Consider the circuit in fig shown $$f$$ implements

Consider the synchronous sequential circuit in fig.

(a) Draw a state diagram which is implemented by the circuit. Use the following names for the states corresponding to the values of flip-flops as given below.

(b) Given that the initial state of the circuit is $${S_4},$$ identify the set of states which are not reachable.

A logic network has two data inputs $$A$$ and $$B,$$ and two control inputs $${C_0}$$ and $${C_1}$$. It implements the function $$F$$ according to the following Table.

Implement the circuit using one $$4$$ to $$1$$ Multiplexor, one $$2$$-input Exclusive $$OR$$ gate, one $$2$$-input $$AND$$ gate, one $$2$$-input $$OR$$ gate and one Inverter.

What is the equivalent Boolean expression in product-of-sums form for the Karnaugh map given in fig?