Which Boolean algebra property states A+A=AA + A = AA+A=A?
A Commutative Law
B Associative Law
C Idempotent Law
D Distributive Law
The Idempotent Law in Boolean algebra states that combining a variable with itself using OR (or AND) results in the same variable.
What is the binary equivalent of the decimal number 25?
A 11101
B 11001
C 10011
D 10101
The binary representation of 25 is 11001, calculated as 16+8+1.
What is the primary function of ROM in a digital system?
A Store data temporarily
B Store data permanently
C Perform logical operations
D Control clock signals
ROM (Read-Only Memory) stores data permanently and is non-volatile, retaining data even when power is turned off.
Which device converts digital signals to analog signals?
A ADC
B DAC
C ROM
D RAM
A Digital-to-Analog Converter (DAC) converts digital binary data into continuous analog signals.
What is the primary function of a latch in digital electronics?
A Store a single bit of data
B Perform arithmetic operations
C Decode binary data
D Generate clock pulses
A latch is a basic memory device that stores one bit of data and maintains its state until triggered to change.
Which Boolean expression simplifies A+A′BA + A’BA+A′B?
A BBB
B AAA
C A+BA + BA+B
D A′A’A′
Using the Consensus Theorem, A+A′BA + A’BA+A′B simplifies to A+BA + BA+B.
How many cells does a 3-variable Karnaugh map have?
A 4
B 6
C 8
D 16
A 3-variable K-map has 2³ = 8 cells, representing all possible combinations of the three variables.
What is the role of a clock signal in sequential circuits?
A Amplify signals
B Synchronize operations
C Perform arithmetic operations
D Decode binary inputs
The clock signal ensures that sequential circuit operations occur at precise intervals and remain synchronized.
What does the term “hold time” refer to in digital circuits?
A Time required for a clock pulse
B Time the input must remain stable after the clock edge
C Time for a signal to propagate through a gate
D Time to store data in memory
Hold time is the minimum time for which the input signal must remain stable after the clock edge to ensure correct operation.
Which type of memory loses its content when power is turned off?
A ROM
B Flash Memory
C RAM
D EEPROM
RAM (Random Access Memory) is volatile and loses its data when the power supply is removed.
What is the hexadecimal equivalent of binary 10111010?
A BA
B A9
C B9
D AB
Group binary digits into two 4-bit segments: 1011=B and 1010=A, resulting in BA.
What is the output of a NOR gate when all inputs are low?
A 0
B 1
C Undefined
D Depends on inputs
A NOR gate outputs 1 only when all inputs are low (0).
What is the simplified form of AB+A′B+AB′?
A A+BA + BA+B
B BBB
C AAA
D ABABAB
By applying the Consensus Theorem and Boolean algebra rules, AB+A′B+AB′ simplifies to A+BA + BA+B.
What does the term “propagation delay” refer to?
A Time to stabilize clock signals
B Time for a signal to travel through a logic gate
C Time to store data in memory
D Time to perform addition
Propagation delay is the time it takes for a change in input to result in a corresponding change in output.
Which type of ROM can be erased using ultraviolet light?
A PROM
B EPROM
C EEPROM
D Flash Memory
EPROM (Erasable Programmable Read-Only Memory) can be erased by exposing it to ultraviolet light.
What is the binary equivalent of decimal 45?
A 101101
B 110011
C 110101
D 101011
Decimal 45 is represented in binary as 101101, calculated as 32+8+4+1.
What is the main advantage of using a Karnaugh map?
A Faster circuit execution
B Simplifying Boolean expressions
C Generating clock signals
D Storing binary data
Karnaugh maps visually simplify Boolean expressions, reducing the number of gates required in a digital circuit.
Which Boolean algebra property states A⋅(B+C)=AB+AC?
A Commutative Law
B Associative Law
C Distributive Law
D Absorption Law
The Distributive Law allows distributing a term across terms inside parentheses, such as A⋅(B+C)=AB+AC.
What is the decimal equivalent of binary 100101?
A 39
B 38
C 37
D 36
Binary 100101 equals 32+4+1=37.
What is the primary function of SRAM?
A Store data permanently
B Provide faster access compared to DRAM
C Perform logical operations
D Generate clock pulses
SRAM (Static RAM) is faster than DRAM because it does not need to be refreshed, making it suitable for cache memory.