Derived Gate Truth Table Quiz

1. A NAND gate produces a 0 output only when ____.

A NAND gate is a digital logic gate that outputs a low signal (0) only when all of its inputs are high (1). In all other cases, it produces a high output (1). This characteristic makes it a fundamental building block in digital circuits, as it can be used to create various logical functions.

Explanation

A NAND gate is a digital logic gate that outputs a low signal (0) only when all of its inputs are high (1). In all other cases, it produces a high output (1). This characteristic makes it a fundamental building block in digital circuits, as it can be used to create various logical functions.

Submit

2. Which gate is the combination of an AND gate and a NOT gate?

NAND gate

NOR gate

XOR gate

OR gate

A NAND gate is formed by combining an AND gate and a NOT gate. It outputs a low signal (0) only when all its inputs are high (1). In all other cases, it outputs high (1), effectively negating the result of the AND operation. This makes it a fundamental building block in digital circuits.

Explanation

A NAND gate is formed by combining an AND gate and a NOT gate. It outputs a low signal (0) only when all its inputs are high (1). In all other cases, it outputs high (1), effectively negating the result of the AND operation. This makes it a fundamental building block in digital circuits.

3. A NOR gate produces a 1 output only when ____.

A NOR gate is a digital logic gate that outputs a high signal (1) only when all of its inputs are low (0). This means that if any input is high, the output will be low (0). Therefore, the condition for the output to be 1 is that all inputs must be 0.

Explanation

A NOR gate is a digital logic gate that outputs a high signal (1) only when all of its inputs are low (0). This means that if any input is high, the output will be low (0). Therefore, the condition for the output to be 1 is that all inputs must be 0.

Submit

4. What is the output of an XOR gate when both inputs are 1?

0

1

Undefined

2

An XOR (exclusive OR) gate outputs true (1) only when the inputs differ. When both inputs are 1, they are the same, resulting in an output of false (0). Thus, the output of an XOR gate with both inputs as 1 is 0.

Explanation

An XOR (exclusive OR) gate outputs true (1) only when the inputs differ. When both inputs are 1, they are the same, resulting in an output of false (0). Thus, the output of an XOR gate with both inputs as 1 is 0.

5. An XOR gate is also called the ____.

An XOR gate, or exclusive OR gate, produces a true output only when the inputs differ. It is named "exclusive" because it excludes the case where both inputs are true, unlike a standard OR gate. This unique behavior makes it essential in digital circuits and logical operations.

Explanation

An XOR gate, or exclusive OR gate, produces a true output only when the inputs differ. It is named "exclusive" because it excludes the case where both inputs are true, unlike a standard OR gate. This unique behavior makes it essential in digital circuits and logical operations.

Submit

6. Which truth table row shows inputs 0 and 1 for a two-input gate?

First row

Second row

Third row

Fourth row

In a truth table for a two-input gate, the inputs are typically listed in binary combinations. The second row corresponds to the input combination of 0 for the first input and 1 for the second input, which is the specific configuration asked for in the question.

Explanation

In a truth table for a two-input gate, the inputs are typically listed in binary combinations. The second row corresponds to the input combination of 0 for the first input and 1 for the second input, which is the specific configuration asked for in the question.

7. A NAND gate truth table has how many rows for two inputs?

2

3

4

8

A NAND gate has two inputs, each of which can be either 0 or 1. The total combinations of these inputs are calculated as 2^2, which equals 4. Therefore, the truth table for a NAND gate with two inputs consists of 4 rows, representing all possible input combinations and their corresponding outputs.

Explanation

A NAND gate has two inputs, each of which can be either 0 or 1. The total combinations of these inputs are calculated as 2^2, which equals 4. Therefore, the truth table for a NAND gate with two inputs consists of 4 rows, representing all possible input combinations and their corresponding outputs.

8. The output of a NOR gate is the opposite of an ____ gate.

A NOR gate produces a true output only when all its inputs are false, making it the inverse of an OR gate, which outputs true if at least one input is true. Thus, the output of a NOR gate is the opposite of an OR gate, highlighting their complementary functions in digital logic.

Explanation

A NOR gate produces a true output only when all its inputs are false, making it the inverse of an OR gate, which outputs true if at least one input is true. Thus, the output of a NOR gate is the opposite of an OR gate, highlighting their complementary functions in digital logic.

Submit

9. Complete the truth table: XOR(1, 0) = ____.

XOR, or exclusive OR, outputs true (1) when the inputs differ. In this case, the inputs are 1 and 0. Since they are not the same, XOR(1, 0) evaluates to true, resulting in an output of 1. This demonstrates the fundamental property of the XOR operation.

Explanation

XOR, or exclusive OR, outputs true (1) when the inputs differ. In this case, the inputs are 1 and 0. Since they are not the same, XOR(1, 0) evaluates to true, resulting in an output of 1. This demonstrates the fundamental property of the XOR operation.

Submit

10. Which derived gate is true only when inputs are different?

NAND

NOR

XOR

XNOR

XOR (exclusive OR) gate outputs true only when the inputs are different. If one input is true and the other is false, the output is true. In contrast, NAND, NOR, and XNOR gates have different output conditions based on their respective logic, making XOR unique in its behavior with differing inputs.

Explanation

XOR (exclusive OR) gate outputs true only when the inputs are different. If one input is true and the other is false, the output is true. In contrast, NAND, NOR, and XNOR gates have different output conditions based on their respective logic, making XOR unique in its behavior with differing inputs.

11. XNOR is the combination of XOR and ____.

XNOR, or "exclusive NOR," combines the functionality of XOR (exclusive OR) with a NOT operation. While XOR outputs true only when inputs differ, XNOR inverts this result, yielding true when inputs are the same. Thus, it effectively represents the logical equivalence of the two inputs, making it a complement to XOR.

Explanation

XNOR, or "exclusive NOR," combines the functionality of XOR (exclusive OR) with a NOT operation. While XOR outputs true only when inputs differ, XNOR inverts this result, yielding true when inputs are the same. Thus, it effectively represents the logical equivalence of the two inputs, making it a complement to XOR.

Submit

12. What is the output of NAND(0, 0)?

0

1

Undefined

2

NAND is a logical operation that outputs false only when all its inputs are true. In this case, both inputs are 0. Since neither input is true, the output of NAND(0, 0) is true, which corresponds to the value 1. Thus, the output is 1.

Explanation

NAND is a logical operation that outputs false only when all its inputs are true. In this case, both inputs are 0. Since neither input is true, the output of NAND(0, 0) is true, which corresponds to the value 1. Thus, the output is 1.