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Such a simple design:

Steps:

1. Write the truth table: (input A, B, C, output F)

2. Draw Karnaugh map according to the truth table and get the simplest expression:

F=AB+BC+AC

3. Simplify the simplest expression into NAND-NAND type:

F = [(negative of AB) and (negative of BC) and (negative of AC)].

4. Draw a picture according to the above NAND-NAND expression.