Phrases Digital Logic Previous Year Question Paper and Solution with PDF

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Phrases Previous Year Questions (PYQs)

Phrases Digital Logic PYQ

Qus : 1 Phrases PYQ

List I		List II
A.	Kailash Satyarthi	I.	Chemistry
B.	Abhijit Banerjee	II.	Peace
C.	Vinkatraman Ramakrishnan	III.	Physics
D.	Subrahmanyan Chandrasekhar	IV.	Economics

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Phrases Previous Year PYQ Phrases CUET 2023 PYQ

Solution

List I		List II
A.	Kailash Satyarthi	II.	Peace
B.	Abhijit Banerjee	IV.	Economics
C.	Venkatraman Ramakrishnan	I.	Chemistry
D.	Subrahmanyan Chandrasekhar	III.	Physics

Qus : 2 Phrases PYQ

List I		List II
A.	Dog : Rabies :: Mosquito :	I.	Bacteria
B.	Amnesia : Memory :: Paralysis :	II.	Liver
C.	Meningitis : Brain :: Cirrhosis :	III.	Movement
D.	Influenza : Virus :: Typhoid :	IV.	Malaria

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Phrases Previous Year PYQPhrases CUET 2023 PYQ

Solution

Dog causes Rabies, Mosquito causes Malaria → A-IV

Amnesia affects Memory, Paralysis affects Movement → B-III

Meningitis affects Brain, Cirrhosis affects Liver → C-II

Influenza is caused by Virus, Typhoid is caused by Bacteria → D-I

Correct matching: A-IV, B-III, C-II, D-I

Qus : 3 Phrases PYQ

A. If $(12P)_3 = (123)_p$, then value of $P$ is infeasible.

B. The simplified sum of product form of the Boolean expression is

$(P+\bar Q+\bar R)(P+\bar Q+R)(P+Q+\bar R)$

C. The minimum number of D flip-flops needed to design a mod-$(258)$ counter is $8$.

Choose the correct answer from the options given below:

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Phrases Previous Year PYQ Phrases CUET 2023 PYQ

Solution

A: Base-3 number $(12P)_3$ implies $P<3$, but $(123)_p$ implies base $p>3$ ⇒ infeasible → True

B: Given expression is not in simplified SOP form → False

C: For mod-$258$, $2^8=256<258$, so minimum flip-flops required = 9 → False

Qus : 4 Phrases PYQ

A RAM chip has a capacity of $1024$ words of $8$ bits each $(1k \times 8)$. The number of $2 \times 4$ decoders with enable line needed to construct a $16k \times 16$ RAM from $1k \times 8$ RAM is ______.

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Phrases Previous Year PYQ Phrases CUET 2023 PYQ

Solution

To go from $1k$ to $16k$: $16k/1k=16 \Rightarrow 4$ additional address lines. A $2\times4$ decoder selects $4$ blocks using $2$ lines. For $16$ blocks, $4$ such decoders are required, and with enable control one more decoder is needed. Total decoders $=5$

Qus : 5 Phrases PYQ

If $\oplus$ and $\odot$ denote exclusive OR and exclusive NOR operations respectively, then which one of the following is not correct?

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Phrases Previous Year PYQ Phrases CUET 2023 PYQ

Solution

XOR and XNOR are complements of each other. Statement (1) claims them equal, which is false.

Qus : 6 Phrases PYQ

Arrange the following steps in the correct order to understand the functioning of a 3 to 8 line decoder.

(A). The encoder enable input is set to 1.

(B). The decoder activates one of its 8 output lines based on the input code.

(C). The input binary code is applied to the decoder.

(D). The decoder converts the 3-bit binary input into 8 possible outputs.

Choose the correct answer from the options given below:

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Phrases Previous Year PYQ Phrases CUET 2025 PYQ

Solution

To understand the functioning of a 3-to-8 line decoder:

• (A) Enable input is set to 1.
• (C) Apply the 3-bit binary input.
• (D) Decoder converts the 3-bit input into 8 possible outputs.
• (B) Finally, one of the 8 output lines is activated based on the input code.

✅ Therefore, the correct sequence is: \[ (A), (C), (D), (B) \]

Qus : 7 Phrases PYQ

Given the following truth table:

A	B	X
0	0	1
0	1	0
1	0	0
1	1	0

Which of the following Boolean functions does it represent?

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Phrases Previous Year PYQ Phrases CUET 2022 PYQ

Solution

Qus : 8 Phrases PYQ

What should be the minimum hamming distance dmin to guarantee correction of upto p errors in a given block code.

1. 2p

2. 2p+1

3. 2p-1

4. $2^{p-2}$

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Phrases Previous Year PYQ Phrases CUET 2025 PYQ

Solution

We know the relationship between minimum Hamming distance $d_{\min}$ and error correction capability $p$:

\[ d_{\min} \;\geq\; 2p + 1 \]

This ensures the code can correct up to $p$ errors.

✅ Correct answer:

\[ \boxed{2p+1} \]

Qus : 9 Phrases PYQ

Match List-I with List-II

List-1	List-II
JK Flip Flop inputs	Next State
(A). 0 0	(I). Toggle
(B). 0 1	(II). Set
(C). 1 0	(III). Reset
(D). 1 1	(IV). No Change

Choose the correct answer from the options given below:

1. (A) - (I), (B) - (II), (C) - (III), (D) - (IV)

2. (A) - (IV), (B) - (III), (C) - (II), (D) - (I)

3. (A) - (IV), (B) - (III), (C) - (I), (D) - (II)

4. (A) - (I), (B) - (II), (C) - (IV), (D) - (III)

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Phrases Previous Year PYQ Phrases CUET 2025 PYQ

Solution

JK Flip-Flop Truth Table (Inputs → Next State)

(A) 0 0 → (IV) No Change
(B) 0 1 → (III) Reset
(C) 1 0 → (II) Set
(D) 1 1 → (I) Toggle

✅ Correct Answer: Option 2

Qus : 10 Phrases PYQ

Select the property of combinational circuit.

A. Only depends upon present input

B. Only depends upon past input

C. Have no memory

D. Uses flip flop for temporary storage

Choose the correct answer:

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Phrases Previous Year PYQ Phrases CUET MCA 2026 PYQ

Solution

Qus : 11 Phrases PYQ

Minimum number of 2:1 Multiplexers required to design a 16:1 Multiplexer is?

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Phrases Previous Year PYQ Phrases CUET 2025 PYQ

Solution

To implement an $n:1$ multiplexer using only $2:1$ multiplexers, the minimum number required is:

\[ \text{Number of 2:1 MUX} = n - 1 \]

For $n = 16$:

\[ 16 - 1 = 15 \]

✅ Therefore, the minimum number of $2:1$ multiplexers required to design a $16:1$ multiplexer is: \[ \boxed{15} \]

Qus : 12 Phrases PYQ

A 2’s-complement adder–subtracter can add or subtract binary numbers. Sign-magnitude numbers represent ______ decimal numbers, and 2’s complements stand for ______ decimal numbers.

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Phrases Previous Year PYQ Phrases CUET 2023 PYQ

Solution

In sign-magnitude representation, a separate sign bit is used, mainly representing positive numbers explicitly.

2’s-complement representation is primarily used to represent negative numbers in binary arithmetic.

Qus : 13 Phrases PYQ

Consider the following statements.

(A). Combinational logic circuits do not have memory, while sequential logic circuits have memory elements.

(B). Sequential logic circuits depend only on the current inputs,while combinational logic circuits depend on both current and past inputs.

(C). Flip-flops and latches are examples of combinational logic circuits.

(D). Multiplexer is an example of combinational logic circuit.

Choose the correct statement/statements from the options given below:

1. (A) and (D) only

2. (A), (B) and (D) only

3. (A), (B), (C) and (D)

4. (B), (C) and (D) only

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Phrases Previous Year PYQ Phrases CUET 2025 PYQ

Solution

(A). ✅ Correct. Combinational logic circuits do not have memory. Sequential circuits include memory elements.

(B). ❌ Incorrect. Sequential circuits depend on both current and past inputs (via memory), while combinational circuits depend only on current inputs.

(C). ❌ Incorrect. Flip-flops and latches are examples of sequential circuits, not combinational circuits.

(D). ✅ Correct. Multiplexer (MUX) is a combinational logic circuit.

Correct Statements: (A) and (D)

Answer: Option 1

Qus : 14 Phrases PYQ

The following circuit generates the same output as?

1. XOR GATE

2. XNOR GATE

3. NAND GATE

4. NOR GATE

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Phrases Previous Year PYQ Phrases CUET 2025 PYQ

Solution

Qus : 15 Phrases PYQ

Which of the following is a universal logic gate.

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Phrases Previous Year PYQ Phrases CUET MCA 2026 PYQ

Solution

Qus : 16 Phrases PYQ

A logic circuit, that can odd two 1-bit numbers and produce output for sum and carry but cannot handle carry, input, is called ____________.

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Phrases Previous Year PYQ Phrases CUET 2024 PYQ

Solution

A circuit that adds two 1-bit numbers and produces outputs for Sum and Carry but does not handle carry input is called a Half Adder.

A	B	Sum (A⊕B)	Carry (A·B)
0	0	0	0
0	1	1	0
1	0	1	0
1	1	0	1

Boolean Expressions:

Sum = $ A \oplus B $
Carry = $ A \cdot B $

Final Answer: The circuit is a Half Adder.

Qus : 17 Phrases PYQ

Column A	Column B
A. AND	I. Output 1 only if both inputs are 1
B. OR	II. Output 1 if any input is 1
C. NAND	III. Output 0 only if both inputs are 1
D. NOR	IV. Output 1 only if both inputs are 0

Options

(a) (A)-IV, (B)-III, (C)-II, (D)-I

(b) (A)-I, (B)-III, (C)-IV, (D)-II

(d) (A)-II, (B)-I, (C)-IV, (D)-III

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Phrases Previous Year PYQ Phrases CUET MCA 2026 PYQ

Solution

Qus : 18 Phrases PYQ

Fundamental function of register in digital circuit is to

(a) perform arithmetic operation

(b) store binary information

(d) encode input signal

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Phrases Previous Year PYQ Phrases CUET MCA 2026 PYQ

Solution

Qus : 19 Phrases PYQ

Column A	Column B
A. Counter register	I. Read by host to get input
B. Status register	II. Written by host to sent output
C. Data in register	III. Contain bit that can be read by host
D. Data out register	IV. Can be written by host to start command

Options

(a) (A)-I, (B)-II, (C)-III, (D)-IV

(b) (A)-IV, (B)-III, (C)-I, (D)-II

(d) (A)-I, (B)-II, (C)-IV, (D)-III

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Phrases Previous Year PYQ Phrases CUET MCA 2026 PYQ

Solution

Qus : 20 Phrases PYQ

A target thread periodically checks whether it should terminate, allowing it an opportunity to terminate itself in an orderly fashion.

(a) synchronous cancellation

(b) asynchronous cancellation

(d) deferred cancellation

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Phrases Previous Year PYQ Phrases CUET MCA 2026 PYQ

Solution

Qus : 21 Phrases PYQ

Match the following:

Column A	Column B
Decoder	I. Select input and output of many
Multiplexer	II. convert binary input into 2ⁿ output
Encoder	III. convert 2ⁿ input into binary output
Demultiplexer	IV. route one input to several output

Options:

(a)	Decoder – II, Multiplexer – I, Encoder – III, Demultiplexer – IV
(b)	Decoder – III, Multiplexer – I, Encoder – II, Demultiplexer – IV
(c)	Decoder – II, Multiplexer – III, Encoder – I, Demultiplexer – IV
(d)	Decoder – III, Multiplexer – IV, Encoder – II, Demultiplexer – I

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Phrases Previous Year PYQ Phrases CUET MCA 2026 PYQ

Solution

Qus : 22 Phrases PYQ

Half adder has

(a) two input two output

(b) one input two output

(d) one input one output

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Phrases Previous Year PYQ Phrases CUET MCA 2026 PYQ

Solution

A Half Adder is a combinational circuit used to add two binary bits.

Inputs: A, B → 2 inputs
Outputs: Sum (S) and Carry (C) → 2 outputs

Sum = A ⊕ B
Carry = A · B

Qus : 23 Phrases PYQ

Which of the following are combinational circuit

A. Half adder

B. SR flip flop

C. Full adder

D. D flip flop

Options:

(a) A, C

(b) B, D

(d) A, B, C, D

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Phrases Previous Year PYQ Phrases CUET MCA 2026 PYQ

Solution

Half Adder → Combinational circuit
Full Adder → Combinational circuit

SR Flip Flop → Sequential circuit
D Flip Flop → Sequential circuit

Combinational circuits depend only on present input, while sequential circuits depend on present input and previous state.

Correct Answer: (a) A, C

Qus : 24 Phrases PYQ

Arrange the following steps of K-map simplification in correct order.

(A) Write minimized SOP / POS expression

(B) Plot truth table outputs (0's and 1's) on K-map

(D) Draw groups (loops) of adjacent 1's or 0's that are powers of 2

Options:

(a) A, B, C, D

(b) C, A, B, D

(d) B, D, C, A

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Phrases Previous Year PYQ Phrases CUET MCA 2026 PYQ

Solution

Step 1: Plot truth table outputs on K-map → (B)
Step 2: Draw groups (loops) of adjacent 1's or 0's → (D)
Step 3: Identify prime implicants and essential prime implicants → (C)
Step 4: Write minimized SOP / POS expression → (A)

Correct Order: B → D → C → A

Correct Answer: (d) B, D, C, A

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