Refer to the logic circuit given below. For two inputs ( $A = 1,\text{ }B = 1$ ) and ( $A = 0,\text{ }B = 1$ ), output (Y) will be $\_\_\_\_$ .

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Refer to the logic circuit given below. For two inputs ( $A = 1,	ext{ }B = 1$ ) and ( $A = 0,	ext{ }B = 1$ ), output (Y) will be $\_\_\_\_$ .

Accepted Answer

Sol. [Key Concept: Simplify the logic output to $Y = A \cdot \ B'$ (that is, $A$ AND NOT-$B$); for both $(A = 1,B = 1)$ and $(A = 0,B = 1)$ this gives $Y = 0$.]$${y = \overline{\overline{A} + B + \overline{A}B} }{= \overline{\overline{A} + B} = \overline{\overline{A}} \cdot \overline{B} }{= A\overline{B} }$$for $A = 1,	ext{ }B = 1,y = 0$for $A = 0,	ext{ }B = 1,y = 0$

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