can represent information in a computer system. It is often used to encode data such as numbers, letters, or symbols.
To find the bit string for a set, you first need to determine the number of elements in the set. Then, you can assign a unique binary number to each element in the set, starting from 0. Finally, you can combine these binary numbers to form a bit string.
There are two main methods for finding the bit string of a set: the positional method and the mapping method. The positional method is based on the position of the elements in the set, while the mapping method uses a one-to-one mapping between the elements and their binary representations.
Yes, a set can have multiple bit string representations depending on the method used to find it. However, each set should have a unique bit string representation for a specific method.
Finding the bit string for a set is important because it allows for the efficient storage and retrieval of data in a computer system. It also enables operations such as intersection, union, and complement on sets, which are essential in various mathematical and scientific applications.