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Mock test on Logic Gate for Students
In the Boolean algebra, Y = A.B indicates that the output Y exists, when :
(A) Input B exists
(B) Input A exists
(C) Either input A or input B exists
(D) Both inputs A and B exist
Explanation:
In digital logic, the relationship between inputs and output is defined using symbolic operations that represent how signals behave in a circuit. When two inputs are combined using a multiplication-like operation in Boolean expression form, it represents a situation where the output depends on the simultaneous presence of multiple input conditions. This type of logical representation is widely used in designing switching circuits and computational systems, where signals are either present or absent. The key idea is that the output does not depend on just one condition alone but is governed by how multiple inputs interact together in a structured logical manner. Such logical structures are fundamental in building decision-making circuits, where signal flow is controlled based on defined rules of combination. Understanding this helps in analyzing how basic digital components behave in larger systems like processors and control units.
Option d – Both inputs A and B exist
An OR gate gives a logic 1 output :
(A) Only when all inputs are logical 1
(B) Only when any two inputs are logical 1
(C) When all inputs are logical 0
(D) When any one input is logical 1
Explanation:
In digital electronics, logic gates process binary signals where each input can take one of two states. An operation that produces a high output depends on how input conditions are evaluated together within the circuit. Some gates are designed to respond when any one of the available inputs meets a certain condition, making them useful for decision-making systems where multiple triggers can activate a response. This behavior is commonly used in alarm systems, control circuits, and computing logic where flexibility in input response is required. The output state is determined by evaluating whether at least one input satisfies the activation condition, rather than requiring all inputs to be active simultaneously. Such structures are essential in simplifying complex logical decisions into manageable circuit operations, forming the foundation of combinational logic design in digital systems.
Option d – When any one input is logical 1
Which of the following is not the function of NOT gate?
(A) Stop a signal
(B) Invert an input signal
(C) Change the logic in a digital circuit
(D) Complement a signal
Explanation:
A NOT gate is a fundamental digital component that performs logical inversion on a single input signal. It is designed to change the input state into its opposite form, meaning a high signal becomes low and a low signal becomes high. This operation is used in circuits where signal complementing or reversal is required to achieve desired logic behavior. The NOT gate does not perform any signal stopping or blocking function in practical digital systems; instead, it continuously processes the input and outputs the opposite logical state. It is widely used in combination with other gates to build complex logic expressions and to implement control conditions in computing circuits. Understanding its role helps in analyzing how logical negation is applied in decision-making systems within digital electronics.
Option a – Stop a signal
How many NAND gates are used to form AND gate?
(A) 1
(B) 2
(C) 4
(D) 3
Explanation:
In digital circuit design, NAND gates are often used as universal building blocks because they can be configured to form other logic gates. An AND function can be achieved by combining NAND operations in such a way that the final output reflects the simultaneous satisfaction of all input conditions. This involves first producing an inverted form of the AND operation and then restoring the desired logical behavior through an additional inversion stage. Such configurations demonstrate how complex logic functions can be built using only one type of universal gate. This approach is widely used in integrated circuit design due to its simplicity and efficiency in hardware implementation.
Option b – 2
Boolean algebra is essentially based on :
(A) Truth
(B) Logic
(C) Symbol
(D) Numbers
Explanation:
Boolean algebra is a mathematical system used to represent logical relationships using binary values. It is fundamentally built on the principles of logical reasoning rather than numerical computation. In this system, variables represent truth values that can be either true or false, and operations define how these values interact. It forms the theoretical foundation for digital logic design, enabling the simplification and analysis of logical expressions used in computing systems. The framework is essential for designing circuits, optimizing logic expressions, and understanding decision-making processes in digital electronics.
Option b – Logic
Logic gates are the building blocks of a :
(A) Digital system
(B) Analog system
(C) Abacus system
(D) All of these
Explanation:
Logic gates are fundamental electronic components that process binary signals and perform basic logical operations. These components are combined to form more complex circuits that handle data processing, decision-making, and control functions. In modern electronics, they are essential in constructing systems that operate using discrete signal levels rather than continuous values. By integrating multiple gates, designers create functional systems capable of performing arithmetic operations, memory storage, and logical processing. This makes them the core structural elements in electronic computation systems.
Option a – Digital system
The logic behind NOR gate is that it gives :
(A) High output when both inputs are low
(B) Low output when both inputs are low
(C) High output when both inputs are high
(D) All of these
Explanation:
A NOR gate is a combination of OR logic followed by negation, producing an output based on the absence of any high input signal. It is used in situations where the system must respond only when all input conditions are inactive. This behavior makes it useful in control systems where default activation occurs only under specific inactive input states. The NOR gate is also a universal gate, meaning it can be used to construct all other basic logic gates. This makes it highly valuable in digital circuit design and hardware optimization.
Option a – High output when both inputs are low
Which of the following is true for AND gate?
(A) Is equivalent to a mixed switching circuit
(B) Is equivalent to a series switching circuit
(C) Is equivalent to a parallel switching circuit
(D) Implements logic addition
Explanation:
An AND gate performs a logical operation where the output depends on the simultaneous satisfaction of all input conditions. It is commonly represented using a series switching analogy, where current flows only when all switches are closed. This behavior ensures that the output is activated only when every input condition is met. Such functionality is widely used in digital systems for implementing strict condition-based decision logic. It forms an essential part of combinational circuit design and is frequently used in control and computational applications.
Option b – Is equivalent to a series switching circuit
NAND and NOR gates are called universal gates because they :
(A) Are universally available and cheap
(B) Can be combined to produce OR, AND, and NOT gates
(C) Are widely used in integrated circuits
(D) Can be easily manufactured
Explanation:
NAND and NOR gates are considered universal because they can be used to construct all other basic logic gates such as AND, OR, and NOT. By combining multiple instances of these gates in specific configurations, any logical function can be implemented within a digital circuit. This property makes them extremely important in hardware design, as manufacturers can simplify circuit construction by using a single type of gate. Their versatility reduces complexity in integrated circuits and improves efficiency in digital system design.
Option b – Can be combined to produce OR, AND, and NOT gates
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