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Which of these sets of logic gates are known as universal gates?
- a)XOR, NAND, OR
- b)OR, NOT, XOR
- c)NOR, NAND, XNOR
- d)NOR, NAND
Correct answer is option 'D'. Can you explain this answer?
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Which of these sets of logic gates are known as universal gates?a)XOR,...
NAND or NOR gates are used to design all other logic gates, so; they are termed universal gates.
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Which of these sets of logic gates are known as universal gates?a)XOR,...
Universal Gates Explained
Universal gates are fundamental in digital electronics, capable of implementing any Boolean function without the need for other types of gates. The two primary universal gates are NAND and NOR.
Why NAND and NOR are Universal Gates
- **Functionality**: Both NAND and NOR can create all basic logic operations:
- **AND**:
- NAND gate can be used to create an AND operation by negating its output.
- **OR**:
- NOR gate can create an OR operation by negating its output.
- **NOT**:
- Each gate can also function as a NOT gate through proper configuration.
- **Combination**: By combining multiple NAND or NOR gates, any logical expression can be formed:
- For example, a two-input NAND gate's output is true unless both inputs are true. By feeding this output back into other gates, complex logic can be designed.
Comparison with Other Gates
- **XOR**: While useful in specific contexts, it cannot alone produce all logic functions and is not a universal gate.
- **AND/OR**: These gates cannot independently form all functions; they require NOT gates to achieve universality.
Conclusion
- Since NAND and NOR can independently form any logic circuit, they are classified as universal gates. This versatility makes them essential in digital circuit design, simplifying the creation of complex logic systems. Thus, the correct answer to the question is option 'D': NOR and NAND.
Universal gates are fundamental in digital electronics, capable of implementing any Boolean function without the need for other types of gates. The two primary universal gates are NAND and NOR.
Why NAND and NOR are Universal Gates
- **Functionality**: Both NAND and NOR can create all basic logic operations:
- **AND**:
- NAND gate can be used to create an AND operation by negating its output.
- **OR**:
- NOR gate can create an OR operation by negating its output.
- **NOT**:
- Each gate can also function as a NOT gate through proper configuration.
- **Combination**: By combining multiple NAND or NOR gates, any logical expression can be formed:
- For example, a two-input NAND gate's output is true unless both inputs are true. By feeding this output back into other gates, complex logic can be designed.
Comparison with Other Gates
- **XOR**: While useful in specific contexts, it cannot alone produce all logic functions and is not a universal gate.
- **AND/OR**: These gates cannot independently form all functions; they require NOT gates to achieve universality.
Conclusion
- Since NAND and NOR can independently form any logic circuit, they are classified as universal gates. This versatility makes them essential in digital circuit design, simplifying the creation of complex logic systems. Thus, the correct answer to the question is option 'D': NOR and NAND.
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Which of these sets of logic gates are known as universal gates?a)XOR, NAND, ORb)OR, NOT, XORc)NOR, NAND, XNORd)NOR, NANDCorrect answer is option 'D'. Can you explain this answer?
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