B The logical symbol of XOR gate is Chapter Page - - A B C Fig. . Logic Symbol of XOR Gate . .
XNOR Gate The XNOR (exclusive - NOR) gate is a combination XOR gate followed by an inverter. Its output is "true" if the inputs are the same, and "false" if the inputs are different. In simple words, the output is if the input are the same, otherwise the output is . The logic circuit of XNOR gate is A A ≈ B B C = A ≈ B Fig.
. Logic Circuit of XNOR Gate The output of the XNOR is NOT of XOR C = A ⊕ B = A . B + A . B = AB + A B (Using De Morgan's Theorem) In boolean algebra, ⊙ or "included dot" stands for the XNOR.
Therefore, C = A ⊙ B The logical symbol is A C=A ⊙ B B Fig. . Logic Symbol of XNOR Gate The truth table for XNOR Gate is Input Output A B C Table . Truth Table for XNOR Gate Using combination of logic gates, complex operations can be performed.
In theory, there is no limit to the number of gates that can be arranged together in a single device. But in practice, there is a limit to the number of gates that can be packed into a given physical space. Arrays of logic gates are found in digital integrated circuits. Identity A + = A A .
= A Complement A + A = A . A = Commutative A + B = B + A A . B = B . A Associative A + (B + C) = (A + B) + C A .
(B . C) = (A . B) . C Distributive A .
(A + C) Null Element A + = A . =