The output (X) of the logic circuit shown in figure will be
1
2
3
4
Official Solution
Correct Option: (3)
The correct option is (C):
02
PYQ 2015
easy
physicsID: neet-ug-
Which logic gate is represented by the following combination of logic gates ?
1
NAND
2
AND
3
NOR
4
OR
Official Solution
Correct Option: (2)
(using De-morgan's theorem)
Hence this logic gate represents AND gate
03
PYQ 2017
medium
physicsID: neet-ug-
The given electrical network is equivalent to
1
AND gate
2
OR gate
3
NOR gate
4
NOT gate
Official Solution
Correct Option: (3)
The correct option is (C): NOR gate.
04
PYQ 2018
medium
physicsID: neet-ug-
In the combination of the following gates the output Y can be written in terms of inputs A and B as
1
2
3
4
Official Solution
Correct Option: (3)
To determine the output in terms of inputs and , analyze the circuit step-by-step.
Inputs are and .
NOT gates produce: and .
First AND gate:
Second AND gate:
Outputs of both AND gates go to an OR gate.
Final output:
This is the standard expression of an XOR gate.
Final Answer:
05
PYQ 2019
medium
physicsID: neet-ug-
The correct Boolean operation represented by the circuit diagram drawn is :
1
AND
2
OR
3
NAND
4
NOR
Official Solution
Correct Option: (3)
To determine the correct Boolean operation represented by the given circuit diagram, we first need to analyze the behavior of the circuit with respect to the inputs A and B.
The circuit contains two switches labeled A and B. These switches act as inputs to the system, which can either be in the "on" position (represented as 1) or the "off" position (represented as 0). The LED will only light up based on the combined effect of these inputs.
Let's analyze the function of this circuit step by step:
If both inputs A = 1 and B = 1:
The circuit path is complete, allowing current to flow and lighting up the LED.
If either input A = 0 or B = 0:
The circuit path is broken, and current cannot flow, so the LED remains off.
If both inputs A = 0 and B = 0:
The circuit path is broken, and the LED remains off.
Now, compare this behavior to standard Boolean operations:
The AND operation outputs 1 only when both inputs are 1.
The OR operation outputs 1 if at least one input is 1.
The NAND operation outputs 0 only when both inputs are 1 (opposite of AND).
The NOR operation outputs 1 only when both inputs are 0 (opposite of OR).
Given the behavior of the circuit (LED only lights when the path is open by either switch off, i.e., A = 1 and B = 1 causes the LED to turn off), this represents a NAND operation. When both inputs are high, the output (LED) is off, which is characteristic of NAND.
Therefore, the correct Boolean operation represented by the circuit is:
NAND
06
PYQ 2019
medium
physicsID: neet-ug-
The circuit diagram shown here corresponds to the logic gate,
1
NOR
2
AND
3
OR
4
NAND
Official Solution
Correct Option: (1)
07
PYQ 2019
medium
physicsID: neet-ug-
The correct Boolean operation represented by the circuit diagram drawn is :
1
NAND
2
NOR
3
AND
4
OR
Official Solution
Correct Option: (1)
From the given logic circuit LED will glow, when voltage across LED is high. Truth Table
A
B
Y
0
0
1
0
1
1
1
0
1
1
1
0
This is out put of NAND gate.
08
PYQ 2024
medium
physicsID: neet-ug-
The output Y for the inputs A and B of the given logic circuit is :
1
A ⋅ B
2
3
A + B
4
Official Solution
Correct Option: (3)
The circuit consists of two OR gates whose outputs are then applied as inputs to another OR gate. Therefore, the logic expression for the output Y is: Y = (A + B)
09
PYQ 2024
medium
physicsID: neet-ug-
When the output of an OR gate is applied as input to a NOT gate, then the combination acts as a
1
NAND gate
2
NOR gate
3
AND gate
4
OR gate
Official Solution
Correct Option: (2)
This combination is equivalent to a NOR gate.
10
PYQ 2025
medium
physicsID: neet-ug-
The output (Y) of the given logic implementation is similar to the output of an/a …………. gate.
1
NAND
2
OR
3
NOR
4
AND
Official Solution
Correct Option: (2)
The problem involves determining which logic gate's output behavior matches that of the provided logic implementation. To solve this, let's compare the behavior of the given logic with the standard behavior of common logic gates.
We are given four options: NAND, OR, NOR, and AND.
Step-by-step Analysis:
Identify the Function: Observe the provided logic circuit and analyze how it processes inputs to produce an output. Assume the logic function consists of basic gates combined to form a desired output, and compare this with known logic gate behavior.
OR Gate Operation: An OR gate outputs true (1) if at least one input is true. This means that for inputs A and B:
If A=0 and B=0, Output=0
If A=0 and B=1, Output=1
If A=1 and B=0, Output=1
If A=1 and B=1, Output=1
Matching the Behaviors: Verify that the provided logic implementation's truth table matches that of the OR gate's behavior listed above. Each combination of inputs should result in the same output as the OR gate.
Verification: Check if the logical relationship in the given implementation matches all conditions for an OR gate compared to NAND, NOR, and AND gates, which have distinct behaviors (e.g., NAND outputs true except when both inputs are true, NOR outputs true only when both inputs are false).
Upon analysis, the given logic implementation equates to an OR gate based on behavior, leading to the correct answer being: OR Gate.
