The Boolean equation for the circuit given in the figure is

  • A
    $Y=A+\bar{B}$
  • B
    $Y=\overline{A+B}$
  • C
    $Y=\bar{A}+B$
  • D
    $Y=\bar{A}+\bar{B}$

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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.

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