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A NAND gate is a type of logic gate that produces an output of false only when both of its two inputs are true. Otherwise, the gate produces an output of true. Which of the following Boolean expressions correctly models a NAND gate with inputs P and Q?
a. (NOT P) AND (NOT Q).
b. (NOT P) AND Q.c. NOT (P AND Q).d. NOT (P OR Q).


Sagot :

A NAND gate combines the NOT gate and the AND gate.

For inputs P and Q, the boolean expression for the NAND gate is c. NOT (P AND Q)

The NAND gate means:

NOT AND

Assume the inputs are x and y, then the formula would be:

NOT (x AND y)

In this case, the input variables are P and Q.

So, we replace x and y with P and Q, respectively.

The formula becomes NOT (P AND Q)

Hence, the correct expression is (c)

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