To get an output of 1 from the circuit shown | vedclass

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

Question

(C) The given circuit consists of an $OR$ gate followed by an $AND$ gate. Let the output of the $OR$ gate be $X = a + b$. The final output of the circ

Vedclass · Accepted Answer

$a = 1, b = 0, c = 1$

Vedclass · Answer

(C) The given circuit consists of an $OR$ gate followed by an $AND$ gate. Let the output of the $OR$ gate be $X = a + b$. The final output of the circuit is $Y = X \cdot c = (a + b) \cdot c$.For the output $Y$ to be $1$,both inputs to the $AND$ gate must be $1$. Therefore,$(a + b) = 1$ and $c = 1$.For $(a + b) = 1$,at least one of $a$ or $b$ must be $1$.Checking the options:Option $A$: $a=0, b=0, c=1 \implies Y = (0+0) \cdot 1 = 0 \cdot 1 = 0$.Option $B$: $a=1, b=0, c=0 \implies Y = (1+0) \cdot 0 = 1 \cdot 0 = 0$.Option $C$: $a=1, b=0, c=1 \implies Y = (1+0) \cdot 1 = 1 \cdot 1 = 1$.Option $D$: $a=0, b=1, c=0 \implies Y = (0+1) \cdot 0 = 1 \cdot 0 = 0$.Thus,the correct input is $a=1, b=0, c=1$.

To get an output of $1$ from the circuit shown in the figure,the input must be:

Similar Questions

Which of the following is the Boolean expression for a $NOR$ gate?

The following configuration of logic gates is equivalent to

Identify the logic gate represented by the given circuit.

The following figure shows a logic gate circuit with two inputs $A$ and $B$ and the output $Y$. The voltage waveforms of $A$,$B$,and $Y$ are as given. The logic gate is:

Which logic gate is represented by the following truth table?
$A$ $B$ $Y$
$0$ $0$ $0$
$0$ $1$ $1$
$1$ $0$ $1$
$1$ $1$ $1$

Vedclass Test Series

Exam Paper Generator

Online Exam Module