The function F(x, y, z, w) is used in a combinational circuit that can generate a binary ouput of 1 when the variables having binary input of 0 is greater than the number of input variables having binary input 1. The combinational circuit generates a binary output of 0 when the number of variables having binary input 1. The circuit generates a don't care when the number input having 1's equals the number of inputs having zeros.

i - complete the truth tables of F as a function of the inputs (x, y, z, w)