minimum number of NOR gates [closed]

Question

What is the minimum number of NOR gates required to implement this boolean function?

A'B + A'CDB + AC'B + ABC

Also how many NAND gates required?

Confirm answer am getting zero.

Comments

3 NOR gates for the question  AB+C.

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On solving we got  ' B'. So no nand

No nor gate required

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what are the steps to solve such type of questions

Answer 1

ZERO

 

A'B + A'CDB + AC'B + ABC

= A'B(1+CD) + AB(C'+C)

= A'B(1) + AB(1)

= A'B + AB

= B(A'+A)

= B(1)

= B

 

You don't need a NOR Gate to get B as the output.