Boolean Algebra and Logic Simplification

Q1: One of De Morgan's theorems states that . Simply stated, this means that logically there is no difference between:

A a NOR and an AND gate with inverted inputs

B a NAND and an OR gate with inverted inputs

C an AND and a NOR gate with inverted inputs

D a NOR and a NAND gate with inverted inputs

ANS:A - a NOR and an AND gate with inverted inputs

Since the LHS of the expression is the logical expression of two inputs NOR Gate and the RHS of the expression consists of two inverted inpuuts of A and B, that is two inverted input are ANDed to get the RHS of the expression and since according to Demorgan Laws, the complement of the sum of two or more variables are equivalent to the product of the complement of the individual variables, we can say that a NOR gate is equivalent to an AND gate with inverted inputs.



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