Question

Implement the function using NAND gates.
F= AˉBˉ+AB+C

Answer 1

To implement the function F = AˉBˉ + AB + C using NAND gates, we can break down the equation into smaller parts and use NAND gates to implement the operations required.

Step-by-step explanation:

To implement the function F = AˉBˉ + AB + C using NAND gates, we can break down the equation into smaller parts.

First, let's simplify AˉBˉ. We can do this by using De Morgan's law: AˉBˉ = (A + B)ˉ. Next, we can use a NAND gate to implement the NOT operation (ˉ), followed by a NAND gate to implement the OR operation (+). The output of these two NAND gates will give us AˉBˉ.

Similarly, to implement AB, we can use two NAND gates: one for the AND operation (multiply inputs) and one for the NOT operation (ˉ). Finally, to implement the whole function F = AˉBˉ + AB + C, we can use three NAND gates: one for each part of the equation and one for the final OR operation (+).