Find the Boolean expression for the logic circuit shown below.

The Boolean expression $Y = A \bar{B} C + \bar{A} \bar{C}$ can be realized with which of the following gate configurations?
$A.$ One $3$-input $\text{AND}$ gate,$2$ $\text{NOT}$ gates,one $2$-input $\text{AND}$ gate,and one $2$-input $\text{OR}$ gate.
$B.$ One $3$-input $\text{AND}$ gate,$2$ $\text{NOT}$ gates,one $2$-input $\text{NAND}$ gate,and one $2$-input $\text{OR}$ gate.
$C.$ One $3$-input $\text{OR}$ gate,$3$ $\text{NOT}$ gates,and one $2$-input $\text{AND}$ gate.
Choose the correct answer from the options given below.

The figure shows a system of logic gates. From the study of the truth table,it can be found that to produce a high output $(1)$ at $R$,we must have

What is the logic gate with one input and one output?

In the logic circuit diagram,when all the four inputs $A, B, C, D$ are $1$,the outputs $Y_1, Y_2, Y_3$ are respectively $(1, 1, 0)$. When all the inputs $A, B, C, D$ are changed to $0$,the outputs $Y_1, Y_2, Y_3$ respectively change to

Which of the following logic gates will have an output of $1$?