Convert logic circuit to minimised, Computer Engineering

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The logic circuit shown in the given figure can be minimised to

295_Convert logic circuit to minimised.png

Ans. The minimised figure of logic diagram is D, the output of the logic circuit is as

Y=(X+Y')'+(X'+(X+Y')')' (X+Y')'=X'Y

By using DE Morgan's here it is one of input of 2^nd gate.

F=(A+X')'=A'X=[(X'Y)'.X]
=[(X+Y')X]=X+XY'=X(Y')
=X

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