Which of the following is a fundamental law of Boolean algebra?
A
Distributive Law B
Newton's Law C
Ohm's Law D
Faraday's Law
Analysis & Theory
Distributive, associative, and commutative laws are fundamental in Boolean algebra.
What is the Boolean expression for the output of an AND gate?
A
A + B B
A · B C
A ⊕ B D
A'
Analysis & Theory
AND gate output is A · B in Boolean expression.
According to DeMorgan's Theorem, the complement of A · B is:
A
A + B B
A' + B' C
A' · B' D
A + B'
Analysis & Theory
DeMorgan’s Theorem: (A · B)' = A' + B'
Which Boolean law states that A + AB = A?
A
Distributive Law B
Absorption Law C
Associative Law D
Identity Law
Analysis & Theory
Absorption law: A + AB = A
What is the simplified form of A + A'B?
A
AB B
B C
A + B D
A + B'
Analysis & Theory
Using the combining theorem: A + A'B = A + B
The expression A · 0 simplifies to:
A
A B
1 C
0 D
A'
Analysis & Theory
Any variable ANDed with 0 is 0.
Which law is represented by A + A = A?
A
Idempotent Law B
Complement Law C
Distributive Law D
Identity Law
Analysis & Theory
Idempotent law: A + A = A
What is the complement of A + B using DeMorgan’s Theorem?
A
A' + B' B
A · B C
A' · B' D
A · B'
Analysis & Theory
DeMorgan: (A + B)' = A' · B'
Which expression represents the complement of A?
A
A B
1 C
0 D
A'
Analysis & Theory
The Boolean complement is denoted by A'.
In Boolean algebra, what is the result of A · A'?
A
A B
1 C
0 D
A + A'
Analysis & Theory
A AND A' is always 0 since they are opposite logic states.