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When the two inoputs of a NAND gate are ...

When the two inoputs of a NAND gate are shorted, the resulting gats is

A

NOR

B

OR

C

NOT

D

AND

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The correct Answer is:
To solve the question regarding the behavior of a NAND gate when both its inputs are shorted, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the NAND Gate**: A NAND gate is a digital logic gate that outputs false or 0 only when both of its inputs are true or 1. The output can be expressed as: \[ Z = \overline{A \cdot B} \] where \( A \) and \( B \) are the inputs, and \( Z \) is the output. 2. **Shorting the Inputs**: When both inputs of the NAND gate are shorted, we can denote both inputs as \( A \). Thus, the expression for the output becomes: \[ Z = \overline{A \cdot A} = \overline{A} \] This means that the output \( Z \) is the negation of input \( A \). 3. **Creating a Truth Table**: We can create a truth table for the input \( A \) and the output \( Z \): \[ \begin{array}{|c|c|} \hline A & Z = \overline{A} \\ \hline 0 & 1 \\ 1 & 0 \\ \hline \end{array} \] 4. **Analyzing the Truth Table**: From the truth table, we can see that: - When \( A = 0 \), \( Z = 1 \) - When \( A = 1 \), \( Z = 0 \) This behavior is characteristic of a NOT gate, which outputs the opposite of the input. 5. **Conclusion**: Therefore, when the two inputs of a NAND gate are shorted, the resulting gate behaves like a NOT gate. ### Final Answer: The resulting gate is a **NOT gate**.

To solve the question regarding the behavior of a NAND gate when both its inputs are shorted, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the NAND Gate**: A NAND gate is a digital logic gate that outputs false or 0 only when both of its inputs are true or 1. The output can be expressed as: \[ Z = \overline{A \cdot B} ...
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