   # 2. a. Complete a truth table for ( p | q ) ( p | q ) . b. Use the results of Excursion Exercise 2a to determine an equivalent statement for ( p | q ) ( p | q ) . ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 3.4, Problem 2EE
Textbook Problem
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## 2. a. Complete a truth table for ( p | q ) ( p | q ) .b. Use the results of Excursion Exercise 2a to determine an equivalent statement for ( p | q ) ( p | q ) .

To determine

(a)

To construct a truth table for the given statement.

### Explanation of Solution

Given information:

Given statement is (p|q)|(p|q)

Calculation:

The statement contains 2 simple statement p, q

So the number of rows in the truth table would be given by 2n=22=4

The standard truth table for two statements is given by,

 p q T T T F F T F F

Now the statement (p|q) is calculated. The statement contains 'NAND', so the statement will be false when both the statements are true. Else the statement will always be true.

To determine

(b)

To determine the equivalent statement for the given statement.

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