The output of the circuit is low (zero) for: $(A) \ X = 0, Y = 0$,$(B) \ X = 0, Y = 1$,$(C) \ X = 1, Y = 0$,$(D) \ X = 1, Y = 1$. Choose the correct answer from the options given 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.

Find the values of $Y_1$ and $Y_2$ respectively in the following logic circuit if both $A$ and $B$ are $1$.

Sketch the output $Y$ from a $NAND$ gate having inputs $A$ and $B$ as shown in the figure.

Which option represents the correct truth table for the logic circuit shown below?

In the following logic circuit,the sequence of the inputs $A, B$ are $(0, 0), (0, 1).$ The output $Y$ for this sequence will be