Question

# The combination of NAND gates shown in figure are equivalent to

A
an OR gate and an AND gate respectively
B
an AND gate and a NOT gate respectively
C
an AND gate and an OR gate respectively
D
an OR gate and a NOT gate respectively

Solution

## The correct option is A an OR gate and an AND gate respectively Case-1  C=¯¯¯¯¯¯¯¯¯¯¯A.¯¯¯B=A+B  (De Morgan's Theorem) So, the circuit is equivalent to OR gate . Case-2   C=¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯AB.¯¯¯¯¯¯AB   =AB+AB=AB Hence the circuit is equivalent to AND gate.  Physics

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