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The following figure shows a logic gate circuit with two inputs A and B and the output Y. The voltage waveforms of A, B and Y are as given.
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The logic gate is
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The logic gate is
A
NOR gate
B
OR gate
C
AND gate
D
NAND gate
Detailed Solution
Read the input and output levels in each time interval of the waveforms and form the truth table.
A = 1, B = 1 gives Y = 0
A = 0, B = 0 gives Y = 1
A = 0, B = 1 gives Y = 1
A = 1, B = 0 gives Y = 1
The output is 0 only when both inputs are 1, and 1 otherwise. This is the truth table of $Y = \overline{A\cdot B}$.
Hence the gate is a NAND gate.
A = 1, B = 1 gives Y = 0
A = 0, B = 0 gives Y = 1
A = 0, B = 1 gives Y = 1
A = 1, B = 0 gives Y = 1
The output is 0 only when both inputs are 1, and 1 otherwise. This is the truth table of $Y = \overline{A\cdot B}$.
Hence the gate is a NAND gate.