Question

Which of the following gates will have an output of 1 ?

• A. Gate (A) is a NAND gate with inputs 1 and 1.
• B. Gate (B) is a NOR gate with inputs 0 and 1.
• C. Gate (C) is a NAND gate with inputs 0 and 1.
• D. Gate (D) is an XOR gate with inputs 0 and 0.

Answer 1

Answer: (C)

The correct option is C.

Answer 2

The output of each logic gate is determined based on its type and inputs.

Gate (A) is a NAND gate with inputs 1 and 1. The output of a NAND gate is the inverse of the output of an AND gate. For inputs 1 and 1, the AND output is 1, so the NAND output is $\overline{1} = 0$.

Gate (B) is a NOR gate with inputs 0 and 1. The output of a NOR gate is the inverse of the output of an OR gate. For inputs 0 and 1, the OR output is $0+1 = 1$, so the NOR output is $\overline{1} = 0$.

Gate (C) is a NAND gate with inputs 0 and 1. For inputs 0 and 1, the AND output is $0 \cdot 1 = 0$, so the NAND output is $\overline{0} = 1$.

Gate (D) is an XOR gate with inputs 0 and 0. The output of an XOR gate is 1 if the inputs are different and 0 if the inputs are the same. For inputs 0 and 0, the inputs are the same, so the XOR output is 0.

Comparing the outputs, only gate (C) has an output of 1.