Q. 185.0( 8 Votes )

# Write the truth t

Answer :

The given circuit is as follows:

The first NOR gate gives the output (A + B)’. The second NOR gate gives the output ((A + B)’ + (A + B)’)’.

Using De Morgan’s law,

((A + B)’ + (A + B)’)’ = ((A + B)’)’∙((A + B)’)’ = (A + B)∙(A + B) = A + B (Since, A∙A = A)

So, the output is Y = A + B and the circuit acts as an OR gate.

The truth table for the given circuit is as follows:

__NOTE: NOR gate is a universal gate because it can be used to implement any Boolean function without using any other gates.__

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