There are other functionally complete operations, and one of the most common is the NAND gate (also known as Sheffer stroke or the logical alternative denial). Like NOR, NAND is a binary operation that takes two input values (A and B) and returns false (0) only if both A and B are true (1); otherwise, it returns true (1). The truth table for NAND looks like this:

A | B | NAND(A, B)
--+---+----------
0 | 0 | 1
0 | 1 | 1
1 | 0 | 1
1 | 1 | 0

NAND is also functionally complete because it can be used to construct other basic logical operations such as NOT, AND, and OR, which can be further combined to create any Boolean function or logical expression.

Here's how we can derive the basic logical operations using NAND:

NOT (negation):
NOT(A) = NAND(A, A)
Truth table:
A | NOT(A)
--+-------
0 | 1
1 | 0

AND:
AND(A, B) = NAND(NAND(A, B), NAND(A, B))
Truth table:
A | B | AND(A, B)
--+---+---------
0 | 0 | 0
0 | 1 | 0
1 | 0 | 0
1 | 1 | 1

OR:
OR(A, B) = NAND(NAND(A, A), NAND(B, B))
Truth table:
A | B | OR(A, B)
--+---+---------
0 | 0 | 0
0 | 1 | 1
1 | 0 | 1
1 | 1 | 1

Since you can create any Boolean function or logical expression by combining NOT, AND, and OR gates, and you can create these gates using only the NAND operation, this makes NAND a functionally complete operation as well.

There are other less common functionally complete sets of operations, such as {IMPLY, NOT}, {NOR, IMPLY}, {NAND, XOR}, and so on. However, NOR and NAND are the most commonly used due to their simplicity and ease of implementation in digital circuits.
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