Question

# For which one of the following input combinations, the given logic circuit gives the output $$Y = 1$$?

A
A=0,B=0,C=0
B
A=0,B=1,C=0
C
A=0,B=1,C=1
D
A=1,B=1,C=1
E
A=1,B=0,C=1

Solution

## The correct option is C $$A = 0, B = 1, C = 1$$The logic circuit isThe output,$$Y = \overline{\overline {\overline {A} \cdot B} + \overline {C}} = \overline {\overline {\overline {A} \cdot B} \cdot \overline {C}} = \overline {A} \cdot B\cdot C$$$$[\overline {A + B} = \overline {A} \cdot \overline {B}$$, Demorgan's law]when $$A = 0, B = 1, C = 1$$, then $$Y = 1 [\because \overline {A} = 1]$$.Physics

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