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

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AND

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NAND

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None of these

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Solution

The correct option is B AND
$X = ¯ ¯¯¯¯¯¯¯¯¯ ¯ A . B, Y = ¯ ¯¯¯¯¯¯¯¯¯ ¯ A . B,$
$Z = ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ X + Y = ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ ¯ ¯¯¯¯¯¯¯¯¯ ¯ A . B + ¯ ¯¯¯¯¯¯¯¯¯ ¯ A . B = ¯ ¯¯¯¯¯¯¯¯¯ ¯ ¯ ¯¯¯¯¯¯¯¯¯ ¯ A . B = A . B$
This Boolean expression behaves like AND Gate.

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