Question

Draw the basic symbol for each 2-Input NAND, NOR XOR, XNOR? Also, provide the output expression for each gate. 8) Use your digital board to analyze the results if we connect both inputs for: 2-Input NAND, 2-Input NOR, 2-Input XOR, and 2-Input XNOR. Conclude.

Answer 1

The basic symbols and output expressions for 2-Input NAND, NOR, XOR, and XNOR gates are provided. The behavior of each gate is explained when both inputs are connected.

• 2-Input NAND Gate: ⊼
• 2-Input NOR Gate: ⊽
• 2-Input XOR Gate: ⨁
• 2-Input XNOR Gate: ⊙

The output expression for each gate:

• 2-Input NAND Gate: Y = A | B
• 2-Input NOR Gate: Y = A + B
• 2-Input XOR Gate: Y = A xor B
• 2-Input XNOR Gate: Y = A xnor B

When both inputs are connected for each gate:

• 2-Input NAND Gate: The output will be low (0) only when both inputs are high (1).
• 2-Input NOR Gate: The output will be high (1) only when both inputs are low (0).
• 2-Input XOR Gate: The output will be low (0) when both inputs are the same, otherwise the output will be high (1).
• 2-Input XNOR Gate: The output will be high (1) when both inputs are the same, otherwise the output will be low (0).