Boolean Expression For Xnor Gate — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Boolean Expression for XNOR Gate This expression defines the output (Y) of an XNOR gate, which is true (1) only when both inputs (A and B) are equal. Recall the definition of XOR: A B = A B + A B. The XNOR gate is the negation of the XOR gate: Y = A B . Apply De Morgan's theorem or algebraic simplification to the negated XOR expression. The simplified canonical form is derived as Y = AB + A B . A and B must be binary variables (A, B 0, 1 ). The output Y must also be binary (Y 0, 1 ). Confusing XNOR with NAND (NAND is A B ). Assuming the output is always 1 (it depends entirely on whether the inputs are equal). Treating the variables as continuous physical quantities instead of discrete binary states.