Universal Gate Truth Table Quiz

1. Which gate is considered a universal gate?

AND gate

NAND gate

OR gate

XOR gate

The NAND gate is considered a universal gate because it can be used to create any other logic gate, including AND, OR, and NOT gates. This versatility allows for the construction of complex circuits using only NAND gates, making them fundamental in digital electronics and circuit design.

Explanation

The NAND gate is considered a universal gate because it can be used to create any other logic gate, including AND, OR, and NOT gates. This versatility allows for the construction of complex circuits using only NAND gates, making them fundamental in digital electronics and circuit design.

2. What is the output of a NAND gate when both inputs are 1?

0

1

Undefined

High impedance

A NAND gate produces an output of 0 only when both inputs are 1. This is because a NAND gate is a combination of an AND gate followed by a NOT gate; thus, it inverts the result of the AND operation. When both inputs are high (1), the AND operation yields 1, and the NOT operation then outputs 0.

Explanation

A NAND gate produces an output of 0 only when both inputs are 1. This is because a NAND gate is a combination of an AND gate followed by a NOT gate; thus, it inverts the result of the AND operation. When both inputs are high (1), the AND operation yields 1, and the NOT operation then outputs 0.

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

A NOR gate is a digital logic gate that outputs a 1 only when both of its inputs are 0. This means that it performs a negation of the OR operation; if either input is 1, the output will be 0. Thus, the only condition for a high output is when both inputs are low.

Explanation

A NOR gate is a digital logic gate that outputs a 1 only when both of its inputs are 0. This means that it performs a negation of the OR operation; if either input is 1, the output will be 0. Thus, the only condition for a high output is when both inputs are low.

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4. Which truth table represents a NAND gate with inputs A and B?

A=0, B=0 → 1; A=0, B=1 → 1; A=1, B=0 → 1; A=1, B=1 → 0

A=0, B=0 → 0; A=0, B=1 → 0; A=1, B=0 → 0; A=1, B=1 → 1

A=0, B=0 → 1; A=0, B=1 → 0; A=1, B=0 → 0; A=1, B=1 → 0

A=0, B=0 → 0; A=0, B=1 → 1; A=1, B=0 → 1; A=1, B=1 → 1

A NAND gate outputs false only when both inputs are true. In the truth table provided, the output is 1 for all combinations of inputs except when both A and B are 1, resulting in an output of 0. This behavior aligns with the definition of a NAND gate, confirming the correctness of the truth table.

Explanation

A NAND gate outputs false only when both inputs are true. In the truth table provided, the output is 1 for all combinations of inputs except when both A and B are 1, resulting in an output of 0. This behavior aligns with the definition of a NAND gate, confirming the correctness of the truth table.

5. True or False: A NOR gate is the complement of an OR gate.

True

False

A NOR gate outputs true only when all its inputs are false, making it the logical complement of an OR gate, which outputs true when at least one input is true. Therefore, the NOR gate effectively negates the output of an OR gate, confirming that it is indeed its complement.

Explanation

A NOR gate outputs true only when all its inputs are false, making it the logical complement of an OR gate, which outputs true when at least one input is true. Therefore, the NOR gate effectively negates the output of an OR gate, confirming that it is indeed its complement.

6. What does NAND stand for?

NOT AND

NOT OR

New AND

Negative AND

NAND is a digital logic gate that outputs false only when all its inputs are true. The term "NAND" derives from the combination of "NOT" and "AND," indicating that it performs the AND operation followed by negation. This makes it a fundamental building block in digital electronics and computer architecture.

Explanation

NAND is a digital logic gate that outputs false only when all its inputs are true. The term "NAND" derives from the combination of "NOT" and "AND," indicating that it performs the AND operation followed by negation. This makes it a fundamental building block in digital electronics and computer architecture.

7. In a NOR gate truth table, how many output combinations equal 0?

1

2

3

4

A NOR gate outputs 0 when at least one of its inputs is 1. For a 2-input NOR gate, the possible input combinations are (0,0), (0,1), (1,0), and (1,1). Out of these, the combinations (0,1), (1,0), and (1,1) produce an output of 0, resulting in a total of 3 combinations.

Explanation

A NOR gate outputs 0 when at least one of its inputs is 1. For a 2-input NOR gate, the possible input combinations are (0,0), (0,1), (1,0), and (1,1). Out of these, the combinations (0,1), (1,0), and (1,1) produce an output of 0, resulting in a total of 3 combinations.

8. A NAND gate acts as a universal gate because it can implement and gates.

A NAND gate is considered a universal gate because it can be used to create any other basic logic gate, including AND and OR gates. By combining multiple NAND gates in specific configurations, you can replicate the functions of both AND and OR gates, demonstrating its versatility in digital circuit design.

Explanation

A NAND gate is considered a universal gate because it can be used to create any other basic logic gate, including AND and OR gates. By combining multiple NAND gates in specific configurations, you can replicate the functions of both AND and OR gates, demonstrating its versatility in digital circuit design.

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9. True or False: A NAND gate with both inputs tied together acts as a NOT gate.

True

False

A NAND gate outputs a low signal (0) only when both inputs are high (1). When both inputs are tied together, the gate behaves like a NOT gate: if the input is 0, the output is 1, and if the input is 1, the output is 0, effectively inverting the input signal.

Explanation

A NAND gate outputs a low signal (0) only when both inputs are high (1). When both inputs are tied together, the gate behaves like a NOT gate: if the input is 0, the output is 1, and if the input is 1, the output is 0, effectively inverting the input signal.

10. What is the output of a NOR gate when one input is 1 and the other is 0?

0

1

Undefined

Depends on gate design

A NOR gate produces an output of 0 when at least one of its inputs is 1. In this case, with one input as 1 and the other as 0, the condition for the NOR operation is not met, leading to an output of 0.

Explanation

A NOR gate produces an output of 0 when at least one of its inputs is 1. In this case, with one input as 1 and the other as 0, the condition for the NOR operation is not met, leading to an output of 0.

11. Which statement best describes why NAND and NOR are universal gates?

They produce all possible truth table outputs

They can be used to construct any other logic gate

They work with any number of inputs

They are the fastest logic gates

NAND and NOR gates are considered universal gates because they can be combined in various configurations to create any other logic gate, such as AND, OR, and NOT. This versatility allows them to implement any logical function, making them fundamental in digital circuit design.

Explanation

NAND and NOR gates are considered universal gates because they can be combined in various configurations to create any other logic gate, such as AND, OR, and NOT. This versatility allows them to implement any logical function, making them fundamental in digital circuit design.

12. The symbol for a NAND gate is an AND gate with a ____ at the output.

A NAND gate is a digital logic gate that outputs false only when all its inputs are true. The symbol for a NAND gate is derived from the AND gate symbol, with a bubble added at the output. This bubble represents the NOT operation, indicating that the output is the inverse of the AND operation.

Explanation

A NAND gate is a digital logic gate that outputs false only when all its inputs are true. The symbol for a NAND gate is derived from the AND gate symbol, with a bubble added at the output. This bubble represents the NOT operation, indicating that the output is the inverse of the AND operation.

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