Python Programming: An Introduction to Computer Science
Python Programming: An Introduction to Computer Science
3rd Edition
ISBN: 9781590282779
Author: John Zelle
Publisher: Franklin Beedle & Associates
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Chapter 8, Problem 2D
Program Plan Intro

Boolean algebra:

  • It defines the rules for working with the set {True, False}.
  • The “and”, “or”, “not” are the Boolean operators.
    • The logical “and” is used to evaluate two expressions in order to obtain a single relational result. It returns the Boolean value “True” when both the operands are true, otherwise returns “False”.
    • The logical “or” is used to evaluate two expressions in order to obtain a single relational result. It returns the Boolean value “true” when one of the operands is “true”. It returns “false” only if both the operands are “false”.
    • The logical “not” is used to reverse the input value.

Explanation of Solution

b.

Truth table for given expression:

(not P) and Q:

PQnot P

Explanation of Solution

c.

Truth table for given expression:

(not P) or (not Q):

PQnot Pnot Q

Explanation of Solution

d.

Truth table for given expression:

(P and Q) or R:

PQRP and Q(P and Q) or R
00000
0

Explanation of Solution

e.

Truth table for given expression:

(P or R) and (Q or R):

PQRP or RQ or R(P or R) and (Q or R)
000000
0...

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