2. Disclaimer:This presentation is prepared by trainees of
baabtra as a part of mentoring program. This is not official
document of baabtra –Mentoring Partner
Baabtra-Mentoring Partner is the mentoring division of baabte System Technologies Pvt .
Ltd

3. TRUTH TABLES
Ashwin Anand V
Email:ashwinanand99@gmail.com
Facebook id:ashwinanand99@gmail.com

4. Introduction
• The truth value of a statement is the classification as true
or false which denoted by T or F.
• A truth table is a listing of all possible combinations of the
individual statements as true or false, along with the
resulting truth value of the compound statements.
• Truth tables are an aide in distinguishing valid and invalid
arguments.

5. Truth Table for ~p E.g.:
p: This book is interesting.
~ p: can be read as:
This book is not interesting.
• Recall that the negation of a p ~p
statement is the denial of This book is
the statement. interesting.
• Note that since the This book is This book is
statement p could be true interesting. not
or false, we have 2 rows in interesting
the truth table. This book is This book is
not interesting.
interesting

6. Truth Table for p ^ q
• Recall that the conjunction
is the joining of two p q p^q
statements with the word
This I am
and.
book is staying
• The number of rows in this
interesti at
truth table will be 4. (Since
p has 2 values, and q has 2 ng. home.
value.) T T T
E.g.: T F F
p ^ q: This book is interesting, and I
F T F
am staying at home.
F F F

7. Truth Table for p v q
• Recall that a disjunction is the
joining of two statements with p q pvq
the word or.
This book I am
• For a disjunction to be true, at is staying
least one of the statements
interesting at home.
must be true.
• A disjunction is only false, if T T T
both statements are false. T F T
E.g.: F T T
p v q: This book is interesting, or I
F F F
am staying at home.

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