NAND
Not AND.
The Boolean function which is true unless both its arguments are true, the logical complement of AND:
A NAND B = NOT (A AND B) = (NOT A) OR (NOT B)
Its truth table is:
A | B | A NAND B --+---+--------- F | F |
T F | T |
T T | F |
T T | T |
F
NAND, like NOR, forms a complete set of Boolean functions on its own since it can be used to make NOT, AND, OR and any other Boolean function:
NOT A = A NAND A
A AND B = NOT (A NAND B)
A OR B = (NOT A) NAND (NOT B)
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