>
Exams
>
Computer Science & Information Technology
>
Boolean Algebra
>
the boolean expression ab ab ac a c ad ad is indep
Question:
The Boolean expression $ AB + AB' + AC + A'C' + AD + AD' $ is independent of which of the following variables?
Show Hint
In Boolean algebra, simplifications can reveal variables that are independent.
AP PGECET - 2024
AP PGECET
Updated On:
May 3, 2025
A
B
C
D
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The Boolean expression given is independent of \( B \), because \( AB + AB' \) simplifies to \( A \), which doesn't involve \( B \). All the other variables appear in some terms.
Thus, the expression is independent of \( B \).
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Boolean Algebra
Which one of the following options is not a property of Boolean Algebra? (Note: $+$ is OR operation, $\cdot$ is AND operation, and $'$ is NOT operation.)
CUET (PG) - 2026
Computer Science
Boolean Algebra
View Solution
Define Truth Table.
JKBOSE XII - 2026
Computer Science
Boolean Algebra
View Solution
Explain De-Morgan’s principle with two steps to reduce a Boolean expression.
JKBOSE XII - 2026
Computer Science
Boolean Algebra
View Solution
Identity Law is
JKBOSE XII - 2026
Computer Science
Boolean Algebra
View Solution
Consider the following Karnaugh Map (K-map). Minimal Function generated by this Karnaugh map is:
CUET (PG) - 2025
Computer Science
Boolean Algebra
View Solution
View More Questions
Questions Asked in AP PGECET exam
The absolute humidity of air at 101.325 kPa is measured to be 0.02 kg of water per kg of dry air. Then the partial pressure of water vapour in the air is:
AP PGECET - 2025
Thermodynamics
View Solution
If the vapour pressure at two temperatures of a solid phase in equilibrium with its liquid phase is known, then the latent heat of fusion can be calculated by the:
AP PGECET - 2025
Thermodynamics
View Solution
1 mole of Argon gas is heated at constant pressure from 200 K to 600 K.
If \( C_p = 4\ \text{cal} \cdot \text{deg}^{-1} \cdot \text{mol}^{-1} \), then the change in entropy will be:
(Given \( \ln 3 = 1.09 \))
AP PGECET - 2025
Thermodynamics
View Solution
The minimum amount of work required to operate a refrigerator which removes 1000 Cal heat at $0^\circ$C and rejects at $50^\circ$C will be:
AP PGECET - 2025
Thermodynamics
View Solution
The entropy of single crystalline Silicon at absolute zero will be:
AP PGECET - 2025
Thermodynamics
View Solution
View More Questions