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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Problem 12. Consider the following grammar: <S> → a <S> c <B> | <A> | b <A> → c <A> | c <B> → d | <A> Which of the following sentences are in the language generated by this grammar? a. abcd b. acccbd c. acccbcc d. acd e. accc
Problem 6. Using the grammar in Example 3.2, show a parse tree and a leftmost derivation for each of the following statements: a. A = A * (B + (C * A))
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