The function F(xy,z,w) is used in a combinational circuit that can generate a binary output of 1 when the number of variables having binary input of 0 is greater than the number of input variables having binary input 1. The binary input of 0 is less than the number of input variables having binary input 1, the circuit generatesa don't care when the number inputs having 1's equals the number of inputs having zeros. i Complete the truth table of F as a function of the inputs (x.y,z.w). l circuit generates a binary output of 0 when the number of variables having ii- Construct the k-map ofF in terms of (x,y,z,w) by inserting either 0, 1 orx. iii- Simplify F using sum of products without the don't care terms and match it to one of the following, f-None of the above iv- Simplify F using sum of products with the don't care terms and match it to one of the following; f-None of the above