The combination of which two gates can be used to implement any logic function? Choose the most appropriate answer.
Question
The combination of which two gates can be used to implement any logic function?
Choose the most appropriate answer.
Solution
The combination of the AND gate and the NOT gate, or NAND gate, can be used to implement any logic function. This is because:
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Universal Gates: The NAND and NOR gates are universal gates, meaning any logical function can be constructed using just these gates.
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AND Gate and NOT Gate: By using the AND gate along with the NOT gate, you can create other fundamental gates:
- The OR gate can be constructed using De Morgan's theorem.
- The NOT gate can be used to invert inputs.
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Constructing Functions: By combining these gates in various configurations, any complex logic function can ultimately be simplified or transformed into a form that uses only AND, OR, and NOT operations, thus allowing for full functional capability.
In conclusion, a combination of the NOT gate with either an AND gate or a NAND gate ensures that any logical function can be implemented.
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