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Which gates are required to build an exclusive OR (XOR) gate?
  • a)
    OR
  • b)
    AND
  • c)
    NOT
  • d)
    None of the above
Correct answer is option 'A,B,C'. Can you explain this answer?
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Which gates are required to build an exclusive OR (XOR) gate?a)ORb)AND...
The correct answers are: OR, AND, NOT
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Which gates are required to build an exclusive OR (XOR) gate?a)ORb)AND...
Explanation:

To build an exclusive OR (XOR) gate, we need three basic logic gates: OR (disjunction), AND (conjunction), and NOT (negation). Let's understand the role of each gate in building an XOR gate.

1. OR Gate:
The OR gate takes two or more input signals and produces an output signal if any of the inputs are true (i.e., at least one input is true). The truth table for an OR gate is as follows:

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

2. AND Gate:
The AND gate takes two or more input signals and produces an output signal only if all the inputs are true. The truth table for an AND gate is as follows:

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

3. NOT Gate:
The NOT gate takes a single input signal and produces the opposite (inverted) output. It essentially negates the input signal. The truth table for a NOT gate is as follows:

| Input A | Output |
|---------|--------|
| 0 | 1 |
| 1 | 0 |

Building an XOR Gate:
To build an XOR gate using the given basic logic gates, we can follow the following circuit arrangement:

1. Connect the two input signals (A and B) to two separate OR gates.
2. Connect the same input signals (A and B) to an AND gate.
3. Connect the outputs of the OR gates to the inputs of the AND gate.
4. Connect the output of the AND gate to a NOT gate.
5. The output of the NOT gate will be the output of the XOR gate.

Truth Table for XOR Gate:
| Input A | Input B | Output |
|---------|---------|--------|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |

Conclusion:
To build an exclusive OR (XOR) gate, we need the combination of OR, AND, and NOT gates. The OR gates act as the summing elements, the AND gate acts as the carry generator, and the NOT gate acts as the inverter. Together, they create a logical circuit that outputs true only when the inputs are different, resulting in the XOR functionality.
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Which gates are required to build an exclusive OR (XOR) gate?a)ORb)ANDc)NOTd)None of the aboveCorrect answer is option 'A,B,C'. Can you explain this answer?
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