What are the three main arithmetic operations, what operation gives a quotient, and explain AND, NAND, and NOR gates?

Here are the answers to your questions:

1. The three main arithmetic operations are addition, subtraction, and multiplication.

2. The operation that gives a quotient as the result is B. Division.

3. An AND gate produces a high output (1) only if all its inputs are high (1). A NAND gate is the inverse of an AND gate; it produces a low output (0) only if all its inputs are high (1), and a high output (1) otherwise.

4. No, a single NOR gate cannot be used to directly replace an OR gate in a circuit because their outputs are inverted.

   • OR gate with inputs 1 and 1: $$1 \text{ OR } 1 = 1$$
   • NOR gate with inputs 1 and 1: $$1 \text{ NOR } 1 = 0$$

   Since the outputs are different for the same inputs, a NOR gate cannot directly replace an OR gate. To achieve the function of an OR gate using NOR gates, you would need to invert the output of a NOR gate (e.g., by passing the NOR gate's output through another NOR gate configured as an inverter).