# (a) Give the truth table for a NAND gate. (b) Draw a NAND gate, and connect the two inputs…

(a) Give the truth table for a NAND gate.

(b) Draw a NAND gate, and connect the two inputs together. In view of the truth table of a NAND gate, does this connection convert a NAND gate into a NOT gate?

(c) Using a NAND gate and a NAND gate converted into a NOT gate give a circuit that works as an AND gate.

(d) DeMorgan’s theorem states that  =  . Complement both sides, and then use NAND gates converted into NOT gates and a NAND gate to make a circuit that works like an OR gate.

This problem shows that any Boolean function can be realized with only NAND gates, which is called a universal gate.

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