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WorksheetsLogic gates and Boolean Algebra unit 1 Quiz 1
Total questions: 70
Worksheet time: 1hrs 10mins
Identify the correct universal gate for airbag deployment in automobiles.
OR
AND
NAND
XOR
Select the correct logic gate for a cooling system in a food processing plant that turns ON only when temperature and humidity cross thresholds.
OR
AND
NOR
XOR
Choose the correct Universal gates that allow implementation of any Boolean function.
OR/NAND
NAND/NOR
XOR/NAND
AND/NOR
Choose the Boolean expression for a railway green signal activation only when track is clear and train speed is safe.
A + B
A · B
A ⊕ B
A’ + B’
Identify the industry sector where Gate minimization through Karnaugh maps is extensively applied in VLSI design.
Textile
Semiconductor
Food
Agriculture
Determine the correct logic gate for a water treatment pump that runs if the water level is low or chemical dosing is required.
AND
OR
NOR
XOR
Choose the Boolean expression for a reactor safety valve that opens when pressure rises or temperature exceeds a limit.
P · T
P + T
P ⊕ T
P’ · T’
Select the reason for preference of NAND and NOR due to reduced transistor count in IC fabrication.
Higher speed
Lower power
Fewer transistors
Easy layout
An Amazon warehouse conveyor starts only if a parcel is detected and belt is free. Select the Boolean form.
P + B
P · B
P ⊕ B
P + B’
A truth table row with output always zero corresponds to a particular gate. Identify the gate.
OR
NOR
NAND
AND
Elevator motors activate if a button is pressed or an emergency override is applied. Select the Boolean form.
B + E
B · E
B ⊕ E
B’E’
Successful booking in a movie ticketing app like BookMyShow requires all conditions satisfied. Select the correct gate.
AND
OR
XOR
NOR
Smart irrigation activates water flow when soil is dry and valve is open. Select the Boolean form.
S + V
S · V
S ⊕ V
S’ + V
Logic simplification reduces cost and complexity in circuit design. Identify the method used.
DeMorgan’s law
Karnaugh map
Half adder
Flip-flop
Drone propellers rotate when battery is charged and motor enabled. Select the Boolean form.
B + M
B · M
B ⊕ M
B + M’
Output of a NAND gate equals the inverse of a specific gate. Identify the gate.
AND
OR
NOR
XOR
Smart home lights turn ON when motion is detected or switch pressed. Select the Boolean form.
M + S
M · S
M ⊕ S
M’S
GE medical scanners start operation only if patient ready and system initialized. Select the Boolean form.
P + S
P · S
P ⊕ S
P’S
A smart parking system raises the barrier only when payment is done and slot availability confirmed. Expression?
P + S
P · S
P ⊕ S
P + S’
A hospital oxygen monitoring system triggers alarm if oxygen level is low or pressure falls. Expression?
O + P
O · P
O ⊕ P
O · P’
A smart classroom projector powers ON if master switch is active and password validated. Expression?
M + P
M · P
M ⊕ P
M + P’
A CNC machine begins cutting when material loaded and program executed. Expression?
M + P
M · P
M ⊕ P
M · P’
A factory robotic arm operates only if safety cage is locked and start command is given. Expression?
S + C
S · C
S ⊕ C
S + C’
A smart refrigerator cooling compressor starts when door closed and temperature exceeds set point. Expression?
D + T
D · T
D ⊕ T
D + T’
A metro train departs only if doors are closed and green signal received. Expression?
D + G
D · G
D ⊕ G
D + G’
A power plant turbine starts when fuel supply ON and ignition enabled. Expression?
F + I
F · I
F ⊕ I
F + I’
A 3D printer resumes job when power is restored and filament available. Expression?
P + F
P · F
P ⊕ F
P + F’
A hospital ventilator operates when patient connected and power ON. Expression?
C + P
C · P
C ⊕ P
C + P’
A logic circuit with F = A + AB simplifies to.
A
B
A’
AB
A K-map solution groups all minterms in one row. Simplified result equals.
A
B
Single variable
Zero
A PLC alarm expression F = A’B’ + A’B simplifies to.
A’
B
A
AB
A circuit with F = AB + A’B produces which operation?
XOR
XNOR
OR
NOR
A safety system represented by F = (P + Q)(P + Q’) simplifies to.
P
Q
PQ
P’
A smart grid system with F = A + A’B reduces to.
A + B
AB
A
B
A function F = (AB + AB’) simplifies to.
A
B
A’
AB
A circuit expression F = (X + Y)(X’ + Y) simplifies to.
Y
X
XY
X + Y
A railway signal circuit F = (T + T’) simplifies to.
1
0
T
T’
A drone returns home when low battery detected or manual override pressed. Expression?
B + O
B · O
B ⊕ O
B + O’
A chemical mixer activates only when both input valves are open. Expression?
V1 + V2
V1 · V2
V1 ⊕ V2
V1 + V2’
A mobile tower backup generator starts when main power fails or battery backup fails. Expression?
P + B
P · B
P ⊕ B
P’ · B’
A supermarket billing counter opens gate if bill is paid and receipt printed. Expression?
B + R
B · R
B ⊕ R
B + R’
A weather monitoring system sends alert if cyclone detected or rainfall above threshold. Expression?
C + R
C · R
C ⊕ R
C + R’
A factory safety system must reduce logic gates used while keeping reliability high. Select the best technique.
Truth table expansion
Karnaugh map
Redundant coding
Parity checking
A designer must choose between NAND-only and NOR-only implementation for cost efficiency. Select the better choice in CMOS technology.
NAND
NOR
XOR
AND
A smart home company must reduce power consumption in Boolean circuit design. Select the most effective approach.
Gate minimization
Gate duplication
Multi-level design
Flip-flop addition
A production unit compares POS vs SOP implementation. SOP is selected. Reason?
Easier NAND mapping
Easier NOR mapping
Always smaller
Lower delay
A K-map group overlaps for better minimization. Select the justification.
Reduces variables
Increases complexity
Increases cost
Blocks XOR
A team checks whether redundant terms in Boolean expression improve efficiency. Select the outcome.
No improvement
Higher speed
Lower transistor count
Optimized cost
A fire alarm circuit F = AB + A’B is tested. The result corresponds to.
XOR
XNOR
OR
NAND
A designer builds smart irrigation using soil sensor S and valve V. Requirement: ON if soil is dry and valve open. Draft the logic expression.
S · V
S + V
S ⊕ V
S + V’
A student designs a smart helmet that stops bike ignition unless strap fastened and ignition key turned. Draft the Boolean expression.
S · K
S + K
S ⊕ K
S + K’
A metro ticketing gate opens if card valid and balance sufficient. Draft the Boolean form.
C · B
C + B
C ⊕ B
C + B’
A drone system must return home if GPS lost or low battery detected. Draft the expression.
G + B
G · B
G ⊕ B
G + B’
A smart classroom fan turns ON if temperature above threshold or manual override is pressed. Draft the expression.
T + M
T · M
T ⊕ M
T + M’
A smart grid disconnects load if frequency unstable or voltage exceeds limit. Draft the expression.
F + V
F · V
F ⊕ V
F + V’
A water purifier pump runs when tank not full and power available. Draft the expression.
T’ · P
T + P
T ⊕ P
T · P
A robotic door unlocks when valid PIN entered and face recognition passed. Draft the expression.
P · F
P + F
P ⊕ F
P + F’
An automated toll gate lifts barrier if payment confirmed and vehicle detected. Draft the expression.
P · V
P + V
P ⊕ V
P + V’
A robotic vacuum cleaner starts when start button pressed and dust bin is empty. Draft the expression.
S · D
S + D
S ⊕ D
S + D’
Select the correct Universal gate for implementation of the Boolean expression for a railway green signal activation only when the track is clear and the train speed is safe. Is this correct?
AND
OR
NAND
NOR
Select the canonical form expressed as a sum of minterms.
Standard POS
Standard SOP
Simplified SOP
Simplified POS
Identify the minterm expression for F(A, B) = A + B.
A'B' + A'B
AB + A'B
AB' + A'B
A'B' + AB
Determine the minterm corresponding to A=1, B=0, C=1.
AB'C
A'BC
ABC'
A'B'C
Choose the maxterm corresponding to A=0, B=1, C=0.
(A + B + C)
(A' + B + C')
(A + B' + C)
(A + B' + C')
Select the primary purpose of using Karnaugh maps in Boolean algebra.
To implement sequential circuits
To convert decimal to binary
To minimize Boolean expressions
To draw truth tables only
Determine the largest possible grouping for adjacent 1s in a 4-variable K-map.
2
4
6
8
Choose the simplified Boolean expression for the 2-variable function F(A, B) = Σm(1,3).
A
B
A.B
A+B
Select the correct adjacency rule in a K-map.
Only horizontal cells are adjacent
Diagonal cells are adjacent
Only vertical cells are adjacent
Horizontal, vertical, and wrap-around cells are adjacent
Choose the simplified expression for F(A, B, C) = Σm(1, 3, 5, 7).
A
B
C
A+B
Identify the advantage of using don’t care conditions in a Karnaugh map.
They increase the number of minterms
They decrease the number of variables
They help in further simplification
They eliminate the need for logic gates
