GATE EE 2002 Digital Electronics Q 1 - Grad Plus
GATE EE 2002 Digital Electronics Q 1

GATE EE 2002 Digital Electronics Q 1

For the circuit shown in figure the Boolean expression for the output Y in terms of inputs P, Q, R and S is

a) \overline P+\overline Q+\overline R+\overline S

b) P+Q+R+S

c) \left(\overline P+\overline Q\right)+\left(\overline R+\overline S\right)

d) (P+Q) (R+S)

Ans: (b)

Explanation

Y=\overline{\left(\overline P\cdot\overline Q\right)\cdot\left(\overline R\cdot\overline S\right)} Y=\overline{\overline P\cdot\overline Q}+\overline{\overline R\cdot\overline S} \therefore Y=\left(P+Q+R+S\right)
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