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Question

# You are given two circuits as shown in Fig., which consist of NAND gates. Identify the logic operation carried out by the two circuits.

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Solution

## In both the given circuits, A and B are the inputs and Y is the output.For first circuit, The output of the left NAND gate will be ¯¯¯¯¯¯¯¯AB.Hence, the output of the combination of the two NAND gates is given as:Y=¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯A.B.¯¯¯¯¯¯¯¯¯¯¯A.B=ABHence, this circuit functions as an AND gate.For the second circuit, ¯A is the output of the upper left of the NAND gate and ¯B is the output of the lower half of the NAND gate, as shown in the following figure.Hence, the output of the combination of the NAND gates will be given as:Y=¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯A+¯B=A+BHence, this circuit functions as an OR gate.

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