Q. The figure 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
Explanation

(b) The truth table of the circuit is given
[table] $\mathbf{A}$ | $\mathbf{B}$ | $\mathbf{C}$ | $\mathbf{X}\mathbf{=}\overline{\mathbf{AB}}$ | $\mathbf{Y}\mathbf{=}\overline{\mathbf{BC}}$ | $\mathbf{Z}\mathbf{=}\overline{\mathbf{X}\mathbf{+}\mathbf{Y}}$ ; 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 [/table]
Output $Z$ of single three input gate is that of AND gate

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.