First slide

Logic gates

Question

The circuit is equivalent to

Moderate

A

AND gate
B

NAND gate
C

NOR gate
D

OR gate

Solution

The gate circuit can be shown by giving two inputs A and B
Output of NOR gate, $Y_{1} = A + B$
Output of NAND gate,
$Y_{2} = Y_{1} . Y_{1} = A + B \cdot A + B = A + B + A + B = (A + B) + (A + B) = A + B Output of NOT gate, Y = Y_{2} = A + B$
Which is the output of NOR gate.
Alternative:

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