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CUET PG MCA Boolean Algebra PYQ

CUET PG MCA PYQ
Consider the following Karnaugh Map (K-map). Minimal Function generated by this Karnaugh map is?

1. $Q'S+P'Q$
2. $Q'S'+P'S'$
3. $P'Q''+P'S'+Q'S'$
4. $PQ+Q'S'+P'S'$





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Solution


CUET PG MCA PYQ
What should be the output of the following boolean expression after simplifying it to a minimum number of variables? 
a'b'+ab+a'b 

1. a+b' 
2. a'+b 
3. a'+b 
4. a+b





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Solution

$a'b' + ab + a'b$ 

$= a'(b' + b) + ab$

$= a' + ab$ 

$= a' + b$


$\boxed{a' + b \;\; }$

CUET PG MCA PYQ
The simplified form of the Boolean Expression AB+AB' is ______





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Solution

CUET PG MCA PYQ
Match List I with List II :
 LIST ILIST II 
A. (x+y)' I. 1 
B. x+1 II. x'+y' 
C. (xy)' III. x'.y' 
D. x+0 IV. x 
Choose the correct answer from the options given below:





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Solution

CUET PG MCA PYQ
The function represented by the k-map given below is





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Solution

K-map (3 variables: A rows, BC columns in Gray order 00,01,11,10)

A \ BC00011110
A=00010
A=11011

Groupings and terms:

  • Cells (A=1, BC=11) & (A=1, BC=10) → pair → AB
  • Cells (A=1, BC=00) & (A=1, BC=10) → pair → AC'
  • Cells (A=0, BC=11) & (A=1, BC=11) → pair → BC

Simplified function: \(F = AB \;+\; AC' \;+\; BC\)

Correct option: 1) BC + AB + AC'

CUET PG MCA PYQ
Let A’ represent complement of A. Which of the following boolean expressions is/are true?
(A) A +AB=A 
(B) (A+B)'= A'B'
(C) (A')'= A
(D) (AB)'= A'+B'
Choose the correct answer from the options given below:





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Solution

Solution:

(A) \(A + AB = A(1 + B) = A \cdot 1 = A\)   (Absorption law) ✅

(B) \((A + B)' = A'B'\)   (De Morgan’s law: complement of sum is product of complements) ✅

(C) \((A')' = A\)   (Double complement law) ✅

(D) \((AB)' = A' + B'\)   (De Morgan’s law: complement of product is sum of complements) ✅

Final Answer: All are true — (A), (B), (C), (D).

CUET PG MCA PYQ
The simplified form of Boolean expression:
$\overline{A}BC+ABC$ is 





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Solution


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