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De Morgan's Theorems
De Morgan has suggested two theorems which are extremely useful in Boolean Algebra. The two theorems are discussed below.
Theorem 1

The left hand side (LHS) of this theorem represents a NAND gate with inputs A and B, whereas the right hand side (RHS) of the theorem represents an OR gate with inverted inputs.
This OR gate is called as Bubbled OR.

Table showing verification of the De Morgan's first theorem −

Theorem 2

The LHS of this theorem represents a NOR gate with inputs A and B, whereas the RHS represents an AND gate with inverted inputs.
This AND gate is called as Bubbled AND.

Table showing verification of the De Morgan's second theorem −

boolean_algebra.htm
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