Homework $4$

PO#$1$ Use basic logic to evaluate the correctness of mathematical arguments. PO#$9$ Apply discrete structures to computer science applications.

Refer to the figure above to complete the following.

a$.$ Write the logical expression for the circuit as is$,$ don't simplify!

b$.$ Use logical equivalences to simplify the expression you wrote for part a$.$ Show work and state which equivalence you use for each step.

c$.$ Create the truth table for the original and simplified expressions you wrote in parts a and b$.$

Determine whether the argument is correct or incorrect. Explain why by assigning propositional variables and using rules of inference, logical equivalencies, or fallacies.

Every new hire has a degree or work experience. If a new hire does not get a sign$-$on bonus then they are from out of state or they do not have a degree. Tasha is a new hire who does not get a sign$-$on bonus. Therefore, Tasha has work experience or is from out of state.