To answer this question, you need to understand the concept of logically complete sets of logical operations.
A logically complete set of logical operations is a set of operations that can be used to construct any possible Boolean function. In other words, with a logically complete set of operations, you can realize any Boolean function using only those operations.
The correct answer is C) AND, OR, and NOT.
Explanation for each option:
A) AND, OR, and XOR - This option is incorrect because XOR (exclusive OR) is not a logically complete operation. It cannot be used to construct all possible Boolean functions.
B) AND, OR, and NAND - This option is incorrect because NAND (NOT AND) is a functionally complete operation by itself. Therefore, using NAND alone is sufficient to realize any Boolean function. Including AND and OR in addition to NAND is not necessary.
C) AND, OR, and NOT - This option is correct. AND, OR, and NOT form a logically complete set of operations. Any Boolean function can be realized using these three operations.
D) XOR, NOR, and NAND - This option is incorrect because XOR and NOR are not logically complete operations. They cannot be used to construct all possible Boolean functions.
Therefore, the correct answer is C) AND, OR, and NOT.