Four NOR gates are connected as shown in the | vedclass

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

Question

(B) Let the output of the first $NOR$ gate be $C = \overline{A+B}$.This signal $C$ is fed into the next two $NOR$ gates along with inputs $A$ and $B$

Vedclass · Accepted Answer

$A, B$$Y$$0, 0$$0$$0, 1$$1$$1, 0$$1$$1, 1$$0$

Vedclass · Answer

(B) Let the output of the first $NOR$ gate be $C = \overline{A+B}$.This signal $C$ is fed into the next two $NOR$ gates along with inputs $A$ and $B$ respectively.The outputs of these two gates are $D = \overline{A+C} = \overline{A+\overline{A+B}}$ and $E = \overline{B+C} = \overline{B+\overline{A+B}}$.Using De Morgan's theorem,$D = \overline{A} \cdot (A+B) = \overline{A}A + \overline{A}B = 0 + \overline{A}B = \overline{A}B$.Similarly,$E = \overline{B} \cdot (A+B) = \overline{B}A + \overline{B}B = A\overline{B} + 0 = A\overline{B}$.The final output $Y$ is the $NOR$ of $D$ and $E$: $Y = \overline{D+E} = \overline{\overline{A}B + A\overline{B}}$.This is the expression for an $XOR$ gate,which is $A \oplus B$.The truth table for $A \oplus B$ is:$A, B$$Y$$0, 0$$0$$0, 1$$1$$1, 0$$1$$1, 1$$0$

Four $NOR$ gates are connected as shown in the figure. The truth table for the given figure is:

Similar Questions

The truth table given below corresponds to which logic gate?
$A$ $B$ $Y$
$0$ $0$ $0$
$0$ $1$ $1$
$1$ $0$ $1$
$1$ $1$ $0$

The logic circuit shown has the input waveforms $A$ and $B$ as shown. Pick out the correct output waveform.

The figure shows two $NAND$ gates followed by a $NOR$ gate. The system is equivalent to the following logic gate:

For the given logic circuit, which of the following input combinations will make both $LED-1$ and $LED-2$ glow?

What is the output $D$ for the inputs $(A=0, B=0, C=0)$ and $(A=1, B=1, C=0)$ respectively?

Vedclass Test Series

Exam Paper Generator

Online Exam Module