Discussion
NAND Gate can also be represented by
1. AND - invert Gate
2. OR - Invert Gate
3. Bubbled OR
4. Bubbled AND Which of the following is correct ?
Answer: D
Statements 1 and 3 are correct, which is option (D). A NAND gate is an AND gate followed by an inverter (AND-invert). By De Morgan's theorem, \(\overline{AB} = \bar{A} + \bar{B}\), so it is equally an OR gate with inverted inputs, which is a bubbled OR. An OR-invert gate is a NOR gate, and a bubbled AND is also a NOR, since \(\bar{A}\bar{B} = \overline{A+B}\). That excludes statements 2 and 4, and with them the options (A), (B) and (C).
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