Question

The logic circuit given in the figure performs the logic operation

• A. $ABC$
• B. $AB\bar{C}$
• C. $A\bar{B}C$
• D. $\bar{A}B\bar{C}$

Answer 1

Answer: (C)

$A\bar{B}C$

Answer 2

The output of the given logic circuit is $Y =\overline{\bar{A}+\bar{B}+\bar{C}}$ $\Rightarrow \bar{Y} =\bar{A}+B+\bar{C}$ So, applying De Morgan's theorem, $\bar{\bar{Y}}=\bar{\bar{A}.} \bar{B}. \bar{\bar{C}}$ $\Rightarrow Y= A\, \bar {B}\, C$ $\therefore$ The given circuit will perform the logic operation $A\, \bar {B} \, C$