Design a synchronous counter using D flip-flops such that the count sequence of the counter follows the digits in 19195.

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Design a synchronous counter using D flip-flops such that the
count sequence of the
counter follows the digits in 19195. Each state must be 4-bit.
Follow the
steps below:
(i) Construct the state transition table of the counter.
(ii) Find the simplest SOP expression for each D flip-flops inputs
using K-Map.
(iii) Draw the counter circuit.
(iv) Determine the next state of all the unused states in your
design.