Question

Using only NAND gates and inverters, draw a schematic for the function F(x,y,z)=x⋅y+x y+y ⋅z. You do not need to minimize the function.

Answer 1

To implement the function F(x,y,z)=x⋅y+x y+y⋅z using only NAND gates and inverters, you can break down the expression into smaller parts and then combine them using the desired logic gates.

Step-by-step explanation:

To implement the function F(x,y,z)=x⋅y+x y+y ⋅z using only NAND gates and inverters, we can break down the expression into smaller parts and then combine them using the desired logic gates. Let's start by implementing x⋅y using NAND gates:

1. Take the inputs x and y and pass them through individual inverters to get x' and y'.
2. Connect x', y', and their inverted versions x and y to a 4-input NAND gate. This will give us the output x⋅y.

Next, let's implement x y using NAND gates:

1. Take the inputs x and y and pass them through individual inverters to get x' and y'.
2. Connect x', y', and their inverted versions x and y to a 4-input NAND gate to get x⋅y.

Finally, implement y ⋅z using NAND gates:

1. Take the inputs y and z and pass them through individual inverters to get y' and z'.
2. Connect y', z', and their inverted versions y and z to a 4-input NAND gate to get y⋅z.

Now, we can combine the three parts: x⋅y, x y, and y⋅z, using additional inverters and NAND gates. The final output will be the function F(x,y,z)=x⋅y+x y+y⋅z.