Consider a relation table with a single record for each registered student with a single record for each registered student with the following attributes.
$$1.$$ $$Registration$$ $$Num:$$ Unique registration number of each registered student.
$$2.$$ $$UID :$$ Unique identity number, unique at the national level for each cityzen.
$$3.$$ $$BankAccount_Num:$$ Unique account number at the bank. A student can have multiple accounts or joint accounts. This attribute stores the primary account number.
$$4.$$ $$Name:$$ Name of the student
$$5.$$ $$Hostel$$ $$Room:$$ Room number of the hostel.

Which of the following options is INCORRECT?

The simplified $$SOP$$ (Sum of product) form of the Boolean expression
$$\left( {P + \overline Q + \overline R } \right).\left( {P + \overline Q + R} \right).\left( {P + Q + \overline R } \right)$$ is

Which one of the following circuits is NOT equivalent to a $$2$$-input $$XNOR$$ (exclusive NOR) gate

Consider the following circuit involving three Dtypes flip-flops used in a certain type of Counter configuration.

If at some instance prior to the occurrence of the clock edge, $$P, Q$$ and $$R$$ have a value $$0,1$$ and $$0$$ respectively, what shall be the value of $$PQR$$ after the clock edge?