Explain how NAND and NOR gates can be created using AND, OR, and NOT gates.

 

  • NAND Gate: A NAND gate can be created by first using an AND gate to perform the logical AND operation on two inputs, and then applying a NOT gate to the output of the AND gate. The expression for a NAND gate is:
    F=A⋅B‾F = \overline{A \cdot B}, which means the output is the negation of the AND result.

  • NOR Gate: A NOR gate can be created by first using an OR gate to perform the logical OR operation on two inputs, and then applying a NOT gate to the output of the OR gate. The expression for a NOR gate is:
    F=A+B‾F = \overline{A + B}, which means the output is the negation of the OR result.