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.