Consider the following boolean function of four variables, f (w, x, y,z) =…

To simplify the boolean function f(w, x, y, z) = Σ(1, 3, 4, 6, 9, 11, 12, 14), we analyze the binary representations of the minterms. Converting to binary: 0001, 0011, 0100, 0110, 1001, 1011, 1100, 1110. Observing the bits for variables x and z: when x=0, z is always 1; when x=1, z is always 0. This indicates the function depends on whether x and z are different (x ⊕ z). The variables w and y change values within the groups, meaning they are eliminated. Thus, f = x ⊕ z.