If two input terminals of NAND gate are shorted, then the output for both the input being zero is ?Correct answer is '1'. Can you explain this answer?

Question

Answer

Explanation:

When the two input terminals of a NAND gate are shorted, it means that both inputs are connected together. Let's analyze the behavior of a NAND gate under this condition.

Truth Table of NAND Gate:
A NAND gate is a logic gate that produces an output of 0 only when all of its inputs are 1. Otherwise, the output is always 1.

| A | B | Output |
|---|---|--------|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |

Case 1: Both Inputs are 0:
When both input terminals of a NAND gate are shorted and set to 0, it means that the same 0 voltage is applied to both inputs simultaneously. According to the truth table, when both inputs are 0, the output is 1.

Case 2: One or Both Inputs are 1:
In this case, at least one of the inputs is 1. According to the truth table, when any input is 1, the output of the NAND gate will always be 0.

Therefore, when both input terminals of a NAND gate are shorted, the output will be 1 only when both inputs are 0. In all other cases, when one or both inputs are 1, the output will be 0.

Summary:
- When both inputs of a NAND gate are shorted, the output is 1 only when both inputs are 0.
- If one or both inputs are 1, the output of a NAND gate will always be 0, regardless of whether the inputs are shorted or not.

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