Boolean Expression For Xor Gate — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Boolean Expression for XOR Gate Used in digital electronics to determine an output (Y) that is true (1) if and only if the two inputs (A and B) are different. Define the XOR (Exclusive OR) operation: Y is true if A and B are different. List the truth table for A, B, and Y (A=B Y=0; A B Y=1). Identify the product terms where Y=1: (A=0, B=1) and (A=1, B=0). Write the Sum-of-Products (SOP) expression using the identified terms: A B + A B . A, B, and Y must be binary variables (0 or 1). Confusing XOR with OR (which is 1 if A or B is 1). Assuming the output is always 1 (this is only true if A and B are guaranteed to be different). Treating the variables as continuous values instead of discrete binary states (0 or 1).