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Logic gates are simply performing some logic operation like ANDing, ORing and so on. these logical operation can be implemented using switching device for example diode, BJT's or MOSFET's. take 2 input NAND gate for example.

the truth table for 2 inputs A, B the number of input combination is 4 and for each set of input value the output value of this gate can be represented as :

A B NAND

0 0 1

0 1 1

1 0 1

1 1 0

from the truth table we can see that we need a circuit which gave a zero output when both the inputs are high

so if we have switch/s connected between output and ground then this switch should work when both the inputs are high and this will pull the output node voltage to zero.

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