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How many of the inputs of a 4 input AND gate must be HIGH in order for the output of the logic gate to go HIGH?
- a)any 2
- b)any 3
- c)any 1
- d)all 4
Correct answer is option 'D'. Can you explain this answer?
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How many of the inputs of a 4 input AND gate must be HIGH in order for...
The correct answer is: all 4
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How many of the inputs of a 4 input AND gate must be HIGH in order for...
Answer:
In an AND gate, the output will be HIGH (logic 1) only when all of its inputs are HIGH (logic 1). Let's analyze the possible combinations of inputs and their corresponding outputs for a 4-input AND gate.
Input Combinations:
- When all inputs are LOW (logic 0): 0000 → Output: 0
- When one input is HIGH and the rest are LOW: 1000, 0100, 0010, 0001 → Output: 0
- When two inputs are HIGH and the rest are LOW: 1100, 1010, 1001, 0110, 0101, 0011 → Output: 0
- When three inputs are HIGH and the rest is LOW: 1110, 1101, 1011, 0111 → Output: 0
- When all inputs are HIGH: 1111 → Output: 1
From the above analysis, it is evident that for the output of a 4-input AND gate to go HIGH (logic 1), all four inputs must be HIGH (logic 1). Only in the case when all four inputs are HIGH, the output will be HIGH.
Therefore, the correct answer is option 'D' - all four inputs must be HIGH for the output of the logic gate to go HIGH.
In an AND gate, the output will be HIGH (logic 1) only when all of its inputs are HIGH (logic 1). Let's analyze the possible combinations of inputs and their corresponding outputs for a 4-input AND gate.
Input Combinations:
- When all inputs are LOW (logic 0): 0000 → Output: 0
- When one input is HIGH and the rest are LOW: 1000, 0100, 0010, 0001 → Output: 0
- When two inputs are HIGH and the rest are LOW: 1100, 1010, 1001, 0110, 0101, 0011 → Output: 0
- When three inputs are HIGH and the rest is LOW: 1110, 1101, 1011, 0111 → Output: 0
- When all inputs are HIGH: 1111 → Output: 1
From the above analysis, it is evident that for the output of a 4-input AND gate to go HIGH (logic 1), all four inputs must be HIGH (logic 1). Only in the case when all four inputs are HIGH, the output will be HIGH.
Therefore, the correct answer is option 'D' - all four inputs must be HIGH for the output of the logic gate to go HIGH.
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