# NAND and NOR logic gates

What would be the diagram of following logic gate function by using NAND and NOR IC’s?

F = AB + BC + AC.

Kindly help how to draw its logic diagram?

• The drawing is the easy part - first you need to apply Boolean identities to transform it to use NAND and NOR. Specifically, take a look at De Morgan's law. – Chris Laplante Feb 27 '14 at 19:28
• For you its easy but not for me. How much NAND and NOR hates would be used?Would the two inputs be taken as common? – user3351862 Feb 27 '14 at 19:42
• Why use NAND and NOR - AND and OR are simpler – Andy aka Feb 27 '14 at 19:43
• @user3351862: Again, the answer to those two questions will be immediately apparent once you apply De Morgan's law. – Chris Laplante Feb 27 '14 at 19:45
• @Andyaka: Probably it's an academic exercise to show that any combinatorial circuit can be implemented with NANDs, NORs, and inverters – Chris Laplante Feb 27 '14 at 19:46

It's not that hard, you just have to apply De Morgan's transformations, as mentioned in the comments.

Take this into account:

• $\overline{\overline{A}} = A$.

• $\overline{A+B} = \bar A \cdot \bar B$ and viceversa

• $\overline{A \cdot B} = \bar A + \bar B$ and viceversa

From that you only need to apply these transformation until you get the result you want.

for NAND gate implementation...

simulate this circuit – Schematic created using CircuitLab

for NOR gate implementation

simulate this circuit