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Which of the following gate is represented by the Boolean expression F =(A’+B’)’

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Solution

The Boolean expression F = (A' + B')' represents a NAND gate. Here's the step-by-step explanation:

  1. The ' symbol represents the NOT operation. A' means NOT A and B' means NOT B.
  2. The + symbol represents the OR operation. So, A' + B' means NOT A OR NOT B.
  3. The whole expression is then negated again, (A' + B')', which means NOT (NOT A OR NOT B).

This is the definition of a NAND gate. In other words, the output is false only if both inputs are true. Otherwise, the output is true.

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