D flip-flop, S-R master-slave flip-flop, falling edge of clock, NAND

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SUMMARY

The discussion focuses on the implementation of a D flip-flop using an S-R master-slave flip-flop that operates on the falling edge of the clock, utilizing NAND gates with a propagation delay (Tpd) of 1ns. Key parameters to determine include the set-up time (Tsu), hold time (Th), and propagation delay (Tpd) for the D flip-flop. Additionally, the conversion of a master-slave S-R flip-flop into a J-K flip-flop is explored, along with a comparison of their behaviors, particularly in relation to falling edge-triggering. The fundamental differences in operation between these flip-flops are crucial for understanding their timing characteristics.

PREREQUISITES
  • Understanding of D flip-flop and S-R master-slave flip-flop concepts
  • Knowledge of NAND gate operation and propagation delay
  • Familiarity with timing parameters: set-up time (Tsu), hold time (Th), and propagation delay (Tpd)
  • Basic principles of digital logic design and flip-flop behavior
NEXT STEPS
  • Calculate the set-up time (Tsu) and hold time (Th) for the D flip-flop using NAND gates
  • Learn about the conversion process from S-R flip-flop to J-K flip-flop using logic gates
  • Investigate the timing diagrams for falling edge-triggered J-K flip-flops
  • Explore the implications of propagation delays in synchronous digital circuits
USEFUL FOR

Electrical engineers, digital circuit designers, and students studying digital logic who are looking to deepen their understanding of flip-flop design and timing analysis.

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Homework Statement


A D flip-flop is implemented using an S-R master-slave flip-flop that changes states on the falling edge of the clock. Assume that the circuit is fabricated using NAND gates and that each gate has exactly a propagation delay Tpd = 1ns.

a) Determine the set-up (Tsu), hold (Th), and propagation delay (Tpd) parameters for this D flip-flop.

b)
*Convert a master-slave S-R flip-slop into a J-K using the appropriate gates.
*Compare the behaviour of this circuit to a falling edge-triggered J-K flip-flop. What are the fundamental differences?

Homework Equations


N/A

The Attempt at a Solution


I watched this video ( ) and, it helped me somewhat understand the basics but, I am still not too certain as to what is going on, specifically, and I'm unsure as to how I should start this problem.

I don't know what else to say but, if you need to me to say something, ask me.

Any help in solving this problem would be greatly appreciated!
 
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Draw the logic diagram for the D-Type using NAND gates. Explore what happens when you keep the clock = 1 but D changes. The change on D will propagate around inside the latch. What happens if the clock falls while that's still happening? Will the output Q end up as the old or new value of D? If you want Q to become the new value of D how long do you need to allow for the change to propagate around inside the latch before the clock can change. That's the set up time.
 

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