Final answer:
The query involves designing a decade counter using a 2-4-2-1 weighted code for different flip-flop types. The counter should count up to 10 (in binary 1010) and then reset to 0. Each type of flip-flop requires unique connections and additional logic for proper sequencing and resetting.
Step-by-step explanation:
The student's question pertains to the design of a decade counter using different types of flip-flops adhering to a 2-4-2-1 weighted code. This is a digital design problem that involves creating sequential logic circuits capable of counting from 0 to 9 and then recycling. Decade counters are commonly used in digital clocks, timers, and other devices requiring a count in base ten.
Designing a Decade Counter with Different Flip-Flops
To design such a counter, we must first understand that a decade counter requires four flip-flops to represent the ten unique states (0000 to 1001 in binary for 0 to 9 in decimal, respectively). The flip-flops will be arranged to increment the count with each clock pulse, and reset back to zero once a count of ten (1010 in binary) is reached.
In the context of the counter utilizing the given 2-4-2-1 weighted code, we can view the bits as representing weights for their respective decimal values. For clarity, let's assign the bits as D (1), C (2), B (4), and A (2). Thus, a binary representation of 1010 would signify 1*2 + 0*4 + 1*2 + 0*1 = 4 in decimal, which is not part of the decade count and highlights the need for resetting the counter.
Using D flip-flops, one would connect the output of each flip-flop to the input of the next in such a way that it reflects the desired sequence and includes additional logic to reset the counter when it reaches a decimal value of 10. A similar approach would be taken with J-K flip-flops and T flip-flops, but the connections and the logic would be tailored to the specific characteristic of each type of flip-flop. J-K flip-flops, for instance, would require a carefully designed feedback logic to control the J and K inputs for the desired count sequence, while T flip-flops would necessitate a toggle logic arrangement that complements the output for every clock pulse.
Finally, S-R flip-flops are basic flip-flops and would need additional gating logic to ensure that the S (Set) and R (Reset) inputs are correctly managed to deliver the 2-4-2-1 count before resetting the counter.
In all cases, careful attention must be given to the design of the feedback and reset mechanisms to prevent illegal states and ensure that the counter operates correctly within the decimal range [0,9].