Q. What is the result of the expression (A OR B) AND (A OR NOT B)?
-
A.
A
-
B.
B
-
C.
A OR B
-
D.
A AND B
Solution
The expression simplifies to A, as it covers all cases where A is true.
Correct Answer:
A
— A
Learn More →
Q. What is the result of the expression A AND NOT A?
Solution
The expression A AND NOT A is always false, which is represented by 0.
Correct Answer:
C
— 0
Learn More →
Q. What is the result of the expression A OR (A AND B) when A is true?
-
A.
True
-
B.
False
-
C.
Undefined
-
D.
A AND B
Solution
If A is true, A OR (A AND B) evaluates to true regardless of B.
Correct Answer:
A
— True
Learn More →
Q. What is the result of the expression A OR A?
-
A.
A
-
B.
0
-
C.
1
-
D.
A AND A
Solution
The expression A OR A simplifies to A, as it is idempotent.
Correct Answer:
A
— A
Learn More →
Q. What is the result of the expression A OR NOT A?
Solution
The expression A OR NOT A is always true, which is represented by 1.
Correct Answer:
D
— 1
Learn More →
Q. What is the result of the expression NOT (A AND B)?
-
A.
A OR B
-
B.
A AND B
-
C.
NOT A AND NOT B
-
D.
NOT A OR NOT B
Solution
This is an application of De Morgan's Theorem, which states NOT (A AND B) = NOT A OR NOT B.
Correct Answer:
D
— NOT A OR NOT B
Learn More →
Q. What is the simplified form of A AND A?
-
A.
A
-
B.
0
-
C.
1
-
D.
A AND 1
Solution
According to the Idempotent Law, A AND A simplifies to A.
Correct Answer:
A
— A
Learn More →
Q. What is the simplified form of the expression A AND (A OR B)?
-
A.
A
-
B.
B
-
C.
A OR B
-
D.
A AND B
Solution
Using the Absorption Law, A AND (A OR B) simplifies to A.
Correct Answer:
A
— A
Learn More →
Q. What is the simplified form of the expression A AND (B OR C)?
-
A.
A AND B
-
B.
A AND C
-
C.
A AND (B AND C)
-
D.
A AND B OR A AND C
Solution
This follows the Distributive Law, which states A AND (B OR C) = A AND B OR A AND C.
Correct Answer:
D
— A AND B OR A AND C
Learn More →
Q. Which law states that A AND 1 = A?
-
A.
Identity Law
-
B.
Null Law
-
C.
Domination Law
-
D.
Idempotent Law
Solution
This is known as the Identity Law in Boolean algebra.
Correct Answer:
A
— Identity Law
Learn More →
Q. Which of the following expressions is equivalent to NOT (A OR B)?
-
A.
NOT A AND NOT B
-
B.
NOT A OR NOT B
-
C.
A AND B
-
D.
A OR B
Solution
According to De Morgan's Theorem, NOT (A OR B) is equivalent to NOT A AND NOT B.
Correct Answer:
A
— NOT A AND NOT B
Learn More →
Q. Which of the following is a valid application of De Morgan's Theorem?
-
A.
NOT (A AND B) = NOT A OR NOT B
-
B.
NOT (A OR B) = NOT A AND NOT B
-
C.
A AND B = NOT (NOT A OR NOT B)
-
D.
A OR B = NOT (NOT A AND NOT B)
Solution
De Morgan's Theorem states that NOT (A AND B) = NOT A OR NOT B.
Correct Answer:
A
— NOT (A AND B) = NOT A OR NOT B
Learn More →
Q. Which of the following is equivalent to A OR (A AND B)?
-
A.
A
-
B.
B
-
C.
A AND B
-
D.
A OR B
Solution
Using the Absorption Law, A OR (A AND B) simplifies to A.
Correct Answer:
A
— A
Learn More →
Q. Which of the following is equivalent to A OR A?
Solution
According to the Idempotent Law, A OR A simplifies to A.
Correct Answer:
A
— A
Learn More →
Q. Which of the following is the correct simplification of the expression A OR (A AND B)?
-
A.
A
-
B.
B
-
C.
A AND B
-
D.
A OR B
Solution
Using the Absorption Law, A OR (A AND B) simplifies to A.
Correct Answer:
A
— A
Learn More →
Q. Which of the following is the result of the expression A OR NOT A?
Solution
The expression A OR NOT A is always true, which is represented by 1.
Correct Answer:
C
— 1
Learn More →
Q. Which of the following represents the Complement Law?
-
A.
A AND 0 = 0
-
B.
A OR 1 = 1
-
C.
A AND NOT A = 0
-
D.
A OR NOT A = 1
Solution
The Complement Law states that A AND NOT A = 0.
Correct Answer:
C
— A AND NOT A = 0
Learn More →
Q. Which of the following represents the complement of A?
-
A.
A
-
B.
NOT A
-
C.
A AND NOT A
-
D.
A OR NOT A
Solution
The complement of A is represented by NOT A.
Correct Answer:
B
— NOT A
Learn More →
Showing 1 to 18 of 18 (1 Pages)
