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Chapter 2: Q55E (page 137)

55. What is the bit string corresponding to the difference of two sets?

Short Answer

Expert verified

The bit in the ith position of the bit string for the difference is one if the ith bit of the first string is 1 and the ith bit of the second string is 0, and is 0 otherwise.

Step by step solution

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01

Step 1

  • We are given two-bit strings, representing two sets.
  • We want to represent the set of elements that are in the first set but not the second.
  • Thus, the bit in the position of the bit string for the difference is one if the ith bit of the first string is 1 and the ith bit of the second string is 0, and is 0 otherwise.

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Most popular questions from this chapter

a) define the power set of a set S

b) When is the empty set in the power set of a set S?

c) How many elements does the power set of a set S with n elements have?

Give an example of a function from N to N that is

  1. One-to-one but not onto.
  2. Onto but not one-to-one
  3. Both onto and one-to-one(but different from the identity function).
  4. Neither one-to-one nor onto.

what is the empty set? Show that the empty set is a subset of every set.

Question: Let f be a function from the set A to the set B. Let S and T be subsets of A. show that

a)f(S∪T)=f(S)∪f(T)b)f(S∩T)=f(S)∩f(T)

Determine whether each of these functions is a bijection from R to R.

  1. fx=2x+1
  2. fx=x2+1
  3. fx=x
  4. fx=x2+1/x2+2
See all solutions

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