What is the setup time requirement for a D flip-flop in a shift register operating at 100 MHz clock frequency?
ASetup time < 10 ns before clock edge
BSetup time < 5 ns before clock edge
CSetup time must be zero
DSetup time depends on manufacturer specifications only
Correct Answer:
D. Setup time depends on manufacturer specifications only
EXPLANATION
Setup time is a manufacturer-specified parameter that varies by IC type and technology. At 100 MHz (10 ns period), typical setup times range from 2-5 ns, but exact requirements must be verified from the datasheet. General frequency calculation alone cannot determine setup time.
In a synchronous counter design using SR flip-flops with Karnaugh map minimization, which hazard is most critical in the implementation?
AStatic hazard only
BDynamic hazard only
CStatic and dynamic hazards
DNo hazards exist in synchronous design
Correct Answer:
C. Static and dynamic hazards
EXPLANATION
Both static hazards (output glitches) and dynamic hazards (multiple transitions) can occur in combinational logic of counter design. Proper K-map grouping and implementation techniques are needed to minimize them.
In asynchronous sequential circuits, what is the primary concern regarding state transitions?
AClock skew
BRace conditions and hazards that may cause incorrect state transitions
CExcessive power consumption
DLimited state count
Correct Answer:
B. Race conditions and hazards that may cause incorrect state transitions
EXPLANATION
Asynchronous circuits lack global clock, so multiple state variables can change simultaneously, causing race conditions and hazards if not carefully designed.
What is the primary function of a state machine in digital design?
AAmplify digital signals
BSequence through predefined states based on inputs and clock
CConvert analog signals to digital
DStore large amounts of data
Correct Answer:
B. Sequence through predefined states based on inputs and clock
EXPLANATION
State machines control digital circuits by transitioning through defined states based on current state, inputs, and clock signals, implementing complex logic sequences.
In a 4-bit BCD adder, what is the maximum sum that can be represented without requiring correction?
A9
B15
C18
D19
Correct Answer:
C. 18
EXPLANATION
In BCD addition, a result of 18 (binary 10010) requires correction code to convert to valid BCD (1000 + carry). Sums up to 9+9=18 need correction when exceeding 9.
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