Q = A.B

AND Gate

The AND gate is an important function, we can think of this as multiplication as if we multiple the two signal together here we arrive at the following truth table for an AND gate.

A B Q

0 0 0

0 1 0

1 0 0

1 1 1

Q = Q̅ = A.B

Function NAND

This is the NAND gate or the not AND gate. This simply reverses all the outputs of our AND gate.

A B Q

0 0 1

0 1 1

1 0 1

0 0 0

Q = A + B

Function OR

The OR gate is similar to addition. However, its a version of addition that does not know how to carry over, as we can see by the last part of the truth table, but otherwise functions similarly.

A B Q

0 0 0

0 1 1

1 0 1

1 1 1

Q = Q̅ = A + B

Function NOR

Again like the NAND gate, the NOR gate simply reverses the signal of the OR gate.

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