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Given that x + y = y (with y = 1), F_1 = xy' + y', F_2 = x' + y and F_3 = xy', then value of F_1, F_2…

From \( x + y = y \), multiplying both sides by \( y' \) gives \( xy' = 0 \), so \( F_3 = xy' = 0 \), and by De Morgan's law \( F_2 = x' + y = (xy')' = 1 \). With \( y = 1…

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Given that x + y = y (with y = 1), F_1 = xy' + y', F_2 = x' + y and F_3 = xy', then value of F_1, F_2 and F_3 are respectively:

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Correct answer A

From x+y=y x + y = y , multiplying both sides by y′ y' gives xy′=0 xy' = 0 , so F3=xy′=0 F_3 = xy' = 0 , and by De Morgan's law F2=x′+y=(xy′)′=1 F_2 = x' + y = (xy')' = 1 . With y=1 y = 1 , y′=0 y' = 0 , which yields F1=xy′+y′=0+0=0 F_1 = xy' + y' = 0 + 0 = 0 , giving the triple 0 , 1 , 0.

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