Question

Construct an 8-input NAND gate using only two-input AND gates and two-input NAND gates. Draw the logic arrangement that ...


Construct an 8-input NAND gate using only two-input AND gates and two-input NAND gates. Draw the logic arrangement that uses the minimum number of logic gates.

Answer

Let A,B,C,D,E,F,G and H be the 8 inputs of 8-input NAND gate. And Y be the output.

Then 

Y = (ABCDEFGH)'

Y= (KLMN)'

Where K= AB 

L = CD

M= EF

N= GH

That implies, 

Y= (PQ)' 

Where P= KL 

Q= MN

 

Y = (ABCDEFGH)'

Y= (KLMN)'

Where K= AB 

L = CD

M= EF

N= GH

That implies, 

Y= (PQ)' 

Where P= KL 

Q= MN

Electrical Engineering homework question answer, step 2, image 1

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