Homework 7

MA216 HW7 due Friday 31 July 2020

I suggest you read carefully through chapter 2, section 3 of Wrean’s text, do all the exercises (pp 73–74), and check your work against the answers (pp 75–81) before doing these problems. Only email me the problems from this page.

Email me the file Munoz7.pdf (using your last name) by 11:59 p.m. Friday 31 July 2020.

1. Give the truth tables for the following logical expressions.

(a) p∨q (b) p∧q (c) p∧q (d) p⊕q

2. Use truth tables to determine whether each pair of expressions are logically equivalent.

(a) (p∨q) ∨r and p∨q ∨r (b) p∨ (q ∧r) and (p∨q) ∧ (p∨r) (c) p∨q and p∨q

3. Simplify the following logical expressions using truth tables.

(a) (p∨p) ∧ (q ∧q) (b) (p∧q) ∨p (c) (p∧q) ∨ (p∧q)

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