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For any predicates, P(x) and Q(x), ∃x [ P(x) ⋀ Q(x) ] ⟺ [ ( ∃x P(x) ) ⋀ ( ∃x Q(x) ) ].

With the universe of discourse for x as the set of all people alive in the world and the universe of discourse for y as the set of all countries in the world, we define the following predicates: F(x) is “x is a current FSU student,” G(x) is “x is a graduate of FSU,” and R(x, y) is “x is a resident of y.” Which of the following logical expressions accurately expresses this statement: Some residents of the United States are graduates of FSU and some residents of the United States are not graduates of FSU.

What topic in units 10-11 of the course material did you find the most challenging?

Use the Euclidean algorithm to determine the GCD(328, 132).  Show your work. Then express the GCD(328, 132) value you identify as a linear combination of 328 and 132. Show your work.

Define S, a set of bit strings, recursively as follows. Initial Condition:  1 ∈ S Recursion: If m ∈ S then m11 ∈ S. Which of the following best describes set S?

According to Fermat’s little theorem, what is the value of 3374(mod 11)?

[1] The assignments and tests are good measures of how much I’m learning.

The octal expansion of the decimal number 109 is ___________eight. Only type the digits; do not include the base.

The pet shop in Mochdewton sells only guinea pigs and hamsters. Each guinea pig costs twice as much as a hamster. A local elementary school purchased 5 guinea pigs and 3 hamsters. If the transaction had been for 3 guinea pigs and 5 hamsters, the cost would have been $10 less. What is the price of a guinea pig?  [GuineaPig] What is the price of a hamster?   [Hamster]   Adapted from “The Lady or the Tiger? and other logic puzzles” by Raymond M. Smullyan

The binary expansion of the decimal number 105 is ___________two. Only type the digits; do not include the base.