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

Question

The shows two NAND gates followed by a NOR gate. The system is equivalent to the following logic gate (A) OR (B) AND (C) NAND (D) None of these

Tardigrade Admin · Accepted Answer

The truth table of the circuit is given

$A$	$B$	$C$	$X = \overline{A B}$	$Y = \overline{BC}$	$Z = \overline{X + Y}$
0	0	0	1	1	0
1	0	0	1	1	0
0	0	1	1	1	0
1	0	1	1	1	0
0	1	0	1	1	0
1	1	0	0	1	0
0	1	1	1	0	0
1	1	1	0	0	1

Output

Z

of single three input gate is that of AND gate.

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