The diagram of a logic circuit is given below | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The circuit consists of two $OR$ gates followed by an $AND$ gate.Output of the upper $OR$ gate $= W + X$.Output of the lower $OR$ gate $= W + Y$.T

Vedclass · Accepted Answer

$W + (X \cdot Y)$

Vedclass · Answer

(C) The circuit consists of two $OR$ gates followed by an $AND$ gate.Output of the upper $OR$ gate $= W + X$.Output of the lower $OR$ gate $= W + Y$.These two outputs are fed into an $AND$ gate.Therefore,the net output $F = (W + X) \cdot (W + Y)$.Using the distributive law of Boolean algebra: $F = W \cdot W + W \cdot Y + X \cdot W + X \cdot Y$.Since $W \cdot W = W$,we have $F = W + W \cdot Y + X \cdot W + X \cdot Y$.Factoring out $W$: $F = W(1 + Y + X) + X \cdot Y$.Since $(1 + Y + X) = 1$,we get $F = W \cdot 1 + X \cdot Y = W + X \cdot Y$.

The diagram of a logic circuit is given below. The output $F$ of the circuit is represented by

Similar Questions

$A$ thin plano-convex lens of focal length $73.5 \text{ cm}$ has a circular aperture of diameter $8.4 \text{ cm}$. If the refractive index of the material of the lens is $\frac{5}{3}$, then the thickness of the lens is nearly

When is the immune response most intense?

Four masses are fixed on a massless rod as shown in the figure. The moment of inertia about the axis $PQ$ is about ........ $kg-m^2.$

$A$ thin circular wire carrying a current $I$ has a magnetic moment $M$. The shape of the wire is changed to a square and it carries the same current. It will have a magnetic moment

According to Hess's law,the heat of reaction depends upon:

Vedclass Test Series

Exam Paper Generator

Online Exam Module