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A gate has the following truth table {...

A gate has the following truth table
`{:("P 1 1 0 0"),("Q 1 0 1 0"),("R 1 0 0 0"):}`
The gate is

A

NOR

B

OR

C

NAND

D

AND

Text Solution

AI Generated Solution

The correct Answer is:
To determine the type of gate based on the provided truth table, we can analyze the inputs and outputs step by step. ### Step-by-Step Solution: 1. **Understand the Truth Table**: The truth table provided is as follows: - P: 1, 1, 0, 0 - Q: 1, 0, 1, 0 - Result (R): 1, 0, 0, 0 2. **Identify Input Combinations**: The combinations of inputs (P, Q) and their corresponding output (R) are: - (1, 1) → 1 - (1, 0) → 0 - (0, 1) → 0 - (0, 0) → 0 3. **Analyze the Output**: - The output is 1 only when both P and Q are 1. - In all other cases (when either P or Q is 0), the output is 0. 4. **Determine the Gate Type**: - The behavior of the output matches the definition of an AND gate, which outputs 1 only when all inputs are 1. - Therefore, since the output is 1 only for the combination (1, 1) and 0 for all other combinations, we conclude that the gate is an AND gate. 5. **Final Answer**: The gate is an **AND gate**.
To determine the type of gate based on the provided truth table, we can analyze the inputs and outputs step by step. ### Step-by-Step Solution: 1. **Understand the Truth Table**: The truth table provided is as follows: - P: 1, 1, 0, 0 - Q: 1, 0, 1, 0 - Result (R): 1, 0, 0, 0 ...
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