A building has two overhead water tanks, each | vedclass

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

Question

(B) The problem states that the sensor output is $0$ when the water level is below the set value, and $1$ otherwise.We want the pump to turn on $(P =

Vedclass · Accepted Answer

Vedclass · Answer

(B) The problem states that the sensor output is $0$ when the water level is below the set value, and $1$ otherwise.We want the pump to turn on $(P = 1)$ if at least one tank has a water level below the set value.This means $P = 1$ if $S_1 = 0$ OR $S_2 = 0$.Using Boolean algebra, this is equivalent to $P = \overline{S_1} + \overline{S_2}$.By De Morgan's Law, $\overline{S_1} + \overline{S_2} = \overline{S_1 \cdot S_2}$.This is the Boolean expression for a $NAND$ gate.Looking at the options:Option $A$ is an $OR$ gate fed by two $AND$ gates: $P = (S_1 \cdot S_2) + (S_1 \cdot S_2) = S_1 \cdot S_2$.Option $B$ is an $OR$ gate fed by two $NAND$ gates: $P = \overline{S_1 \cdot S_2} + \overline{S_1 \cdot S_2} = \overline{S_1 \cdot S_2}$.This matches our requirement $P = \overline{S_1 \cdot S_2}$.Therefore, the correct circuit is $B$.

Similar Questions

The output $Y$ of the following circuit for given inputs $A$ and $B$ is:

The correct Boolean operation represented by the circuit diagram shown is:

Consider the logic circuit with inputs $A, B, C$ and output $Y$. How many combinations of $A, B$ and $C$ give the output $Y=0$?

Sketch the output $Y$ from a $NAND$ gate having inputs $A$ and $B$ as shown in the figure.

The truth table for the circuit shown in the figure is

Vedclass Test Series

Exam Paper Generator

Online Exam Module