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Boolean Algebra - ISC Class 12 Computer Science Questions with Answers

177 past-paper questions on Boolean Algebra from ISC Class 12 Computer Science papers (2026-2017), newest first. Open one to see its answer.

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Reduce the Boolean function $F(A,B,C,D) = \pi (0,1,2,3,7,8,9,10,11,12,13,15)$ by using 4-variable Karnaugh map, showing the… 2026 · 5 marks · Long answer
Reduce the Boolean function $F(A, B, C, D) = \Sigma(0, 1, 2, 4, 8, 9, 10, 12)$ by using 4-variable Karnaugh map, showing the… 2026 · 5 marks · Drawing
Draw a truth table to verify if the following proposition is a Tautology, a Contradiction or a Contingency… 2026 · 2 marks · Short answer
The complement of the Boolean expression $p' \cdot q' + c' + p' \cdot q$ is: 2026 · 1 mark · MCQ
The Modus Ponens states that $(p \wedge (p \Rightarrow q)) \Rightarrow q$. Prove this using Boolean laws. 2026 · 3 marks · Short answer
The Chain rule states that $[(a=>b) \cdot (b=>c)] => (a=>c)$. Prove this rule using Boolean laws. 2026 · 3 marks · Derivation
According to the Principle of Duality, the Boolean equation $Q' \cdot 0 + P' \cdot Q' + P' \cdot Q = P'$ will be equivalent to: 2026 · 1 mark · MCQ
The Boolean equations $a + 1 = 1$ and $a \cdot 0 = 0$ correspond to: 2026 · 1 mark · MCQ
Draw a truth table to verify if the following proposition is a Tautology, a Contradiction or a Contingency… 2026 · 2 marks · Drawing
An automated parking gate uses four binary sensors. The parking gate should open under any one of the following conditions: -… 2026 · 5 marks · Long answer
Given $F(P, Q, R) = \pi(0, 1, 4, 7)$ write its canonical form. 2026 · 2 marks · One word
Write the reduced expression of $F(A, B, C) = \pi(0, 1, 2, 3, 4, 5, 6, 7)$ 2026 · 1 mark · One word
Given that P = 0, Q = 1, R = 0, S = 0, write its: Maxterm Minterm 2026 · 2 marks · One word
Consider the two propositions given below: $x$ = You stay calm $y$ = You will succeed If $x$ implies $y$, then write its Converse… 2026 · 1 mark · One word
The Boolean equations $p + p' = 1$ and $p \cdot p' = 0$ correspond to: 2026 · 1 mark · MCQ
The complement of the Boolean expression $a \cdot b' + a' + a' \cdot b$ is: 2026 · 1 mark · MCQ
S1 and S2 are logically equivalent. Study the given propositions and the statements marked Assertion and Reason that follow… 2026 · 1 mark · Assertion-reason
According to the ancient laws of the Valley of Peace, a candidate can become the Dragon Warrior only if they satisfy any one of… 2026 · 5 marks · Long answer
According to the Principle of Duality, the Boolean equation $A + B' \cdot C + A' \cdot B \cdot C' = (A' + 0) \cdot (B + 1)$ will… 2026 · 1 mark · MCQ
Its inverse in statement form is If you do not submit your assignment on time, then you will not get full marks for submission… 2026 · 1 mark · Assertion-reason
What is Gray code in Karnaugh map? 2026 · 1 mark · Short answer
Consider the two propositions given below: A = You use ecofriendly methods B = Pollution is reduced If A implies to B, then write… 2026 · 1 mark · One word
If Sujata is in the merit list, then she is a topper ($Y \Rightarrow X$). Study the given propositions and the statements marked… 2025 · 1 mark · Assertion-reason
The complement of the Boolean expression $(P + Q') \cdot (R' + P)$ is: 2025 · 1 mark · MCQ
Post pandemic, to encourage the tourism industry in India, the Ministry of Tourism started a policy in which a tourist would be… 2025 · 5 marks · Short answer
Reduce the Boolean function $F(X, Y, Z, W) = \pi(0, 1, 2, 3, 4, 6, 8, 9, 11, 12)$ by using 4-variable Karnaugh map, showing the… 2025 · 5 marks · Long answer
Answer the following Boolean algebra questions: $f(a, b, c) = a.b' + a.c + b.c'$. Find its corresponding Cardinal and Canonical… 2025 · 5 marks · Short answer
Write the minterms in canonical form for the Boolean Function X (A, B), from the truth table given below: A B X 0 0 1 0 1 0 1 0 0… 2025 · 1 mark · One word
The complement of the Boolean expression $(A \cdot B') + (B' \cdot C)$ is: 2025 · 1 mark · MCQ
Commutative law states that: 2025 · 1 mark · MCQ
A superhero is allowed access to a secure Avengers facility if he / she meets any of the following criteria: • The superhero has… 2025 · 5 marks · Long answer
s2 is converse of s1 Study the given propositions and the statements marked Assertion and Reason that follow it. Choose the… 2025 · 1 mark · Assertion-reason
If it is not a Sunday, then it is not a holiday. ($Q' \Rightarrow P'$) Study the given propositions and the statements marked… 2025 · 1 mark · Assertion-reason
The complement of the reduced expression of $F(A, B) = \Sigma (0, 1, 2, 3)$ is: 2025 · 1 mark · MCQ
Reduce the Boolean function $F(P, Q, R, S) = \Sigma (0,1,2,5,7,8,9,10,13,15)$ by using 4-variable Karnaugh map, showing the… 2025 · 5 marks · Long answer
The contrapositive of $p' \Rightarrow q$ is $q' \Rightarrow p$. 2025 · 1 mark · Assertion-reason
A shopping mall announces a special discount on all its products as a festival offer only to those who satisfy any one of the… 2025 · 5 marks · Long answer
By using truth table, verify if the following proposition is valid or not… 2025 · 3 marks · Short answer
Differentiate between Tautology and Contradiction. 2025 · 1 mark · Short answer
From the given logic diagram: Derive Boolean expression and draw the truth table for the derived expression. If $A = 1$, $B = 0$… 2025 · 5 marks · Long answer
Distributive law states that: 2025 · 1 mark · MCQ
The truth table for the XOR gate shows that the output is HIGH only when an odd number of inputs are HIGH. 2025 · 1 mark · Assertion-reason
The expression $\sim ( X \vee Y )$ is logically equivalent to $(\sim X \wedge \sim Y)$ Given below are two statements marked… 2025 · 1 mark · Assertion-reason
Verify if the following proposition is valid using the truth table… 2025 · 3 marks · Short answer
The Equivalence expression is $p \leftrightarrow q$. 2025 · 1 mark · Assertion-reason
The canonical expression for $F(x, y, z) = \Sigma(1, 3, 6)$ is: 2025 · 1 mark · MCQ
Reduce the above expression $X(E, R, S, C)$ by using 4-variable Karnaugh map, showing the various groups (i.e. octal, quads and… 2025 · 5 marks · Drawing
According to the Principle of Duality, the Boolean equation $(X' + Y \cdot 0) \cdot X = 0$ will be equivalent to: 2025 · 1 mark · MCQ
From the logic gate diagram given below, derive the Boolean expression for X(A, B, C) and reduce it using Boolean laws. 2025 · 3 marks · Derivation
Reduce the Boolean function… 2025 · 5 marks · Drawing
Reduce the above expression X (A, S, C, L) by using 4-variable Karnaugh map, showing the various groups (i.e., octal, quads and… 2025 · 5 marks · Drawing
The compliment of the Boolean expression $A' \cdot (B \cdot C' + B' \cdot C)$ 2025 · 1 mark · MCQ
Given the Boolean function $F(P,Q,R,S) = \Sigma(2,3,5,7,8,10,11,12,13,15)$. Reduce the above expression by using a 4-variable… 2025 · 5 marks · Short answer
From the logic gate diagram given below: Derive Boolean expression for (1), (2) and R. Reduce the derived expression. Name the… 2025 · 5 marks · Long answer
According to the Principle of duality, the Boolean equation $(A' + B) \cdot (1 + B) = A' + B$ will be equivalent to: 2025 · 1 mark · MCQ
Reduce the above expression D(A, U, P, F) by using 4-variable Karnaugh map, showing the various groups (i.e., octal, quads and… 2025 · 5 marks · Drawing
The canonical expression of $F( P, Q, R) = \pi (2, 5, 7)$ is: 2025 · 1 mark · MCQ
According to the Principle of Duality, the Boolean equation $(1 + Y) \cdot (X + Y) = Y + X'$ will be equivalent to: 2025 · 1 mark · MCQ
Verify if the following compound proposition is valid or not using the truth table… 2025 · 2 marks · Short answer
A student from the Electronics department is asked to design a digital alarm for a smart home security system for the outside… 2025 · 5 marks · Short answer
A food delivery app offers free home delivery to its customers who meet any of the following criteria. • The order is above ₹… 2025 · 5 marks · Long answer
The Associative Law states that: 2025 · 1 mark · MCQ
In Boolean Algebra, dual of the Boolean expression $(A+B)'.1$ is equal to $0$. 2025 · 1 mark · Assertion-reason
A Football Association coach analyses the criteria for a win/draw of his team depending on the following conditions. • If the… 2024 · 5 marks · Long answer
Idempotence Law states that: 2024 · 1 mark · MCQ
Verify if the following proposition is valid using the truth table… 2024 · 3 marks · Short answer
To be recruited as the Principal in a renowned College, a candidate must satisfy any one of the following criteria: • The… 2024 · 5 marks · Long answer
Reduce the above expression $X (C, D, F, G)$ by using 4-variable Karnaugh map, showing the various groups (i.e. octal, quads and… 2024 · 5 marks · Drawing
The complement of the Boolean expression $(X \cdot Y)' + Z'$ is: 2024 · 1 mark · MCQ
The equivalent of $P \land Q \lor \sim P \land \sim Q$ will be: 2024 · 1 mark · MCQ
From the logic circuit diagram given below, name the outputs (1), (2) and (3) and finally derive the Boolean expression (F) and… 2024 · 5 marks · Numerical
$A=0\quad B=1\quad C=0$ and $D=1$ and minterm is $A' \cdot B \cdot C' \cdot D$ Which one of the following options is correct? 2024 · 1 mark · Assertion-reason
For proposition $\sim A \Rightarrow B$, its contrapositive is $B \Rightarrow \sim A$ 2024 · 1 mark · Assertion-reason
Reduce the above expression X (P, S, E, B) by using 4-variable Karnaugh map, showing the various groups (i.e., octal, quads and… 2024 · 5 marks · Drawing
Define Canonical form of an expression with respect to its Cardinal form. 2024 · 1 mark · Short answer
Write the cardinal form of the maxterm $X + Y' + Z$ 2024 · 1 mark · One word
Verify if the following proposition is a Tautology, Contradiction or a Contingency, using a truth table… 2024 · 3 marks · Short answer
Reduce the Boolean function $F(A, B, C, D) = \pi(0, 2, 4, 6, 8, 9, 10, 11, 14)$ by using 4-variable Karnaugh map, showing the… 2024 · 5 marks · Drawing
According to the Principle of duality, the Boolean equation $(P + Q') \cdot R \cdot 1 = P \cdot R + Q' \cdot R$ will be… 2024 · 1 mark · MCQ
Reduce the Boolean function $F(A,B,C,D) = \pi (0, 1, 2, 3, 4, 6, 9, 11, 13)$ by using 4-variable Karnaugh map, showing the… 2024 · 5 marks · Drawing
Absorption law states that: 2024 · 1 mark · MCQ
Boolean algebra and Binary number system are different from each other. 2024 · 1 mark · Assertion-reason
The complement of the Boolean expression $(P' \cdot Q) + (R \cdot S')$ is: 2024 · 1 mark · MCQ
Write the canonical form of the cardinal terms, $m_3$ and $M_5$ for $F (A, B, C, D)$. 2024 · 2 marks · One word
According to the Principle of duality, the Boolean equation $(A + B') \cdot (A + 1) = A + B'$ will be equivalent to: 2024 · 1 mark · MCQ
Write the canonical SOP expression for $F (A, B) = A \Leftrightarrow B$ 2024 · 1 mark · One word
Find the complement of the following expression and reduce it by using Boolean laws. $P \cdot (P + Q) \cdot Q \cdot (Q + R')$ 2024 · 2 marks · One word
Given the Boolean function $F(A,B,C,D) = \Sigma(2, 3, 6, 7, 8, 10, 12, 14, 15)$. Reduce the above expression by using 4-variable… 2023 · 5 marks · Drawing
If $(\sim p \Rightarrow \sim q)$ then its contra positive will be: 2023 · 1 mark · MCQ
Simplify the following expression using Boolean laws: $F = PQ + ( P + Q ) \cdot ( P + PR ) + Q$ 2023 · 2 marks · One word
Verify if the following proposition is valid: $( P => Q ) \wedge ( P => R ) = P => ( Q \wedge R )$ 2023 · 3 marks · Short answer
The dual of $(X' + 1) \cdot (Y' + 0) = Y'$ is: 2023 · 1 mark · MCQ
The law which states $a + (b \cdot c) = (a + b) \cdot (a + c)$ is: 2023 · 1 mark · MCQ
Write the canonical sum of product form of the function $y(A, B) = A + B$. 2023 · 1 mark · One word
A shopping mall allows customers to shop using cash or credit card of any nationalised bank. It awards bonus points to their… 2023 · 5 marks · Long answer
Write the maxterm and minterm for the function $F(A, B, C, D)$ when, $A=1, B=1, C=0$ and $D=1$. 2023 · 2 marks · One word
Given the Boolean function $F(A,B,C,D) = \pi(0, 1, 2, 4, 5, 8, 10, 11, 14, 15)$. Reduce the above expression by using 4-variable… 2023 · 5 marks · Drawing
From the logic diagram given below, write the Boolean expression for (1) and (2). Also, derive the Boolean expression (F) and… 2023 · 3 marks · Derivation
According to De Morgan’s law $(a + b + c')'$ will be equal to: 2023 · 1 mark · MCQ
The complement of the Boolean expression $(P \cdot Q)' + R'$ is: 2023 · 1 mark · MCQ
Verify if $(A + A')'$ is a Tautology, Contradiction, or a Contingency. 2023 · 1 mark · One word
Write the minterm of $F(A, B, C, D)$ when $A = 1, B = 0, C = 0$ and $D = 1$. 2023 · 1 mark · One word
Given the Boolean function $F(A, B, C, D) = \sum(0, 1, 2, 3, 4, 6, 9, 11, 13)$. Reduce the above expression by using 4-variable… 2023 · 5 marks · Long answer
The reduced expression of the Boolean function $F(P, Q) = P' + PQ$ is: 2023 · 1 mark · MCQ
Convert the following cardinal expression to its canonical form: $F(P, Q, R) = \pi(0, 1, 3, 4)$ 2023 · 2 marks · One word
Given the Boolean function $F(A, B, C, D) = \pi(0, 1, 3, 5, 6, 7, 9, 11, 13, 14, 15)$. Reduce the above expression by using… 2023 · 5 marks · Long answer
The dual of $(P + P') \cdot (Q + 0) = Q$ is: 2023 · 1 mark · MCQ
Verify the following expression by using the truth table: $(A \odot B)' = (A \oplus B)$ 2023 · 2 marks · Short answer
A family intends to purchase a smart phone depending on the criteria given below: • Quad core processor with internal memory of… 2023 · 5 marks · Long answer
If $(x => \sim y)$ then, its inverse will be: 2023 · 1 mark · MCQ
The Quad group in a Karnaugh’s map eliminates: 2022 · 1 mark · MCQ
The propositional operator $=>$ represents: 2022 · 1 mark · MCQ
Reduce the given Boolean function $F(A,B,C,D) = \pi(3,4,5,6,7,11,13,15)$ by using 4-variable Karnaugh map and answer the… 2022 · 2 marks · MCQ
Given the Boolean expression $F = (P + R) \cdot (P \cdot Q + Q \cdot R')$, identify: The complement of the expression: 2022 · 2 marks · MCQ
With reference to the given proposition $\sim P => Q$, answer the following questions: the converse of the proposition is: the… 2022 · 2 marks · Short answer
A school intends to select candidates for an Inter school competition as per the criteria given below: • The student has… 2022 · 2 marks · MCQ
The proposition $(a <=> b)$ is represented by: 2022 · 1 mark · MCQ
The law which represents the Boolean equation $A + B = B + A$ is: 2022 · 1 mark · MCQ
The complement of the Boolean expression $F(P,Q,R) = (P + Q + R)$ is: 2022 · 1 mark · MCQ
If $A = 1, B = 0, C = 0$ and $D = 1$, then the maxterm will be: 2022 · 1 mark · MCQ
Given the Boolean expression $F = (P + R) \cdot (P \cdot Q + Q \cdot R')$, identify: The law used: 2022 · 1 mark · MCQ
The basic logic gate that represents the simplification of the Boolean expression $A \cdot (A' + B) \cdot (A + B)$ is: 2022 · 2 marks · MCQ
Reduce the given Boolean function $F(A,B,C,D) = \sum(0,2,4,8,9,10,12,13)$ by using 4-variable Karnaugh map and answer the… 2022 · 2 marks · MCQ
The dual of the Boolean equation $(X + Y) \cdot 1 = X + Y$ is: 2022 · 1 mark · MCQ
Reduce the given Boolean function $F(A,B,C,D) = \sum(0,2,4,8,9,10,12,13)$ by using 4-variable Karnaugh map and answer the… 2022 · 1 mark · MCQ
The proposition $\sim(a \wedge b) \vee (\sim a => b)$ is a: 2022 · 2 marks · MCQ
Reduce the given Boolean function $F(A,B,C,D) = \pi(3,4,5,6,7,11,13,15)$ by using 4-variable Karnaugh map and answer the… 2022 · 1 mark · MCQ
The reduced expression for the Boolean expression $F(X,Y,Z) = \sum(0,1,2,3,4,5,6,7)$ is: 2022 · 2 marks · MCQ
A school intends to select candidates for an Inter school competition as per the criteria given below: • The student has… 2022 · 1 mark · MCQ
Find the dual for the Boolean equation: $AB' + BC' + 1 = 1$. 2020 · 1 mark · Short answer
Minimize: $F = XY + (XZ)' + XY'Z$ using Boolean laws. 2020 · 1 mark · Short answer
State the properties of zero in Boolean algebra. 2020 · 1 mark · Short answer
Given the Boolean function: $F(A,B,C,D) = \Sigma (0, 1, 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14)$. Reduce the above expression by… 2020 · 5 marks · Drawing
State whether the following proposition is a tautology, contradiction or a contingency… 2020 · 1 mark · Short answer
Convert the Boolean expression $F(X,Y,Z) = X'Y'Z + X'YZ' + XYZ$ into its cardinal form. 2020 · 1 mark · Short answer
Find the complement of the following Boolean expression using De Morgan’s law: $F(P, Q, R) = P + (Q' \cdot R)$ 2020 · 1 mark · Short answer
Convert the following expression to its cardinal SOP form: $F(P,Q,R) = P'Q'R + P'QR + PQ'R' + PQR'$ 2020 · 2 marks · Short answer
Given the Boolean function: $F(A, B, C, D) = \pi ( 3, 4, 6, 9, 11, 12, 13, 14, 15 )$. Reduce the above expression by using… 2020 · 5 marks · Drawing
Simplify the following expression using Boolean laws: $F = [ (X' + Y) \cdot (Y' + Z) ]' + (X' + Z)$ 2020 · 2 marks · Short answer
Draw a truth table with a 3 input combination which outputs 1 if there are odd number of 0’s. Also derive an SOP expression for… 2020 · 5 marks · Drawing
Draw the truth table to prove the proportional logic expression: $(X \Rightarrow Y) \land (Y \Rightarrow X) = X \Leftrightarrow Y$ 2020 · 1 mark · Short answer
State Associative law and prove it with the help of a truth table. 2020 · 1 mark · Short answer
Simplify the following Boolean expression and draw the gate for the reduced expression: $F = A'B + AB'C + A$ 2020 · 3 marks · Drawing
Given the Boolean function $F(A, B, C, D) = \Sigma (0, 2, 3, 6, 8, 10, 11, 14, 15)$: Reduce the above expression by using… 2020 · 5 marks · Drawing
Find the dual of: $(A' + 0) \cdot (B' + 1) = A'$ 2020 · 1 mark · Short answer
A company intends to develop a device to show the high status power load for a household invertor depending on the criteria given… 2020 · 5 marks · Short answer
Define Proposition. How does tautology differ from contradiction? 2020 · 3 marks · Short answer
Given the Boolean function $F(P, Q, R, S) = \pi (5, 7, 8, 10, 12, 14, 15)$: Reduce the above expression by using 4-variable… 2020 · 5 marks · Drawing
The owner of a company pays bonus to his salesmen as per the criteria given below:  If the salesman works overtime for more than… 2019 · 5 marks · Long answer
Simplify the following expression, using Boolean laws: $( X + Z ) . ( X.Y + Y.Z' ) + X.Z + Y$ 2019 · 2 marks · One word
If A= “It is cloudy” and B= “It is raining”, then write the proposition for: Contrapositive Converse 2019 · 1 mark · One word
Given the Boolean function: $F(P, Q, R, S) = \pi ( 0, 1, 2, 8, 9, 11, 13, 15 )$. Reduce the above expression by using 4-variable… 2019 · 5 marks · Drawing
Given the Boolean function $F(A, B, C, D) = \Sigma ( 0, 2, 3, 4, 5, 8, 10, 11, 12, 13 )$. Reduce the above expression by using… 2019 · 5 marks · Drawing
Using a truth table, state whether the following proposition is a Tautology, Contradiction or Contingency… 2019 · 2 marks · Short answer
If $F(A, B, C) = A'.B'.C' + A'.B.C'$ then find $F'$ using De Morgan’s Law. 2019 · 1 mark · One word
Find the dual of: $X.Y + X.Y' = X + 0$ 2019 · 1 mark · One word
Write the canonical POS expression of: $F(P, Q) = \Pi( 0,2 )$ 2019 · 1 mark · One word
Using the truth table, state whether the following proposition is a tautology, contingency or a contradiction… 2018 · 3 marks · Short answer
Verify the following proposition with the help of a truth table: $( P \land Q ) \lor ( P \land \sim Q ) = P$ 2018 · 1 mark · Short answer
Convert the following expression into its canonical POS form: $F(X, Y, Z) = (X+Y' ) \cdot (Y'+Z)$ 2018 · 1 mark · One word
If $F(A, B, C) = A' (BC' + B'C)$, then find $F'$ 2018 · 1 mark · One word
Given the Boolean function $F(A, B, C, D) = \Sigma (0,2,4,8,9,10,12,13)$. Reduce the above expression by using 4-variable… 2018 · 5 marks · Drawing
Given the Boolean function: $F(A, B, C, D) = \pi(3,4,5,6,7,10,11,14,15)$. Reduce the above expression by using 4-variable… 2018 · 5 marks · Drawing
Find the dual of: $(A'+B) \cdot (1+B') = A'+B$ 2018 · 1 mark · One word
Simplify the following expression, using Boolean laws: $A \cdot ( A' + B ) \cdot C \cdot ( A + B )$ 2018 · 2 marks · One word
State the Commutative law and prove it with the help of a truth table. 2018 · 1 mark · Short answer
A training institute intends to give scholarships to its students as per the criteria given below : • The student has excellent… 2018 · 5 marks · Long answer
A school intends to select candidates for an Inter-School Essay Competition as per the criteria given below: • The student has… 2017 · 5 marks · Long answer
Given the Boolean function $F(P, Q, R, S) = \pi(0, 1, 2, 4, 5, 6, 8, 10)$. Reduce the above expression by using 4-variable… 2017 · 5 marks · Drawing
State the Principle of Duality. 2017 · 1 mark · Short answer
Convert the following Boolean expression into its canonical POS form: $F(A, B, C) = (B + C') \cdot (A' + B)$ 2017 · 2 marks · One word
Prove the Boolean expression using Boolean laws. Also, mention the law used at each step… 2017 · 3 marks · Derivation
Define maxterms and minterms. Find the maxterm and minterm when: $P = 0$, $Q = 1$, $R = 1$ and $S = 0$ 2017 · 2 marks · Short answer
Given the Boolean function $F(A, B, C, D) = \Sigma (2, 3, 4, 5, 6, 7, 8, 10, 11)$. Reduce the above expression by using… 2017 · 5 marks · Drawing
If $(\sim P \implies Q)$ then write its: Inverse Converse 2017 · 1 mark · One word
State the law represented by the following proposition and prove it with the help of a truth table: $P \lor P = P$ 2017 · 1 mark · Short answer
Find the complement of the following Boolean expression using De Morgan’s law: $F(a,b,c) = (b' + c) + a$ 2017 · 1 mark · One word

Boolean Algebra - ISC Class 12 Computer Science Questions with Answers

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