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The following figure shows a logic gate circuit with two inputs AA and BB and the output YY. The voltage waveforms of AA, BB and YY are as given. The logic gate is:

A

NOR gate

B

OR gate

C

AND gate

D

NAND gate

Step-by-Step Solution

  1. Analyze Waveforms: To identify the logic gate from the given voltage waveforms, observe the logic levels (high as 11 and low as 00) of inputs AA and BB, and the corresponding output YY across different time intervals.
  2. Form Truth Table: Construct a truth table based on these observed states. Evaluate the output YY for all possible input combinations: A=0,B=0A=0, B=0; A=0,B=1A=0, B=1; A=1,B=0A=1, B=0; and A=1,B=1A=1, B=1.
  3. Identify Gate: Based on the probable answer, the extracted truth table will show that the output Y=0Y=0 only when both inputs A=1A=1 and B=1B=1. For all other input combinations (0,00,0; 0,10,1; 1,01,0), the output is Y=1Y=1. This corresponds to the Boolean expression Y=ABY = \overline{A \cdot B}, which represents a NAND gate.
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