Which Boolean expression represents a circuit that activates a relay only when at least two of three sensors (A, B, C) are ON?

If a NOR gate’s inputs are both tied together and connected to signal A, what is the resulting output function?

A system alarm turns ON (logic 1) if the temperature sensor is active (T=1) and either smoke (S=1) or motion (M=1) is detected. What is the Boolean expression?

Simplify the Boolean expression Y=A'B+AB'/+ABY = A'B + AB' + ABY=A'B+AB'+AB.

Which logic gate’s output is LOW only when all inputs are HIGH?

In a 4-input AND gate, what is the probability of getting a HIGH output if each input has a 0.5 probability of being HIGH?

A fault causes the output of an XOR gate to behave like an OR gate. Which type of failure most likely occurred?

A combinational circuit is defined as Y=(A+B’)(C+D). For A=0,B=1,C=1,D=0, what is Y?

If the Boolean function F(A,B,C)=Σ(1,3,5,7), what simplified expression does it represent?

You must design a logic system that outputs 1 when the number of 1’s in the 3-bit input (A, B, C) is odd. What type of circuit is this?

In a ladder logic representation of an AND gate, both switches must be:

Which logic function cannot be realized using only XOR gates?

What is the canonical form of F=A+BCF = A + BCF=A+BC?

A system’s output is 1 only when exactly two out of three inputs are 1. What is the Boolean function?

Which logic gate is functionally complete on its own?

If a NAND gate has one input permanently tied HIGH, it behaves like:

Simplify (A+B)(A+B')(A + B)(A + B')(A+B)(A+B').

A 3-input NOR gate output is 1 only when:

What are the prime numbers between 1 and 10?

A logic gate has the Boolean expression F=(A+B)'C+AF = (A + B)C + AF=(A+B)'C+A. Simplify it.

In a relay logic system, a parallel contact arrangement corresponds to which digital logic gate?

Which of the following circuits implements the function Y=AB+A'C'?

In a fault-tolerant design, a triple modular redundancy (TMR) circuit uses:

Simplify the Boolean function Y=A'B'C+A'BC+AB'CY = A'BC + A'BC + AB'CY=A'B'C+A'BC+ABC.

A logic analyzer shows a 4-bit signal cycling through 0000 → 0001 → 0011 → 0111 → 1111 and repeats. Which circuit most likely produces this pattern?

You are tasked to design a car door safety system where the alarm turns ON if door is open (D = 1) AND ignition is ON (I = 1). Which expression represents the logic?

A three-input logic gate produces an output 1 only when exactly two inputs are high. What type of gate behavior does this describe?

You observe that a NAND gate connected to another NAND gate behaves as an AND gate. This happens because:

A logic circuit controlling an automatic streetlight turns ON when it is dark (L = 0) and motion is detected (M = 1). Which simplified Boolean expression matches this?

If a half-adder circuit has inputs A = 1 and B = 1, what will be the Sum and Carry outputs?

In a BCD-to-7-segment display, segment “g” lights for certain binary inputs. What logic function is being implemented in that segment driver?

A logic gate is used to debounce a mechanical switch. Which gate type helps achieve this when paired with a capacitor?

A circuit outputs 1 only if A and B are not equal. Identify the logic gate.

In an elevator safety system, the control signal activates only if weight < limit AND door closed AND floor selected. This logic function can be implemented using:

A combinational circuit outputs 1 for binary inputs 010 and 101. What is the Boolean expression in SOP form?

If a logic circuit uses a universal gate to perform any logic function, which gate could that be?

A sensor-based security system has three sensors: Door (D), Window (W), and Motion (M). The alarm triggers when any two or more sensors are active. Which Boolean function best represents this?

NOR

A designer uses De Morgan’s theorem to simplify the expression (AB)’+C(AB)’ + C(AB)’+C. What is the equivalent?

An industrial control panel outputs HIGH when machine is ON and temperature < 80°C. If M=1 (ON), T=0 (below limit), what logic operation is needed?

A NAND–NOR combination produces an inverted output of an AND gate. Which Boolean property supports this behavior?

You need to detect if a binary number is divisible by 2. Which single input should be analyzed in the logic circuit?

When the input to a NOT gate changes from LOW to HIGH, the output experiences a propagation delay. Which factor most affects this?

A designer replaces all AND–OR combinations with NAND-only logic to simplify fabrication. This principle is known as:

A 4-to-1 MUX is used to implement a logic function F(A,B,C)=Σ(1,2,6,7). Which inputs of the MUX should be tied HIGH?

In relay control logic, an inverter output drives a transistor switch. What is the main reason for this design?

A logic gate array is used to implement programmable control for an elevator. Which technology allows modification of gate connections post-fabrication?

A traffic light controller cycles through RED, GREEN, and YELLOW states using flip-flops. The control logic type is:

An electrical engineering student measures an unexpected oscillation at the output of a NOT gate. The most probable cause is: