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

Laser beams are used to measure long distances because

Which of the following statements is false?

$A$ given mass of a gas is compressed isothermally until its pressure is doubled. It is then allowed to expand adiabatically until its original volume is restored and its pressure is then found to be $0.75$ of its initial pressure. The ratio of the specific heats of the gas is approximately :

$A$ Wheatstone bridge is balanced. Find the ratio of electric power dissipated in $(P + Q)$ to $(R + S)$.

The line $2x + \sqrt{6}y = 2$ is a tangent to the curve $x^2 - 2y^2 = 4$. The point of contact is

Vedclass Test Series

Exam Paper Generator

Online Exam Module