The output (Y) of the given logic implementat | vedclass

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

Question

(D) The circuit consists of a $NOR$ gate and a $NAND$ gate whose outputs are fed into an $AND$ gate.Let the inputs be $A$ and $B$.The output of the $N

Vedclass · Accepted Answer

$NOR$

Vedclass · Answer

(D) The circuit consists of a $NOR$ gate and a $NAND$ gate whose outputs are fed into an $AND$ gate.Let the inputs be $A$ and $B$.The output of the $NOR$ gate is $Y_1 = \overline{A+B}$.The output of the $NAND$ gate is $Y_2 = \overline{A \cdot B}$.The final output $Y$ of the $AND$ gate is $Y = Y_1 \cdot Y_2 = \overline{A+B} \cdot \overline{A \cdot B}$.Using De Morgan's laws,$\overline{A+B} = \overline{A} \cdot \overline{B}$ and $\overline{A \cdot B} = \overline{A} + \overline{B}$.So,$Y = (\overline{A} \cdot \overline{B}) \cdot (\overline{A} + \overline{B})$.Expanding this,$Y = (\overline{A} \cdot \overline{B} \cdot \overline{A}) + (\overline{A} \cdot \overline{B} \cdot \overline{B})$.Since $\overline{A} \cdot \overline{A} = \overline{A}$ and $\overline{B} \cdot \overline{B} = \overline{B}$,we get $Y = (\overline{A} \cdot \overline{B}) + (\overline{A} \cdot \overline{B})$.Thus,$Y = \overline{A} \cdot \overline{B} = \overline{A+B}$.This is the Boolean expression for a $NOR$ gate.

$A$	$B$	$C$
$0$	$0$	$0$
$0$	$1$	$0$
$1$	$0$	$1$
$1$	$1$	$0$

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

The output $(Y)$ of the given logic implementation is similar to the output of a . . . . . . gate.

Similar Questions

If three logic gates are connected as shown in the figure,then the correct truth table of the circuit is

Digital signals are characterized by which of the following statements?
$(i)$ They do not provide continuous values.
$(ii)$ They represent values in discrete steps.
$(iii)$ They can be represented by a binary system.
$(iv)$ They represent both binary and decimal systems.

The following configuration of gates is equivalent to $:-$

Which of the following circuits correctly represents the following truth table?
$A$ $B$ $C$
$0$ $0$ $0$
$0$ $1$ $0$
$1$ $0$ $1$
$1$ $1$ $0$

Which logic gate is represented by the following truth table?

$A$ $B$ $Y$

$1$ $1$ $0$

$1$ $0$ $0$

$0$ $1$ $0$

$0$ $0$ $1$

Vedclass Test Series

Exam Paper Generator

Online Exam Module