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On the topic of synchronous and asynchronous counters, how would you construct a counter that follows the sequence below, using a minimum number of 74LS163 ICs counters and external logic gates?

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Final answer:

To construct a counter that follows a given sequence, we can use a combination of synchronous and asynchronous counters, such as the 74LS163 IC, along with external logic gates.

Step-by-step explanation:

To construct a counter that follows the given sequence using a minimum number of 74LS163 ICs counters and external logic gates, we can use a combination of synchronous and asynchronous counters.

First, let's determine the number of bits needed to represent the given sequence. The sequence has 7 steps, so we need 3 bits (2^3 = 8, which is greater than 7).

We can use a 3-bit synchronous counter (74LS163) for the first 3 steps of the sequence. Then, we can use a 4-bit asynchronous counter (74LS163) to handle the remaining 4 steps. We can use external logic gates to combine the outputs of the two counters and create the desired sequence.

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